- PorousFlowDictatorThe UserObject that holds the list of PorousFlow variable names
C++ Type:UserObjectName
Controllable:No
Description:The UserObject that holds the list of PorousFlow variable names
- displacementsThe displacements appropriate for the simulation geometry and coordinate system
C++ Type:std::vector<VariableName>
Controllable:No
Description:The displacements appropriate for the simulation geometry and coordinate system
PorousFlowVolumetricStrain
This Material computes volumetric strain and volumetric strain rate. It requires a SolidMechanics strain calculator, which will usually be ComputeSmallStrain, to compute the Material property total_strain. It then calculates
PorousFlow_total_volumetric_strain_qpwhich is , where istotal_strainPorousFlow_volumetric_strain_rate_qpwhich is .
It also calculates derivatives of these with respect to the PorousFlow variables.
commentnote
If your SolidMechanics strain calculator uses base_name then you must ensure that you supply the same base_name to this material. This page contains more information.
commentnote
The derivatives calculated assume Cartesian small strain. Therefore, if you use a finite-strain calculator, or if you're using other coordinate systems, such as RZ coordinates, the Jacobian won't be exact, which will lead to slightly poorer convergence
This Material provides the time-derivative of the volumetric strain to the PorousFlowMassVolumetricExpansion and PorousFlowHeatVolumetricExpansion. Related information can be found here.
Input Parameters
- at_nodesFalseEvaluate Material properties at nodes instead of quadpoints
Default:False
C++ Type:bool
Controllable:No
Description:Evaluate Material properties at nodes instead of quadpoints
- base_nameThis should be the same base_name as given to the TensorMechanics object that computes strain
C++ Type:std::string
Controllable:No
Description:This should be the same base_name as given to the TensorMechanics object that computes strain
- blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
- boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
- computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
- constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Options:NONE, ELEMENT, SUBDOMAIN
Controllable:No
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
- declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
- prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
- stateful_displacementsTrue
Default:True
C++ Type:bool
Controllable:No
- use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Optional Parameters
- control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
- enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
- implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
- seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator
- use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Advanced Parameters
- output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector<std::string>
Controllable:No
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
- outputsnone Vector of output names where you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
Outputs Parameters
Input Files
- (modules/porous_flow/test/tests/poroperm/linear_test_vals.i)
- (modules/porous_flow/test/tests/dirackernels/strain_at_nearest_qp.i)
- (modules/porous_flow/test/tests/poro_elasticity/vol_expansion_poroperm.i)
- (modules/porous_flow/test/tests/energy_conservation/heat05.i)
- (modules/porous_flow/test/tests/jacobian/mass01_fully_saturated.i)
- (modules/porous_flow/test/tests/jacobian/mass08.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi_fully_saturated_volume.i)
- (modules/porous_flow/examples/tutorial/11.i)
- (modules/porous_flow/test/tests/jacobian/denergy05.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
- (modules/porous_flow/test/tests/poroperm/poro_thm.i)
- (modules/porous_flow/test/tests/heterogeneous_materials/vol_expansion_poroperm.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
- (modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
- (modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
- (modules/porous_flow/test/tests/jacobian/mass10_nodens.i)
- (modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
- (modules/porous_flow/test/tests/mass_conservation/mass12.i)
- (modules/porous_flow/test/tests/jacobian/phe01.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel.i)
- (modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
- (modules/porous_flow/test/tests/jacobian/denergy03.i)
- (modules/porous_flow/test/tests/energy_conservation/heat03.i)
- (modules/porous_flow/test/tests/jacobian/denergy04.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
- (modules/porous_flow/examples/tutorial/11_2D.i)
- (modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated_volume.i)
- (modules/porous_flow/test/tests/energy_conservation/heat04.i)
- (modules/porous_flow/test/tests/mass_conservation/mass04.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
- (modules/porous_flow/examples/thm_example/2D.i)
- (modules/porous_flow/test/tests/jacobian/fflux08.i)
- (modules/porous_flow/examples/thm_example/2D_c.i)
- (modules/porous_flow/test/tests/jacobian/heat_vol_exp01.i)
- (modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
- (modules/porous_flow/test/tests/jacobian/mass10.i)
- (modules/porous_flow/test/tests/mass_conservation/mass11.i)
- (modules/porous_flow/test/tests/poroperm/except2.i)
- (modules/porous_flow/test/tests/poroperm/poro_hm.i)
- (modules/porous_flow/test/tests/mass_conservation/mass13.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated_volume.i)
- (modules/porous_flow/test/tests/jacobian/denergy02.i)
- (modules/porous_flow/test/tests/poroperm/poro_tm.i)
- (modules/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated.i)
- (modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
- (modules/porous_flow/test/tests/poroperm/except1.i)
- (modules/porous_flow/test/tests/jacobian/desorped_mass01.i)
- (modules/porous_flow/test/tests/poroperm/linear_except1.i)
(modules/porous_flow/test/tests/poroperm/linear_test_vals.i)
# Testing PorousFlowPorosityLinear produces correct values:
# porosity = porosity_ref + P_coeff * (P - P_ref) + T_coeff * (T - T_ref) + epv_coeff * (epv - epv_coeff)
# = 0.5 + 2 * (1 - 0.5) + 0.5 * (2 - -3) + 4 * (3 - 2.5)
# = 6
[GlobalParams]
PorousFlowDictator = dictator
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
number_fluid_phases = 1
number_fluid_components = 1
porous_flow_vars = pp
[]
[]
[Variables]
[pp]
initial_condition = 1
[]
[T]
initial_condition = 2
[]
[disp]
[]
[]
[ICs]
[disp]
type = FunctionIC
variable = disp
function = '3 * x'
[]
[]
[Kernels]
[pp]
type = TimeDerivative
variable = pp
[]
[T]
type = TimeDerivative
variable = T
[]
[disp]
type = TimeDerivative
variable = disp
[]
[]
[AuxVariables]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
point = '0 0 0'
variable = porosity
[]
[]
[Materials]
[ps]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[pf]
type = PorousFlowEffectiveFluidPressure
[]
[total_strain]
type = ComputeSmallStrain
displacements = disp
[]
[volstrain]
type = PorousFlowVolumetricStrain
displacements = disp
[]
[porosity]
type = PorousFlowPorosityLinear
porosity_ref = 0.5
P_ref = 0.5
P_coeff = 2.0
T_ref = -3.0
T_coeff = 0.5
epv_ref = 2.5
epv_coeff = 4.0
[]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/dirackernels/strain_at_nearest_qp.i)
# Demonstrates the correct usage of strain_at_nearest_qp when using a nodal PorousFlowPorosity
# For the PorousFlowPorosity Material to require the strain_at_nearest_qp=true flag, it must:
# - be a nodal Material
# - be coupled to solid mechanics (mechanical=true)
# - be part of a simulation with DiracKernels
# The reason for this requirement is that the volumetric strain is a standard Material (at_nodes=false)
# so that it is evaluated at the single Dirac quadpoint, and has size = 1 (assuming just one Dirac point).
# However, the PorousFlowPorosity Material will have size = 2 (number of nodes in the element containing the Dirac point).
# So when the PorousFlowPorosity Material is evaluated, it will use _vol_strain at 2 points.
# If strain_at_nearest_qp=false, then _vol_strain will be evaluated at two quadpoints, but it only has size=1, leading to a segfault
# If strain_at_nearest_qp=true, then _vol_strain will be evaluated correctly just at the single quadpoint
#
# This input file solves no useful physics: it is just illustrating the above point
[Mesh]
type = GeneratedMesh
dim = 1
nx = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
strain_at_nearest_qp = true
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'disp_x'
number_fluid_phases = 1
number_fluid_components = 1
[]
[dummy_sum]
type = PorousFlowSumQuantity
[]
[]
[Variables]
[disp_x]
[]
[]
[Kernels]
[dummy]
type = Diffusion
variable = disp_x
[]
[]
[DiracKernels]
[line_sink]
type = PorousFlowPolyLineSink
function_of = temperature
SumQuantityUO = dummy_sum
point_file = strain_at_nearest_qp.bh
p_or_t_vals = '0'
fluxes = '0'
variable = disp_x
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature # needed because of the PorousFlowPolyLineSink
[]
[total_strain]
type = ComputeSmallStrain
displacements = disp_x
[]
[vol_strain]
type = PorousFlowVolumetricStrain
displacements = disp_x
[]
[porosity_at_nodes]
type = PorousFlowPorosity
mechanical = true # to ensure coupling with volumetric strain
at_nodes = true # to ensure evaluation at nodes
porosity_zero = 0
[]
[]
[Preconditioning]
[usual]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
end_time = 1
dt = 1
solve_type = NEWTON
[]
(modules/porous_flow/test/tests/poro_elasticity/vol_expansion_poroperm.i)
# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion and porosity increase.
# Check that permeability is calculated correctly from porosity.
#
# P = t
# With the Biot coefficient being 1, the effective stresses should be
# stress_xx = stress_yy = stress_zz = t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = t.
#
# With the biot coefficient being 1, the porosity (phi) # at time t is:
# phi = 1 - (1 - phi0) / exp(vol_strain)
# where phi0 is the porosity at t = 0 and P = 0.
#
# The permeability (k) is
# k = k_anisotropic * f * d^2 * phi^n / (1-phi)^m
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[p]
[]
[]
[BCs]
[p]
type = FunctionDirichletBC
boundary = 'bottom top'
variable = p
function = t
[]
[xmin]
type = DirichletBC
boundary = left
variable = disp_x
value = 0
[]
[ymin]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0
[]
[zmin]
type = DirichletBC
boundary = back
variable = disp_z
value = 0
[]
[]
[Kernels]
[p_does_not_really_diffuse]
type = Diffusion
variable = p
[]
[TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[poro]
order = CONSTANT
family = MONOMIAL
[]
[perm_x]
order = CONSTANT
family = MONOMIAL
[]
[perm_y]
order = CONSTANT
family = MONOMIAL
[]
[perm_z]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[poro]
type = PorousFlowPropertyAux
property = porosity
variable = poro
[]
[perm_x]
type = PorousFlowPropertyAux
property = permeability
variable = perm_x
row = 0
column = 0
[]
[perm_y]
type = PorousFlowPropertyAux
property = permeability
variable = perm_y
row = 1
column = 1
[]
[perm_z]
type = PorousFlowPropertyAux
property = permeability
variable = perm_z
row = 2
column = 2
[]
[]
[Postprocessors]
[poro]
type = PointValue
variable = poro
point = '0 0 0'
[]
[perm_x]
type = PointValue
variable = perm_x
point = '0 0 0'
[]
[perm_y]
type = PointValue
variable = perm_y
point = '0 0 0'
[]
[perm_z]
type = PointValue
variable = perm_z
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'p'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 1
shear_modulus = 1
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = p
capillary_pressure = pc
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
solid_bulk = 1
biot_coefficient = 1
[]
[permeability]
type = PorousFlowPermeabilityKozenyCarman
k_anisotropy = '1 0 0 0 2 0 0 0 0.1'
poroperm_function = kozeny_carman_fd2
f = 0.1
d = 5
m = 2
n = 7
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
dt = 0.1
end_time = 1
[]
[Outputs]
file_base = vol_expansion_poroperm
csv = true
execute_on = 'timestep_end'
[]
(modules/porous_flow/test/tests/energy_conservation/heat05.i)
# Demonstrates that porosity is correctly initialised,
# since the residual should be zero in this example.
# If initQpStatefulProperties of the Porosity calculator
# is incorrect then the residual will be nonzero.
[Mesh]
type = GeneratedMesh
dim = 3
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
biot_coefficient = 0.7
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.5
[]
[temp]
initial_condition = 1.0
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[should_be_zero]
type = NumNonlinearIterations
[]
[]
[Executioner]
type = Transient
num_steps = 1
nl_abs_tol = 1e-16
[]
[Outputs]
file_base = heat05
csv = true
[]
(modules/porous_flow/test/tests/jacobian/mass01_fully_saturated.i)
# FullySaturatedMassTimeDerivative
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
bulk_modulus = 1.5
density0 = 1.0
[]
[]
[Variables]
[pp]
[]
[T]
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[pp]
type = RandomIC
variable = pp
min = 0
max = 1
[]
[T]
type = RandomIC
variable = T
min = 0
max = 1
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = pp
coupling_type = ThermoHydroMechanical
biot_coefficient = 0.9
[]
[dummyT]
type = TimeDerivative
variable = T
[]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z T'
number_fluid_phases = 1
number_fluid_components = 1
[]
[simple1]
type = TensorMechanicsPlasticSimpleTester
a = 0
b = 1
strength = 1E20
yield_function_tolerance = 1.0E-9
internal_constraint_tolerance = 1.0E-9
[]
[]
[Materials]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 2.0
shear_modulus = 3.0
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = the_simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial vaue of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.9
fluid_bulk_modulus = 1.5
solid_bulk_compliance = 0.5
[]
[thermal_expansion]
type = PorousFlowConstantThermalExpansionCoefficient
biot_coefficient = 0.9
fluid_coefficient = 0.5
drained_coefficient = 0.4
[]
[]
[Preconditioning]
[check]
type = SMP
full = true
#petsc_options = '-snes_test_display'
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 2
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/jacobian/mass08.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi_fully_saturated_volume.i)
# Terzaghi's problem of consolodation of a drained medium
# The FullySaturated Kernels are used, with multiply_by_density = false
# so that this becomes a linear problem with constant Biot Modulus
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
coupling_type = HydroMechanical
biot_coefficient = 0.6
multiply_by_density = false
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
multiply_by_density = false
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
fluid_bulk_modulus = 8
solid_bulk_compliance = 0.25
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi_fully_saturated_volume
[csv]
type = CSV
[]
[]
(modules/porous_flow/examples/tutorial/11.i)
# Two-phase borehole injection problem
[Mesh]
[annular]
type = AnnularMeshGenerator
nr = 10
rmin = 1.0
rmax = 10
growth_r = 1.4
nt = 4
dmin = 0
dmax = 90
[]
[make3D]
input = annular
type = MeshExtruderGenerator
extrusion_vector = '0 0 12'
num_layers = 3
bottom_sideset = 'bottom'
top_sideset = 'top'
[]
[shift_down]
type = TransformGenerator
transform = TRANSLATE
vector_value = '0 0 -6'
input = make3D
[]
[aquifer]
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 0 -2'
top_right = '10 10 2'
input = shift_down
[]
[injection_area]
type = ParsedGenerateSideset
combinatorial_geometry = 'x*x+y*y<1.01'
included_subdomains = 1
new_sideset_name = 'injection_area'
input = 'aquifer'
[]
[rename]
type = RenameBlockGenerator
old_block = '0 1'
new_block = 'caps aquifer'
input = 'injection_area'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pwater pgas T disp_x disp_y'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureVG
alpha = 1E-6
m = 0.6
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
gravity = '0 0 0'
biot_coefficient = 1.0
PorousFlowDictator = dictator
[]
[Variables]
[pwater]
initial_condition = 20E6
[]
[pgas]
initial_condition = 20.1E6
[]
[T]
initial_condition = 330
scaling = 1E-5
[]
[disp_x]
scaling = 1E-5
[]
[disp_y]
scaling = 1E-5
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[vol_strain_rate_water]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = pgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = pgas
[]
[vol_strain_rate_co2]
type = PorousFlowMassVolumetricExpansion
fluid_component = 1
variable = pgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = T
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = T
[]
[conduction]
type = PorousFlowHeatConduction
use_displaced_mesh = false
variable = T
[]
[vol_strain_rate_heat]
type = PorousFlowHeatVolumetricExpansion
variable = T
[]
[grad_stress_x]
type = StressDivergenceTensors
temperature = T
variable = disp_x
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 0
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
variable = disp_x
use_displaced_mesh = false
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
temperature = T
variable = disp_y
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 1
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
variable = disp_y
use_displaced_mesh = false
component = 1
[]
[]
[AuxVariables]
[disp_z]
[]
[effective_fluid_pressure]
family = MONOMIAL
order = CONSTANT
[]
[mass_frac_phase0_species0]
initial_condition = 1 # all water in phase=0
[]
[mass_frac_phase1_species0]
initial_condition = 0 # no water in phase=1
[]
[sgas]
family = MONOMIAL
order = CONSTANT
[]
[swater]
family = MONOMIAL
order = CONSTANT
[]
[stress_rr]
family = MONOMIAL
order = CONSTANT
[]
[stress_tt]
family = MONOMIAL
order = CONSTANT
[]
[stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[effective_fluid_pressure]
type = ParsedAux
coupled_variables = 'pwater pgas swater sgas'
expression = 'pwater * swater + pgas * sgas'
variable = effective_fluid_pressure
[]
[swater]
type = PorousFlowPropertyAux
variable = swater
property = saturation
phase = 0
execute_on = timestep_end
[]
[sgas]
type = PorousFlowPropertyAux
variable = sgas
property = saturation
phase = 1
execute_on = timestep_end
[]
[stress_rr]
type = RankTwoScalarAux
variable = stress_rr
rank_two_tensor = stress
scalar_type = RadialStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_tt]
type = RankTwoScalarAux
variable = stress_tt
rank_two_tensor = stress
scalar_type = HoopStress
point1 = '0 0 0'
point2 = '0 0 1'
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
variable = stress_zz
rank_two_tensor = stress
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
execute_on = timestep_end
[]
[]
[BCs]
[roller_tmax]
type = DirichletBC
variable = disp_x
value = 0
boundary = dmax
[]
[roller_tmin]
type = DirichletBC
variable = disp_y
value = 0
boundary = dmin
[]
[pinned_top_bottom_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'top bottom'
[]
[pinned_top_bottom_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'top bottom'
[]
[cavity_pressure_x]
type = Pressure
boundary = injection_area
variable = disp_x
component = 0
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cavity_pressure_y]
type = Pressure
boundary = injection_area
variable = disp_y
component = 1
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cold_co2]
type = DirichletBC
boundary = injection_area
variable = T
value = 290 # injection temperature
use_displaced_mesh = false
[]
[constant_co2_injection]
type = PorousFlowSink
boundary = injection_area
variable = pgas
fluid_phase = 1
flux_function = -1E-4
use_displaced_mesh = false
[]
[outer_water_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pwater
fluid_phase = 0
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[outer_co2_removal]
type = PorousFlowPiecewiseLinearSink
boundary = rmax
variable = pgas
fluid_phase = 1
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20.1E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[]
[FluidProperties]
[true_water]
type = Water97FluidProperties
[]
[tabulated_water]
type = TabulatedFluidProperties
fp = true_water
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_file = water97_tabulated_11.csv
[]
[true_co2]
type = CO2FluidProperties
[]
[tabulated_co2]
type = TabulatedFluidProperties
fp = true_co2
temperature_min = 275
pressure_max = 1E8
interpolated_properties = 'density viscosity enthalpy internal_energy'
fluid_property_file = co2_tabulated_11.csv
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[saturation_calculator]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = tabulated_water
phase = 0
[]
[co2]
type = PorousFlowSingleComponentFluid
fp = tabulated_co2
phase = 1
[]
[relperm_water]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.1
sum_s_res = 0.2
phase = 0
[]
[relperm_co2]
type = PorousFlowRelativePermeabilityBC
nw_phase = true
lambda = 2
s_res = 0.1
sum_s_res = 0.2
phase = 1
[]
[porosity_mat]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
reference_temperature = 330
reference_porepressure = 20E6
thermal_expansion_coeff = 15E-6 # volumetric
solid_bulk = 8E9 # unimportant since biot = 1
[]
[permeability_aquifer]
type = PorousFlowPermeabilityKozenyCarman
block = aquifer
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-12
[]
[permeability_caps]
type = PorousFlowPermeabilityKozenyCarman
block = caps
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-15
k_anisotropy = '1 0 0 0 1 0 0 0 0.1'
[]
[rock_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '2 0 0 0 2 0 0 0 2'
[]
[rock_internal_energy]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2300
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 5E9
poissons_ratio = 0.0
[]
[strain]
type = ComputeSmallStrain
eigenstrain_names = 'thermal_contribution initial_stress'
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
eigenstrain_name = thermal_contribution
stress_free_temperature = 330
[]
[initial_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '20E6 0 0 0 20E6 0 0 0 20E6'
eigenstrain_name = initial_stress
[]
[stress]
type = ComputeLinearElasticStress
[]
[effective_fluid_pressure_mat]
type = PorousFlowEffectiveFluidPressure
[]
[volumetric_strain]
type = PorousFlowVolumetricStrain
[]
[]
[Postprocessors]
[effective_fluid_pressure_at_wellbore]
type = PointValue
variable = effective_fluid_pressure
point = '1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[constrained_effective_fluid_pressure_at_wellbore]
type = FunctionValuePostprocessor
function = constrain_effective_fluid_pressure
execute_on = timestep_begin
[]
[]
[Functions]
[constrain_effective_fluid_pressure]
type = ParsedFunction
symbol_names = effective_fluid_pressure_at_wellbore
symbol_values = effective_fluid_pressure_at_wellbore
expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
[]
[]
[Preconditioning]
active = basic
[basic]
type = SMP
full = true
petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
petsc_options_value = ' asm lu NONZERO 2'
[]
[preferred_but_might_not_be_installed]
type = SMP
full = true
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
end_time = 1E3
[TimeStepper]
type = IterationAdaptiveDT
dt = 1E3
growth_factor = 1.2
optimal_iterations = 10
[]
nl_abs_tol = 1E-7
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/test/tests/jacobian/denergy05.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, THM porosity wth _ensure_positive = true, and compressive strains
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.0
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.0
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.0
[]
[pgas]
type = RandomIC
variable = pgas
max = 0.01
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -0.01
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.7
thermal_expansion_coeff = 0.7
biot_coefficient = 0.9
solid_bulk = 10
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/time. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/s/m^3 and the
# Biot Modulus is not held fixed. This means that disp_z, porepressure,
# etc are not linear functions of t. Nevertheless, the ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = none
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = none
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = none
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi_constM.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 16
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi_constM
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poroperm/poro_thm.i)
# Test that porosity is correctly calculated.
# Porosity = biot + (phi0 - biot) * exp(-vol_strain + (biot - 1) / solid_bulk * (porepressure - ref_pressure) + thermal_exp_coeff * (temperature - ref_temperature))
# The parameters used are:
# biot = 0.7
# phi0 = 0.5
# vol_strain = 0.5
# solid_bulk = 0.3
# porepressure = 2
# ref_pressure = 3
# thermal_exp_coeff = 0.5
# temperature = 4
# ref_temperature = 3.5
# which yield porosity = 0.276599996677
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
biot_coefficient = 0.7
[]
[Variables]
[porepressure]
initial_condition = 2
[]
[temperature]
initial_condition = 4
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = FunctionIC
function = '0.5 * x'
variable = disp_x
[]
[]
[Kernels]
[dummy_p]
type = TimeDerivative
variable = porepressure
[]
[dummy_t]
type = TimeDerivative
variable = temperature
[]
[dummy_x]
type = TimeDerivative
variable = disp_x
[]
[dummy_y]
type = TimeDerivative
variable = disp_y
[]
[dummy_z]
type = TimeDerivative
variable = disp_z
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
variable = porosity
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[total_strain]
type = ComputeSmallStrain
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[porosity]
type = PorousFlowPorosity
mechanical = true
fluid = true
thermal = true
ensure_positive = false
porosity_zero = 0.5
solid_bulk = 0.3
thermal_expansion_coeff = 0.5
reference_porepressure = 3
reference_temperature = 3.5
[]
[]
[Executioner]
solve_type = Newton
type = Transient
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/heterogeneous_materials/vol_expansion_poroperm.i)
# Apply an increasing porepressure, with zero mechanical forces,
# and observe the corresponding volumetric expansion and porosity increase.
# Check that permeability is calculated correctly from porosity.
#
# P = t
# With the Biot coefficient being 1, the effective stresses should be
# stress_xx = stress_yy = stress_zz = t
# With bulk modulus = 1 then should have
# vol_strain = strain_xx + strain_yy + strain_zz = t.
#
# With the biot coefficient being 1, the porosity (phi) # at time t is:
# phi = 1 - (1 - phi0) / exp(vol_strain)
# where phi0 is the porosity at t = 0 and P = 0.
#
# The permeability (k) is
# k = k_anisotropic * f * d^2 * phi^n / (1-phi)^m
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[p]
[]
[]
[BCs]
[p]
type = FunctionDirichletBC
boundary = 'bottom top'
variable = p
function = t
[]
[xmin]
type = DirichletBC
boundary = left
variable = disp_x
value = 0
[]
[ymin]
type = DirichletBC
boundary = bottom
variable = disp_y
value = 0
[]
[zmin]
type = DirichletBC
boundary = back
variable = disp_z
value = 0
[]
[]
[Kernels]
[p_does_not_really_diffuse]
type = Diffusion
variable = p
[]
[TensorMechanics]
displacements = 'disp_x disp_y disp_z'
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1
variable = disp_z
component = 2
[]
[]
[AuxVariables]
[poro0]
order = CONSTANT
family = MONOMIAL
[]
[poro]
order = CONSTANT
family = MONOMIAL
[]
[perm_x]
order = CONSTANT
family = MONOMIAL
[]
[perm_y]
order = CONSTANT
family = MONOMIAL
[]
[perm_z]
order = CONSTANT
family = MONOMIAL
[]
[]
[ICs]
[poro0]
type = RandomIC
seed = 0
variable = poro0
max = 0.15
min = 0.05
[]
[]
[AuxKernels]
[poromat]
type = PorousFlowPropertyAux
property = porosity
variable = poro
[]
[perm_x]
type = PorousFlowPropertyAux
property = permeability
variable = perm_x
row = 0
column = 0
[]
[perm_y]
type = PorousFlowPropertyAux
property = permeability
variable = perm_y
row = 1
column = 1
[]
[perm_z]
type = PorousFlowPropertyAux
property = permeability
variable = perm_z
row = 2
column = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'p'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
bulk_modulus = 1
shear_modulus = 1
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = p
capillary_pressure = pc
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = poro0
solid_bulk = 1
biot_coefficient = 1
[]
[permeability]
type = PorousFlowPermeabilityKozenyCarman
k_anisotropy = '1 0 0 0 2 0 0 0 0.1'
poroperm_function = kozeny_carman_fd2
f = 0.1
d = 5
m = 2
n = 7
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -ksp_atol -ksp_rtol'
petsc_options_value = 'gmres bjacobi 1E-10 1E-10 10 1E-15 1E-10'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
dt = 0.1
end_time = 1
[]
[Outputs]
exodus = true
execute_on = 'timestep_end'
[]
(modules/porous_flow/test/tests/jacobian/mass_vol_exp01.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, constant porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[simple1]
type = TensorMechanicsPlasticSimpleTester
a = 0
b = 1
strength = 1E20
yield_function_tolerance = 1.0E-9
internal_constraint_tolerance = 1.0E-9
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/terzaghi.i)
# Terzaghi's problem of consolodation of a drained medium
#
# A saturated soil sample sits in a bath of water.
# It is constrained on its sides, and bottom.
# Its sides and bottom are also impermeable.
# Initially it is unstressed.
# A normal stress, q, is applied to the soil's top.
# The soil then slowly compresses as water is squeezed
# out from the sample from its top (the top BC for
# the porepressure is porepressure = 0).
#
# See, for example. Section 2.2 of the online manuscript
# Arnold Verruijt "Theory and Problems of Poroelasticity" Delft University of Technology 2013
# but note that the "sigma" in that paper is the negative
# of the stress in TensorMechanics
#
# Here are the problem's parameters, and their values:
# Soil height. h = 10
# Soil's Lame lambda. la = 2
# Soil's Lame mu, which is also the Soil's shear modulus. mu = 3
# Soil bulk modulus. K = la + 2*mu/3 = 4
# Soil confined compressibility. m = 1/(K + 4mu/3) = 0.125
# Soil bulk compliance. 1/K = 0.25
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Soil initial storativity, which is the reciprocal of the initial Biot modulus. S = phi0/Kf + (alpha - phi0)(1 - alpha)/K = 0.0625
# Consolidation coefficient. c = k/(S + alpha^2 m) = 13.95348837
# Normal stress on top. q = 1
# Initial porepressure, resulting from instantaneous application of q, assuming corresponding instantaneous increase of porepressure (Note that this is calculated by MOOSE: we only need it for the analytical solution). p0 = alpha*m*q/(S + alpha^2 m) = 0.69767442
# Initial vertical displacement (down is positive), resulting from instantaneous application of q (Note this is calculated by MOOSE: we only need it for the analytical solution). uz0 = q*m*h*S/(S + alpha^2 m)
# Final vertical displacement (down in positive) (Note this is calculated by MOOSE: we only need it for the analytical solution). uzinf = q*m*h
#
# The solution for porepressure is
# P = 4*p0/\pi \sum_{k=1}^{\infty} \frac{(-1)^{k-1}}{2k-1} \cos ((2k-1)\pi z/(2h)) \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
# This series converges very slowly for ct/h^2 small, so in that domain
# P = p0 erf( (1-(z/h))/(2 \sqrt(ct/h^2)) )
#
# The degree of consolidation is defined as
# U = (uz - uz0)/(uzinf - uz0)
# where uz0 and uzinf are defined above, and
# uz = the vertical displacement of the top (down is positive)
# U = 1 - (8/\pi^2)\sum_{k=1}^{\infty} \frac{1}{(2k-1)^2} \exp(-(2k-1)^2 \pi^2 ct/(4 h^2))
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 10
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = 0
zmax = 10
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[topdrained]
type = DirichletBC
variable = porepressure
value = 0
boundary = front
[]
[topload]
type = NeumannBC
variable = disp_z
value = -1
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 0.96
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
# bulk modulus is lambda + 2*mu/3 = 2 + 2*3/3 = 4
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 4
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
use_displaced_mesh = false
[]
[p1]
type = PointValue
outputs = csv
point = '0 0 1'
variable = porepressure
use_displaced_mesh = false
[]
[p2]
type = PointValue
outputs = csv
point = '0 0 2'
variable = porepressure
use_displaced_mesh = false
[]
[p3]
type = PointValue
outputs = csv
point = '0 0 3'
variable = porepressure
use_displaced_mesh = false
[]
[p4]
type = PointValue
outputs = csv
point = '0 0 4'
variable = porepressure
use_displaced_mesh = false
[]
[p5]
type = PointValue
outputs = csv
point = '0 0 5'
variable = porepressure
use_displaced_mesh = false
[]
[p6]
type = PointValue
outputs = csv
point = '0 0 6'
variable = porepressure
use_displaced_mesh = false
[]
[p7]
type = PointValue
outputs = csv
point = '0 0 7'
variable = porepressure
use_displaced_mesh = false
[]
[p8]
type = PointValue
outputs = csv
point = '0 0 8'
variable = porepressure
use_displaced_mesh = false
[]
[p9]
type = PointValue
outputs = csv
point = '0 0 9'
variable = porepressure
use_displaced_mesh = false
[]
[p99]
type = PointValue
outputs = csv
point = '0 0 10'
variable = porepressure
use_displaced_mesh = false
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 10'
variable = disp_z
use_displaced_mesh = false
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.5*t<0.1,0.5*t,0.1)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.0001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = terzaghi
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/undrained_oedometer.i)
# An undrained oedometer test on a saturated poroelastic sample.
#
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
#
# Under these conditions
# porepressure = -(Fluid bulk modulus)*log(1 - 0.01t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 1*log(1-0.01t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it just comes from conserving fluid mass
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = undrained_oedometer
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/mass10_nodens.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
# multiply_by_density = false
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
strain_at_nearest_qp = true
multiply_by_density = false
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
strain_at_nearest_qp = true
[]
[nearest_qp]
type = PorousFlowNearestQp
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/jacobian/desorped_mass_vol_exp01.i)
# Tests the PorousFlowDesorpedMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[conc]
family = MONOMIAL
order = CONSTANT
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[conc]
type = RandomIC
min = 0
max = 1
variable = conc
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[conc_in_poro]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = porepressure
[]
[conc]
type = PorousFlowDesorpedMassVolumetricExpansion
conc_var = conc
variable = conc
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z conc'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/mass_conservation/mass12.i)
# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the r_min, r_max and bottom boundaries
# A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 - 0.01*t))
[Mesh]
type = GeneratedMesh
dim = 2
nx = 1
ny = 1
xmin = 1.0
xmax = 2.0
ymin = -0.5
ymax = 0.5
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_r]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[bottom_roller]
type = DirichletBC
variable = disp_z
value = 0
boundary = bottom
[]
[side_rollers]
type = DirichletBC
variable = disp_r
value = 0
boundary = 'left right'
[]
[top_move]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = top
[]
[]
[Kernels]
[grad_stress_r]
type = StressDivergenceRZTensors
variable = disp_r
component = 0
[]
[grad_stress_z]
type = StressDivergenceRZTensors
variable = disp_z
component = 1
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_r
component = 0
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_z
component = 1
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_rz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rz
index_i = 0
index_j = 1
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_r disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = porepressure
[]
[rdisp]
type = PointValue
outputs = csv
point = '2 0 0'
use_displaced_mesh = false
variable = disp_r
[]
[stress_rr]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_rr
[]
[stress_zz]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_zz
[]
[stress_tt]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_tt
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/phe01.i)
# Capped weak-plane plasticity, Kernel = PorousFlowPlasticHeatEnergy
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[temperature]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[temp]
type = RandomIC
variable = temperature
min = 0.1
max = 0.2
[]
[]
[Kernels]
[phe]
type = PorousFlowPlasticHeatEnergy
variable = temperature
[]
[dummy_disp_x]
type = PorousFlowPlasticHeatEnergy
coeff = -1.3
variable = disp_x
[]
[dummy_disp_y]
type = PorousFlowPlasticHeatEnergy
coeff = 1.1
variable = disp_y
[]
[dummy_disp_z]
type = PorousFlowPlasticHeatEnergy
coeff = 0.2
variable = disp_z
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temperature disp_x disp_y disp_z'
number_fluid_phases = 0
number_fluid_components = 0
[]
[coh]
type = TensorMechanicsHardeningExponential
value_0 = 1
value_residual = 2
rate = 1
[]
[tanphi]
type = TensorMechanicsHardeningExponential
value_0 = 1.0
value_residual = 0.5
rate = 2
[]
[tanpsi]
type = TensorMechanicsHardeningExponential
value_0 = 0.1
value_residual = 0.05
rate = 3
[]
[t_strength]
type = TensorMechanicsHardeningExponential
value_0 = 100
value_residual = 100
rate = 1
[]
[c_strength]
type = TensorMechanicsHardeningCubic
value_0 = 1
value_residual = 0
internal_0 = -2
internal_limit = 0
[]
[]
[Materials]
[temp]
type = PorousFlowTemperature
temperature = temperature
[]
[porosity]
type = PorousFlowPorosity
thermal = true
mechanical = true
porosity_zero = 0.3
thermal_expansion_coeff = 1.3
[]
[volstrain]
type = PorousFlowVolumetricStrain
[]
[phe]
type = ComputePlasticHeatEnergy
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
lambda = 1.0
shear_modulus = 2.0
[]
[strain]
type = ComputeIncrementalSmallStrain
displacements = 'disp_x disp_y disp_z'
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
initial_stress = '0 0 0 0 0 1 0 1 -1.5'
eigenstrain_name = ini_stress
[]
[admissible]
type = ComputeMultipleInelasticStress
inelastic_models = mc
tangent_operator = nonlinear
[]
[mc]
type = CappedWeakPlaneStressUpdate
cohesion = coh
tan_friction_angle = tanphi
tan_dilation_angle = tanpsi
tensile_strength = t_strength
compressive_strength = c_strength
max_NR_iterations = 20
tip_smoother = 0
smoothing_tol = 1
yield_function_tol = 1E-10
perfect_guess = false
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/time. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/s/m^3. The ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
# The relationship between the constant poroelastic source
# s (m^3/second/m^3) and the PorousFlow source, S (kg/second/m^3) is
# S = fluid_density * s = s * exp(porepressure/fluid_bulk)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = porepressure
coupling_type = HydroMechanical
biot_coefficient = 0.3
[]
[source]
type = BodyForce
function = '0.1*exp(8.163265306*0.1*t/3.3333333333)'
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature_qp]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # the "const" is irrelevant here: all that uses Porosity is the BiotModulus, which just uses the initial value of porosity
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.3
fluid_bulk_modulus = 3.3333333333
solid_bulk_compliance = 0.5
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_fully_saturated
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
#
# FINAL NOTE: The above solution assumes constant Biot Modulus.
# In porous_flow this is not true. Therefore the solution is
# a little different than in the paper. This test was therefore
# validated against MOOSE's poromechanics, which can choose either
# a constant Biot Modulus (which has been shown to agree with
# the analytic solution), or a non-constant Biot Modulus (which
# gives the same results as porous_flow).
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel
[csv]
time_step_interval = 3
type = CSV
[]
[]
(modules/porous_flow/examples/coal_mining/fine_with_fluid.i)
#################################################################
#
# NOTE:
# The mesh for this model is too large for the MOOSE repository
# so is kept in the the large_media submodule
#
#################################################################
#
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = fine.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 30
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[]
[x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
use_displaced_mesh = false
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
use_displaced_mesh = false
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[wc_z]
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 10'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_for_aux]
type = PorousFlowPorosity
at_nodes = false
fluid = true
mechanical = true
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.05
smoothing_tol = 0.05 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
# best if you don't have mumps:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.0025
end_time = 0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[]
(modules/porous_flow/test/tests/jacobian/denergy03.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, TM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
thermal = true
mechanical = true
porosity_zero = 0.7
thermal_expansion_coeff = 0.5
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/energy_conservation/heat03.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow or heat flow.
# Heat energy conservation is checked.
#
# Under these conditions (here L is the height of the sample: L=1 in this case):
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# Also, the total heat energy must be conserved: this is
# fluid_mass * fluid_heat_cap * temperature + (1 - porosity) * rock_density * rock_heat_cap * temperature * volume
# Since fluid_mass is conserved, and volume = (1 - 0.01*t), this can be solved for temperature:
# temperature = initial_heat_energy / (fluid_mass * fluid_heat_cap + (1 - porosity) * rock_density * rock_heat_cap * (1 - 0.01*t))
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
# initial temperature = 10
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
# t0 = 11.5 / (0.159 + 0.99 * (1 - 0.01*t))
#
# Regarding the "log" - it comes from preserving fluid mass
#
# Note that the PorousFlowMassVolumetricExpansion and PorousFlowHeatVolumetricExpansion Kernels are used
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
initial_condition = 0.1
[]
[temp]
initial_condition = 10
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
viscosity = 1
thermal_expansion = 0
cv = 1.3
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
porosity_zero = 0.1
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 2.2
density = 0.5
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = temp
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[rock_heat]
type = PorousFlowHeatEnergy
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[fluid_heat]
type = PorousFlowHeatEnergy
include_porous_skeleton = false
phase = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 2
end_time = 10
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat03
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/denergy04.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density, THM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
ensure_positive = false
porosity_zero = 0.7
thermal_expansion_coeff = 0.7
biot_coefficient = 0.9
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation.i)
# A sample is constrained on all sides and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in porepressure is observed.
#
# Source = s (units = kg/m^3/second)
#
# Expect:
# fluid_mass = mass0 + s*t
# stress = 0 (remember this is effective stress)
# Porepressure = fluid_bulk*log(fluid_mass_density/density_P0), where fluid_mass_density = fluid_mass*porosity
# porosity = biot+(phi0-biot)*exp(pp(biot-1)/solid_bulk)
#
# Parameters:
# Biot coefficient = 0.3
# Phi0 = 0.1
# Solid Bulk modulus = 2
# fluid_bulk = 13
# density_P0 = 1
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 13
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Functions]
[porosity_analytic]
type = ParsedFunction
expression = 'biot+(phi0-biot)*exp(pp*(biot-1)/bulk)'
symbol_names = 'biot phi0 pp bulk'
symbol_values = '0.3 0.1 p0 2'
[]
[]
[Postprocessors]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
[]
[porosity]
type = PointValue
outputs = 'console csv'
point = '0 0 0'
variable = porosity
[]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[porosity_analytic]
type = FunctionValuePostprocessor
function = porosity_analytic
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_max_it -snes_stol'
petsc_options_value = 'bcgs bjacobi 10000 1E-11'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation
[csv]
type = CSV
[]
[]
(modules/porous_flow/examples/tutorial/11_2D.i)
# Two-phase borehole injection problem in RZ coordinates
[Mesh]
[gen]
type = GeneratedMeshGenerator
dim = 2
nx = 10
xmin = 1.0
xmax = 10
bias_x = 1.4
ny = 3
ymin = -6
ymax = 6
[]
[aquifer]
input = gen
type = SubdomainBoundingBoxGenerator
block_id = 1
bottom_left = '0 -2 0'
top_right = '10 2 0'
[]
[injection_area]
type = ParsedGenerateSideset
combinatorial_geometry = 'x<1.0001'
included_subdomains = 1
new_sideset_name = 'injection_area'
input = 'aquifer'
[]
[rename]
type = RenameBlockGenerator
old_block = '0 1'
new_block = 'caps aquifer'
input = 'injection_area'
[]
coord_type = RZ
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pwater pgas T disp_r'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureVG
alpha = 1E-6
m = 0.6
[]
[]
[GlobalParams]
displacements = 'disp_r disp_z'
gravity = '0 0 0'
biot_coefficient = 1.0
PorousFlowDictator = dictator
[]
[Variables]
[pwater]
initial_condition = 20E6
[]
[pgas]
initial_condition = 20.1E6
[]
[T]
initial_condition = 330
scaling = 1E-5
[]
[disp_r]
scaling = 1E-5
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[vol_strain_rate_water]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = pgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = pgas
[]
[vol_strain_rate_co2]
type = PorousFlowMassVolumetricExpansion
fluid_component = 1
variable = pgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = T
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = T
[]
[conduction]
type = PorousFlowHeatConduction
use_displaced_mesh = false
variable = T
[]
[vol_strain_rate_heat]
type = PorousFlowHeatVolumetricExpansion
variable = T
[]
[grad_stress_r]
type = StressDivergenceRZTensors
temperature = T
variable = disp_r
eigenstrain_names = thermal_contribution
use_displaced_mesh = false
component = 0
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[]
[AuxVariables]
[disp_z]
[]
[effective_fluid_pressure]
family = MONOMIAL
order = CONSTANT
[]
[mass_frac_phase0_species0]
initial_condition = 1 # all water in phase=0
[]
[mass_frac_phase1_species0]
initial_condition = 0 # no water in phase=1
[]
[sgas]
family = MONOMIAL
order = CONSTANT
[]
[swater]
family = MONOMIAL
order = CONSTANT
[]
[stress_rr]
family = MONOMIAL
order = CONSTANT
[]
[stress_tt]
family = MONOMIAL
order = CONSTANT
[]
[stress_zz]
family = MONOMIAL
order = CONSTANT
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[AuxKernels]
[effective_fluid_pressure]
type = ParsedAux
coupled_variables = 'pwater pgas swater sgas'
expression = 'pwater * swater + pgas * sgas'
variable = effective_fluid_pressure
[]
[swater]
type = PorousFlowPropertyAux
variable = swater
property = saturation
phase = 0
execute_on = timestep_end
[]
[sgas]
type = PorousFlowPropertyAux
variable = sgas
property = saturation
phase = 1
execute_on = timestep_end
[]
[stress_rr_aux]
type = RankTwoAux
variable = stress_rr
rank_two_tensor = stress
index_i = 0
index_j = 0
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[porosity]
type = PorousFlowPropertyAux
variable = porosity
property = porosity
execute_on = timestep_end
[]
[]
[BCs]
[pinned_top_bottom_r]
type = DirichletBC
variable = disp_r
value = 0
boundary = 'top bottom'
[]
[cavity_pressure_r]
type = Pressure
boundary = injection_area
variable = disp_r
postprocessor = constrained_effective_fluid_pressure_at_wellbore
use_displaced_mesh = false
[]
[cold_co2]
type = DirichletBC
boundary = injection_area
variable = T
value = 290 # injection temperature
use_displaced_mesh = false
[]
[constant_co2_injection]
type = PorousFlowSink
boundary = injection_area
variable = pgas
fluid_phase = 1
flux_function = -1E-4
use_displaced_mesh = false
[]
[outer_water_removal]
type = PorousFlowPiecewiseLinearSink
boundary = right
variable = pwater
fluid_phase = 0
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[outer_co2_removal]
type = PorousFlowPiecewiseLinearSink
boundary = right
variable = pgas
fluid_phase = 1
pt_vals = '0 1E9'
multipliers = '0 1E8'
PT_shift = 20.1E6
use_mobility = true
use_relperm = true
use_displaced_mesh = false
[]
[]
[FluidProperties]
[true_water]
type = Water97FluidProperties
[]
[tabulated_water]
type = TabulatedBicubicFluidProperties
fp = true_water
temperature_min = 275
pressure_max = 1E8
fluid_property_file = water97_tabulated_11.csv
[]
[true_co2]
type = CO2FluidProperties
[]
[tabulated_co2]
type = TabulatedBicubicFluidProperties
fp = true_co2
temperature_min = 275
pressure_max = 1E8
fluid_property_file = co2_tabulated_11.csv
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = T
[]
[saturation_calculator]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'mass_frac_phase0_species0 mass_frac_phase1_species0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = tabulated_water
phase = 0
[]
[co2]
type = PorousFlowSingleComponentFluid
fp = tabulated_co2
phase = 1
[]
[relperm_water]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.1
sum_s_res = 0.2
phase = 0
[]
[relperm_co2]
type = PorousFlowRelativePermeabilityBC
nw_phase = true
lambda = 2
s_res = 0.1
sum_s_res = 0.2
phase = 1
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
reference_temperature = 330
reference_porepressure = 20E6
thermal_expansion_coeff = 15E-6 # volumetric
solid_bulk = 8E9 # unimportant since biot = 1
[]
[permeability_aquifer]
type = PorousFlowPermeabilityKozenyCarman
block = aquifer
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-12
[]
[permeability_caps]
type = PorousFlowPermeabilityKozenyCarman
block = caps
poroperm_function = kozeny_carman_phi0
phi0 = 0.1
n = 2
m = 2
k0 = 1E-15
k_anisotropy = '1 0 0 0 1 0 0 0 0.1'
[]
[rock_thermal_conductivity]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '2 0 0 0 2 0 0 0 2'
[]
[rock_internal_energy]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2300
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
youngs_modulus = 5E9
poissons_ratio = 0.0
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
eigenstrain_names = 'thermal_contribution initial_stress'
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = T
thermal_expansion_coeff = 5E-6 # this is the linear thermal expansion coefficient
eigenstrain_name = thermal_contribution
stress_free_temperature = 330
[]
[initial_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '20E6 0 0 0 20E6 0 0 0 20E6'
eigenstrain_name = initial_stress
[]
[stress]
type = ComputeLinearElasticStress
[]
[effective_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[volumetric_strain]
type = PorousFlowVolumetricStrain
[]
[]
[Postprocessors]
[effective_fluid_pressure_at_wellbore]
type = PointValue
variable = effective_fluid_pressure
point = '1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[constrained_effective_fluid_pressure_at_wellbore]
type = FunctionValuePostprocessor
function = constrain_effective_fluid_pressure
execute_on = timestep_begin
[]
[]
[Functions]
[constrain_effective_fluid_pressure]
type = ParsedFunction
symbol_names = effective_fluid_pressure_at_wellbore
symbol_values = effective_fluid_pressure_at_wellbore
expression = 'max(effective_fluid_pressure_at_wellbore, 20E6)'
[]
[]
[Preconditioning]
active = basic
[basic]
type = SMP
full = true
petsc_options = '-ksp_diagonal_scale -ksp_diagonal_scale_fix'
petsc_options_iname = '-pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap'
petsc_options_value = ' asm lu NONZERO 2'
[]
[preferred_but_might_not_be_installed]
type = SMP
full = true
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu mumps'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
end_time = 1E3
[TimeStepper]
type = IterationAdaptiveDT
dt = 1E3
growth_factor = 1.2
optimal_iterations = 10
[]
nl_abs_tol = 1E-7
[]
[Outputs]
exodus = true
[]
(modules/porous_flow/examples/coal_mining/coarse_with_fluid.i)
# Strata deformation and fluid flow aaround a coal mine - 3D model
#
# A "half model" is used. The mine is 400m deep and
# just the roof is studied (-400<=z<=0). The mining panel
# sits between 0<=x<=150, and 0<=y<=1000, so this simulates
# a coal panel that is 300m wide and 1000m long. The outer boundaries
# are 1km from the excavation boundaries.
#
# The excavation takes 0.5 years.
#
# The boundary conditions for this simulation are:
# - disp_x = 0 at x=0 and x=1150
# - disp_y = 0 at y=-1000 and y=1000
# - disp_z = 0 at z=-400, but there is a time-dependent
# Young modulus that simulates excavation
# - wc_x = 0 at y=-1000 and y=1000
# - wc_y = 0 at x=0 and x=1150
# - no flow at x=0, z=-400 and z=0
# - fixed porepressure at y=-1000, y=1000 and x=1150
# That is, rollers on the sides, free at top,
# and prescribed at bottom in the unexcavated portion.
#
# A single-phase unsaturated fluid is used.
#
# The small strain formulation is used.
#
# All stresses are measured in MPa, and time units are measured in years.
#
# The initial porepressure is hydrostatic with P=0 at z=0, so
# Porepressure ~ - 0.01*z MPa, where the fluid has density 1E3 kg/m^3 and
# gravity = = 10 m.s^-2 = 1E-5 MPa m^2/kg.
# To be more accurate, i use
# Porepressure = -bulk * log(1 + g*rho0*z/bulk)
# where bulk=2E3 MPa and rho0=1Ee kg/m^3.
# The initial stress is consistent with the weight force from undrained
# density 2500 kg/m^3, and fluid porepressure, and a Biot coefficient of 0.7, ie,
# stress_zz^effective = 0.025*z + 0.7 * initial_porepressure
# The maximum and minimum principal horizontal effective stresses are
# assumed to be equal to 0.8*stress_zz.
#
# Material properties:
# Young's modulus = 8 GPa
# Poisson's ratio = 0.25
# Cosserat layer thickness = 1 m
# Cosserat-joint normal stiffness = large
# Cosserat-joint shear stiffness = 1 GPa
# MC cohesion = 2 MPa
# MC friction angle = 35 deg
# MC dilation angle = 8 deg
# MC tensile strength = 1 MPa
# MC compressive strength = 100 MPa
# WeakPlane cohesion = 0.1 MPa
# WeakPlane friction angle = 30 deg
# WeakPlane dilation angle = 10 deg
# WeakPlane tensile strength = 0.1 MPa
# WeakPlane compressive strength = 100 MPa softening to 1 MPa at strain = 1
# Fluid density at zero porepressure = 1E3 kg/m^3
# Fluid bulk modulus = 2E3 MPa
# Fluid viscosity = 1.1E-3 Pa.s = 1.1E-9 MPa.s = 3.5E-17 MPa.year
#
[GlobalParams]
perform_finite_strain_rotations = false
displacements = 'disp_x disp_y disp_z'
Cosserat_rotations = 'wc_x wc_y wc_z'
PorousFlowDictator = dictator
biot_coefficient = 0.7
[]
[Mesh]
[file]
type = FileMeshGenerator
file = mesh/coarse.e
[]
[xmin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmin
normal = '-1 0 0'
input = file
[]
[xmax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = xmax
normal = '1 0 0'
input = xmin
[]
[ymin]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymin
normal = '0 -1 0'
input = xmax
[]
[ymax]
type = SideSetsAroundSubdomainGenerator
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
new_boundary = ymax
normal = '0 1 0'
input = ymin
[]
[zmax]
type = SideSetsAroundSubdomainGenerator
block = 16
new_boundary = zmax
normal = '0 0 1'
input = ymax
[]
[zmin]
type = SideSetsAroundSubdomainGenerator
block = 2
new_boundary = zmin
normal = '0 0 -1'
input = zmax
[]
[excav]
type = SubdomainBoundingBoxGenerator
input = zmin
block_id = 1
bottom_left = '0 0 -400'
top_right = '150 1000 -397'
[]
[roof]
type = SideSetsBetweenSubdomainsGenerator
primary_block = 3
paired_block = 1
input = excav
new_boundary = roof
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[wc_x]
[]
[wc_y]
[]
[porepressure]
scaling = 1E-5
[]
[]
[ICs]
[porepressure]
type = FunctionIC
variable = porepressure
function = ini_pp
[]
[]
[Kernels]
[cx_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[cy_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[cz_elastic]
type = CosseratStressDivergenceTensors
use_displaced_mesh = false
variable = disp_z
component = 2
[]
[x_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_x
displacements = 'wc_x wc_y wc_z'
component = 0
base_name = couple
[]
[y_couple]
type = StressDivergenceTensors
use_displaced_mesh = false
variable = wc_y
displacements = 'wc_x wc_y wc_z'
component = 1
base_name = couple
[]
[x_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_x
component = 0
[]
[y_moment]
type = MomentBalancing
use_displaced_mesh = false
variable = wc_y
component = 1
[]
[gravity]
type = Gravity
use_displaced_mesh = false
variable = disp_z
value = -10E-6 # remember this is in MPa
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
use_displaced_mesh = false
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
use_displaced_mesh = false
variable = porepressure
gravity = '0 0 -10E-6'
fluid_component = 0
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = porepressure
fluid_component = 0
[]
[]
[AuxVariables]
[saturation]
order = CONSTANT
family = MONOMIAL
[]
[darcy_x]
order = CONSTANT
family = MONOMIAL
[]
[darcy_y]
order = CONSTANT
family = MONOMIAL
[]
[darcy_z]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[wc_z]
[]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yx]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zx]
order = CONSTANT
family = MONOMIAL
[]
[stress_zy]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_xz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_yz]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zx]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zy]
order = CONSTANT
family = MONOMIAL
[]
[total_strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[perm_xx]
order = CONSTANT
family = MONOMIAL
[]
[perm_yy]
order = CONSTANT
family = MONOMIAL
[]
[perm_zz]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile]
order = CONSTANT
family = MONOMIAL
[]
[wp_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[wp_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_shear_f]
order = CONSTANT
family = MONOMIAL
[]
[mc_tensile_f]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[saturation_water]
type = PorousFlowPropertyAux
variable = saturation
property = saturation
phase = 0
execute_on = timestep_end
[]
[darcy_x]
type = PorousFlowDarcyVelocityComponent
variable = darcy_x
gravity = '0 0 -10E-6'
component = x
[]
[darcy_y]
type = PorousFlowDarcyVelocityComponent
variable = darcy_y
gravity = '0 0 -10E-6'
component = y
[]
[darcy_z]
type = PorousFlowDarcyVelocityComponent
variable = darcy_z
gravity = '0 0 -10E-6'
component = z
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
execute_on = timestep_end
[]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[stress_yx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[stress_zx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[stress_zy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[total_strain_xx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xx
index_i = 0
index_j = 0
execute_on = timestep_end
[]
[total_strain_xy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xy
index_i = 0
index_j = 1
execute_on = timestep_end
[]
[total_strain_xz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_xz
index_i = 0
index_j = 2
execute_on = timestep_end
[]
[total_strain_yx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yx
index_i = 1
index_j = 0
execute_on = timestep_end
[]
[total_strain_yy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yy
index_i = 1
index_j = 1
execute_on = timestep_end
[]
[total_strain_yz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_yz
index_i = 1
index_j = 2
execute_on = timestep_end
[]
[total_strain_zx]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zx
index_i = 2
index_j = 0
execute_on = timestep_end
[]
[total_strain_zy]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zy
index_i = 2
index_j = 1
execute_on = timestep_end
[]
[total_strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = total_strain_zz
index_i = 2
index_j = 2
execute_on = timestep_end
[]
[perm_xx]
type = PorousFlowPropertyAux
property = permeability
variable = perm_xx
row = 0
column = 0
execute_on = timestep_end
[]
[perm_yy]
type = PorousFlowPropertyAux
property = permeability
variable = perm_yy
row = 1
column = 1
execute_on = timestep_end
[]
[perm_zz]
type = PorousFlowPropertyAux
property = permeability
variable = perm_zz
row = 2
column = 2
execute_on = timestep_end
[]
[mc_shear]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_internal_parameter
variable = mc_shear
execute_on = timestep_end
[]
[mc_tensile]
type = MaterialStdVectorAux
index = 1
property = mc_plastic_internal_parameter
variable = mc_tensile
execute_on = timestep_end
[]
[wp_shear]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_internal_parameter
variable = wp_shear
execute_on = timestep_end
[]
[wp_tensile]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_internal_parameter
variable = wp_tensile
execute_on = timestep_end
[]
[mc_shear_f]
type = MaterialStdVectorAux
index = 6
property = mc_plastic_yield_function
variable = mc_shear_f
execute_on = timestep_end
[]
[mc_tensile_f]
type = MaterialStdVectorAux
index = 0
property = mc_plastic_yield_function
variable = mc_tensile_f
execute_on = timestep_end
[]
[wp_shear_f]
type = MaterialStdVectorAux
index = 0
property = wp_plastic_yield_function
variable = wp_shear_f
execute_on = timestep_end
[]
[wp_tensile_f]
type = MaterialStdVectorAux
index = 1
property = wp_plastic_yield_function
variable = wp_tensile_f
execute_on = timestep_end
[]
[]
[BCs]
[no_x]
type = DirichletBC
variable = disp_x
boundary = 'xmin xmax'
value = 0.0
[]
[no_y]
type = DirichletBC
variable = disp_y
boundary = 'ymin ymax'
value = 0.0
[]
[no_z]
type = DirichletBC
variable = disp_z
boundary = zmin
value = 0.0
[]
[no_wc_x]
type = DirichletBC
variable = wc_x
boundary = 'ymin ymax'
value = 0.0
[]
[no_wc_y]
type = DirichletBC
variable = wc_y
boundary = 'xmin xmax'
value = 0.0
[]
[fix_porepressure]
type = FunctionDirichletBC
variable = porepressure
boundary = 'ymin ymax xmax'
function = ini_pp
[]
[roof_porepressure]
type = PorousFlowPiecewiseLinearSink
variable = porepressure
pt_vals = '-1E3 1E3'
multipliers = '-1 1'
fluid_phase = 0
flux_function = roof_conductance
boundary = roof
[]
[roof_bcs]
type = StickyBC
variable = disp_z
min_value = -3.0
boundary = roof
[]
[]
[Functions]
[ini_pp]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0'
symbol_values = '2E3 0.0 1E-5 1E3'
expression = '-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)'
[]
[ini_xx]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '0.8*(2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk)))'
[]
[ini_zz]
type = ParsedFunction
symbol_names = 'bulk p0 g rho0 biot'
symbol_values = '2E3 0.0 1E-5 1E3 0.7'
expression = '2500*10E-6*z+biot*(-bulk*log(exp(-p0/bulk)+g*rho0*z/bulk))'
[]
[excav_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval slope'
symbol_values = '0.5 0 1000.0 1E-9 1 60'
# excavation face at ymin+(ymax-ymin)*min(t/end_t,1)
# slope is the distance over which the modulus reduces from maxval to minval
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,if(y<ymin+(ymax-ymin)*min(t/end_t,1)+slope,minval+(maxval-minval)*(y-(ymin+(ymax-ymin)*min(t/end_t,1)))/slope,maxval))'
[]
[density_sideways]
type = ParsedFunction
symbol_names = 'end_t ymin ymax minval maxval'
symbol_values = '0.5 0 1000.0 0 2500'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),minval,maxval)'
[]
[roof_conductance]
type = ParsedFunction
symbol_names = 'end_t ymin ymax maxval minval'
symbol_values = '0.5 0 1000.0 1E7 0'
expression = 'if(y<ymin+(ymax-ymin)*min(t/end_t,1),maxval,minval)'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1 # MPa^-1
[]
[mc_coh_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.99 # MPa
value_residual = 2.01 # MPa
rate = 1.0
[]
[mc_fric]
type = TensorMechanicsHardeningConstant
value = 0.61 # 35deg
[]
[mc_dil]
type = TensorMechanicsHardeningConstant
value = 0.15 # 8deg
[]
[mc_tensile_str_strong_harden]
type = TensorMechanicsHardeningExponential
value_0 = 1.0 # MPa
value_residual = 1.0 # MPa
rate = 1.0
[]
[mc_compressive_str]
type = TensorMechanicsHardeningCubic
value_0 = 100 # Large!
value_residual = 100
internal_limit = 0.1
[]
[wp_coh_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_tan_fric]
type = TensorMechanicsHardeningConstant
value = 0.26 # 15deg
[]
[wp_tan_dil]
type = TensorMechanicsHardeningConstant
value = 0.18 # 10deg
[]
[wp_tensile_str_harden]
type = TensorMechanicsHardeningCubic
value_0 = 0.05
value_residual = 0.05
internal_limit = 10
[]
[wp_compressive_str_soften]
type = TensorMechanicsHardeningCubic
value_0 = 100
value_residual = 1
internal_limit = 1.0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 2E3
density0 = 1000
thermal_expansion = 0
viscosity = 3.5E-17
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity_bulk]
type = PorousFlowPorosity
fluid = true
mechanical = true
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
ensure_positive = true
porosity_zero = 0.02
solid_bulk = 5.3333E3
[]
[porosity_excav]
type = PorousFlowPorosityConst
block = 1
porosity = 1.0
[]
[permeability_bulk]
type = PorousFlowPermeabilityKozenyCarman
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
poroperm_function = kozeny_carman_phi0
k0 = 1E-15
phi0 = 0.02
n = 2
m = 2
[]
[permeability_excav]
type = PorousFlowPermeabilityConst
block = 1
permeability = '0 0 0 0 0 0 0 0 0'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 4
s_res = 0.4
sum_s_res = 0.4
phase = 0
[]
[elasticity_tensor_0]
type = ComputeLayeredCosseratElasticityTensor
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
[]
[elasticity_tensor_1]
type = ComputeLayeredCosseratElasticityTensor
block = 1
young = 8E3 # MPa
poisson = 0.25
layer_thickness = 1.0
joint_normal_stiffness = 1E9 # huge
joint_shear_stiffness = 1E3 # MPa
elasticity_tensor_prefactor = excav_sideways
[]
[strain]
type = ComputeCosseratIncrementalSmallStrain
eigenstrain_names = ini_stress
[]
[ini_stress]
type = ComputeEigenstrainFromInitialStress
eigenstrain_name = ini_stress
initial_stress = 'ini_xx 0 0 0 ini_xx 0 0 0 ini_zz'
[]
[stress_0]
type = ComputeMultipleInelasticCosseratStress
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
inelastic_models = 'mc wp'
cycle_models = true
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[stress_1]
type = ComputeMultipleInelasticCosseratStress
block = 1
inelastic_models = ''
relative_tolerance = 2.0
absolute_tolerance = 1E6
max_iterations = 1
tangent_operator = nonlinear
perform_finite_strain_rotations = false
[]
[mc]
type = CappedMohrCoulombCosseratStressUpdate
warn_about_precision_loss = false
host_youngs_modulus = 8E3
host_poissons_ratio = 0.25
base_name = mc
tensile_strength = mc_tensile_str_strong_harden
compressive_strength = mc_compressive_str
cohesion = mc_coh_strong_harden
friction_angle = mc_fric
dilation_angle = mc_dil
max_NR_iterations = 100000
smoothing_tol = 0.1 # MPa # Must be linked to cohesion
yield_function_tol = 1E-9 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0
[]
[wp]
type = CappedWeakPlaneCosseratStressUpdate
warn_about_precision_loss = false
base_name = wp
cohesion = wp_coh_harden
tan_friction_angle = wp_tan_fric
tan_dilation_angle = wp_tan_dil
tensile_strength = wp_tensile_str_harden
compressive_strength = wp_compressive_str_soften
max_NR_iterations = 10000
tip_smoother = 0.05
smoothing_tol = 0.05 # MPa # Note, this must be tied to cohesion, otherwise get no possible return at cone apex
yield_function_tol = 1E-11 # MPa. this is essentially the lowest possible without lots of precision loss
perfect_guess = true
min_step_size = 1.0E-3
[]
[undrained_density_0]
type = GenericConstantMaterial
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
prop_names = density
prop_values = 2500
[]
[undrained_density_1]
type = GenericFunctionMaterial
block = 1
prop_names = density
prop_values = density_sideways
[]
[]
[Preconditioning]
[SMP]
type = SMP
full = true
[]
[]
[Postprocessors]
[min_roof_disp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = disp_z
[]
[min_roof_pp]
type = NodalExtremeValue
boundary = roof
value_type = min
variable = porepressure
[]
[min_surface_disp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = disp_z
[]
[min_surface_pp]
type = NodalExtremeValue
boundary = zmax
value_type = min
variable = porepressure
[]
[max_perm_zz]
type = ElementExtremeValue
block = '2 3 4 5 6 7 8 9 10 11 12 13 14 15 16'
variable = perm_zz
[]
[]
[Executioner]
type = Transient
solve_type = 'NEWTON'
petsc_options = '-snes_converged_reason'
# best overall
# petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
# petsc_options_value = ' lu mumps'
# best if you do not have mumps:
petsc_options_iname = '-pc_type -pc_factor_mat_solver_package'
petsc_options_value = ' lu superlu_dist'
# best if you do not have mumps or superlu_dist:
#petsc_options_iname = '-pc_type -pc_asm_overlap -sub_pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' asm 2 lu gmres 200'
# very basic:
#petsc_options_iname = '-pc_type -ksp_type -ksp_gmres_restart'
#petsc_options_value = ' bjacobi gmres 200'
line_search = bt
nl_abs_tol = 1e-3
nl_rel_tol = 1e-5
l_max_its = 200
nl_max_its = 30
start_time = 0.0
dt = 0.014706
end_time = 0.014706 #0.5
[]
[Outputs]
time_step_interval = 1
print_linear_residuals = true
exodus = true
csv = true
console = true
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_fully_saturated_volume.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie m^3/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source has units 1/s. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In standard porous_flow, everything is based on mass, eg the source has
# units kg/s/m^3. This is discussed in the other pp_generation_unconfined
# models. In this test, we use the FullySaturated Kernel and set
# multiply_by_density = false
# meaning the fluid Kernel has units of volume, and the source, s, has units 1/time
#
# The ratios are:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
variable = porepressure
multiply_by_density = false
coupling_type = HydroMechanical
biot_coefficient = 0.3
[]
[source]
type = BodyForce
function = 0.1
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature_qp]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # the "const" is irrelevant here: all that uses Porosity is the BiotModulus, which just uses the initial value of porosity
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.3
fluid_bulk_modulus = 3.3333333333
solid_bulk_compliance = 0.5
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[stress_xx_over_strain]
type = FunctionValuePostprocessor
function = stress_xx_over_strain_fcn
outputs = csv
[]
[stress_zz_over_strain]
type = FunctionValuePostprocessor
function = stress_zz_over_strain_fcn
outputs = csv
[]
[p_over_strain]
type = FunctionValuePostprocessor
function = p_over_strain_fcn
outputs = csv
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_fully_saturated_volume
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/energy_conservation/heat04.i)
# The sample is a single unit element, with fixed displacements on
# all sides. A heat source of strength S (J/m^3/s) is applied into
# the element. There is no fluid flow or heat flow. The rise
# in temperature, porepressure and stress, and the change in porosity is
# matched with theory.
#
# In this case, fluid mass must be conserved, and there is no
# volumetric strain, so
# porosity * fluid_density = constant
# Also, the energy-density in the rock-fluid system increases with S:
# d/dt [(1 - porosity) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T] = S
# Also, the porosity evolves according to THM as
# porosity = biot + (porosity0 - biot) * exp( (biot - 1) * P / fluid_bulk + rock_thermal_exp * T)
# Finally, the effective stress must be exactly zero (as there is
# no strain).
#
# Let us assume that
# fluid_density = dens0 * exp(P / fluid_bulk - fluid_thermal_exp * T)
# Then the conservation of fluid mass means
# porosity = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T)
# where dens0 * por0 = the initial fluid mass.
# The last expression for porosity, combined with the THM one,
# and assuming that biot = 1 for simplicity, gives
# porosity = 1 + (porosity0 - 1) * exp(rock_thermal_exp * T) = por0 * exp(- P / fluid_bulk + fluid_thermal_exp * T) .... (A)
#
# This stuff may be substituted into the heat energy-density equation:
# S = d/dt [(1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T]
#
# If S is constant then
# S * t = (1 - porosity0) * exp(rock_thermal_exp * T) * rock_density * rock_heat_cap * T + porosity * fluid_density * fluid_heat_cap * T
# with T(t=0) = 0 then Eqn(A) implies that por0 = porosity0 and
# P / fluid_bulk = fluid_thermal_exp * T - log(1 + (por0 - 1) * exp(rock_thermal_exp * T)) + log(por0)
#
# Parameters:
# A = 2
# fluid_bulk = 2.0
# dens0 = 3.0
# fluid_thermal_exp = 0.5
# fluid_heat_cap = 2
# por0 = 0.5
# rock_thermal_exp = 0.25
# rock_density = 5
# rock_heat_capacity = 0.2
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[FluidProperties]
[the_simple_fluid]
type = SimpleFluidProperties
thermal_expansion = 0.5
cv = 2
cp = 2
bulk_modulus = 2.0
density0 = 3.0
[]
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[temp]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 1.0
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = pp
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[temp]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[poro_vol_exp_temp]
type = PorousFlowHeatVolumetricExpansion
variable = temp
[]
[heat_source]
type = BodyForce
function = 1
variable = temp
[]
[]
[Functions]
[err_T_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1'
expression = '((1-por0)*exp(rte*temp)*rd*rhc*temp+m0*fhc*temp-source*t)/(source*t)'
[]
[err_pp_fcn]
type = ParsedFunction
symbol_names = 'por0 rte temp rd rhc m0 fhc source bulk pp fte'
symbol_values = '0.5 0.25 t0 5 0.2 1.5 2 1 2 p0 0.5'
expression = '(bulk*(fte*temp-log(1+(por0-1)*exp(rte*temp))+log(por0))-pp)/pp'
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[porosity]
type = PorousFlowPorosity
thermal = true
fluid = true
mechanical = true
ensure_positive = false
biot_coefficient = 1.0
porosity_zero = 0.5
thermal_expansion_coeff = 0.25
solid_bulk = 2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 0.2
density = 5.0
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
temperature_unit = Kelvin
fp = the_simple_fluid
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = pp
[]
[t0]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = temp
[]
[porosity]
type = PointValue
outputs = 'console csv'
execute_on = 'timestep_end'
point = '0 0 0'
variable = porosity
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[total_heat]
type = PorousFlowHeatEnergy
phase = 0
execute_on = 'timestep_end'
outputs = 'console csv'
[]
[err_T]
type = FunctionValuePostprocessor
function = err_T_fcn
[]
[err_P]
type = FunctionValuePostprocessor
function = err_pp_fcn
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-12 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 5
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = heat04
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/mass_conservation/mass04.i)
# The sample is a single unit element, with roller BCs on the sides
# and bottom. A constant displacement is applied to the top: disp_z = -0.01*t.
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# Under these conditions
# porepressure = porepressure(t=0) - (Fluid bulk modulus)*log(1 - 0.01*t)
# stress_xx = (bulk - 2*shear/3)*disp_z/L (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*disp_z/L (remember this is effective stress)
# where L is the height of the sample (L=1 in this test)
#
# Parameters:
# Bulk modulus = 2
# Shear modulus = 1.5
# fluid bulk modulus = 0.5
# initial porepressure = 0.1
#
# Desired output:
# zdisp = -0.01*t
# p0 = 0.1 - 0.5*log(1-0.01*t)
# stress_xx = stress_yy = -0.01*t
# stress_zz = -0.04*t
#
# Regarding the "log" - it comes from preserving fluid mass
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_z
function = -0.01*t
boundary = front
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
file_base = mass04
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/mass_vol_exp02.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/examples/thm_example/2D.i)
# Two phase, temperature-dependent, with mechanics, radial with fine mesh, constant injection of cold co2 into a overburden-reservoir-underburden containing mostly water
# species=0 is water
# species=1 is co2
# phase=0 is liquid, and since massfrac_ph0_sp0 = 1, this is all water
# phase=1 is gas, and since massfrac_ph1_sp0 = 0, this is all co2
#
# The mesh used below has very high resolution, so the simulation takes a long time to complete.
# Some suggested meshes of different resolution:
# nx=50, bias_x=1.2
# nx=100, bias_x=1.1
# nx=200, bias_x=1.05
# nx=400, bias_x=1.02
# nx=1000, bias_x=1.01
# nx=2000, bias_x=1.003
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2000
bias_x = 1.003
xmin = 0.1
xmax = 5000
ny = 1
ymin = 0
ymax = 11
[]
[Problem]
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
gravity = '0 0 0'
biot_coefficient = 1.0
[]
[Variables]
[pwater]
initial_condition = 18.3e6
[]
[sgas]
initial_condition = 0.0
[]
[temp]
initial_condition = 358
[]
[disp_r]
[]
[]
[AuxVariables]
[rate]
[]
[disp_z]
[]
[massfrac_ph0_sp0]
initial_condition = 1 # all H20 in phase=0
[]
[massfrac_ph1_sp0]
initial_condition = 0 # no H2O in phase=1
[]
[pgas]
family = MONOMIAL
order = FIRST
[]
[swater]
family = MONOMIAL
order = FIRST
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = sgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = sgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = temp
[]
[conduction]
type = PorousFlowExponentialDecay
use_displaced_mesh = false
variable = temp
reference = 358
rate = rate
[]
[grad_stress_r]
type = StressDivergenceRZTensors
temperature = temp
eigenstrain_names = thermal_contribution
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[]
[AuxKernels]
[rate]
type = FunctionAux
variable = rate
execute_on = timestep_begin
function = decay_rate
[]
[pgas]
type = PorousFlowPropertyAux
property = pressure
phase = 1
variable = pgas
[]
[swater]
type = PorousFlowPropertyAux
property = saturation
phase = 0
variable = swater
[]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[]
[Functions]
[decay_rate]
# Eqn(26) of the first paper of LaForce et al.
# Ka * (rho C)_a = 10056886.914
# h = 11
type = ParsedFunction
expression = 'sqrt(10056886.914/t)/11.0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pwater sgas disp_r'
number_fluid_phases = 2
number_fluid_components = 2
[]
[pc]
type = PorousFlowCapillaryPressureConst
pc = 0
[]
[]
[FluidProperties]
[water]
type = SimpleFluidProperties
bulk_modulus = 2.27e14
density0 = 970.0
viscosity = 0.3394e-3
cv = 4149.0
cp = 4149.0
porepressure_coefficient = 0.0
thermal_expansion = 0
[]
[co2]
type = SimpleFluidProperties
bulk_modulus = 2.27e14
density0 = 516.48
viscosity = 0.0393e-3
cv = 2920.5
cp = 2920.5
porepressure_coefficient = 0.0
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow2PhasePS
phase0_porepressure = pwater
phase1_saturation = sgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = water
phase = 0
[]
[gas]
type = PorousFlowSingleComponentFluid
fp = co2
phase = 1
[]
[porosity_reservoir]
type = PorousFlowPorosityConst
porosity = 0.2
[]
[permeability_reservoir]
type = PorousFlowPermeabilityConst
permeability = '2e-12 0 0 0 0 0 0 0 0'
[]
[relperm_liquid]
type = PorousFlowRelativePermeabilityCorey
n = 4
phase = 0
s_res = 0.200
sum_s_res = 0.405
[]
[relperm_gas]
type = PorousFlowRelativePermeabilityBC
phase = 1
s_res = 0.205
sum_s_res = 0.405
nw_phase = true
lambda = 2
[]
[thermal_conductivity_reservoir]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '0 0 0 0 1.320 0 0 0 0'
wet_thermal_conductivity = '0 0 0 0 3.083 0 0 0 0'
[]
[internal_energy_reservoir]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2350.0
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
shear_modulus = 6.0E9
poissons_ratio = 0.2
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
eigenstrain_names = 'thermal_contribution ini_stress'
[]
[ini_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-12.8E6 0 0 0 -51.3E6 0 0 0 -12.8E6'
eigenstrain_name = ini_stress
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = temp
stress_free_temperature = 358
thermal_expansion_coeff = 5E-6
eigenstrain_name = thermal_contribution
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[]
[BCs]
[outer_pressure_fixed]
type = DirichletBC
boundary = right
value = 18.3e6
variable = pwater
[]
[outer_saturation_fixed]
type = DirichletBC
boundary = right
value = 0.0
variable = sgas
[]
[outer_temp_fixed]
type = DirichletBC
boundary = right
value = 358
variable = temp
[]
[fixed_outer_r]
type = DirichletBC
variable = disp_r
value = 0
boundary = right
[]
[co2_injection]
type = PorousFlowSink
boundary = left
variable = sgas
use_mobility = false
use_relperm = false
fluid_phase = 1
flux_function = 'min(t/100.0,1)*(-2.294001475)' # 5.0E5 T/year = 15.855 kg/s, over area of 2Pi*0.1*11
[]
[cold_co2]
type = DirichletBC
boundary = left
variable = temp
value = 294
[]
[cavity_pressure_x]
type = Pressure
boundary = left
variable = disp_r
component = 0
postprocessor = p_bh # note, this lags
use_displaced_mesh = false
[]
[]
[Postprocessors]
[p_bh]
type = PointValue
variable = pwater
point = '0.1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[]
[VectorPostprocessors]
[ptsuss]
type = LineValueSampler
use_displaced_mesh = false
start_point = '0.1 0 0'
end_point = '5000 0 0'
sort_by = x
num_points = 50000
outputs = csv
variable = 'pwater temp sgas disp_r stress_rr stress_tt'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
#petsc_options = '-snes_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix -ksp_gmres_modifiedgramschmidt -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu NONZERO 2 1E2 1E-5 500'
[]
[mumps]
type = SMP
full = true
petsc_options = '-snes_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix -ksp_gmres_modifiedgramschmidt -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -snes_rtol -snes_atol -snes_max_it'
petsc_options_value = 'gmres lu mumps NONZERO 1E-5 1E2 50'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
end_time = 1.5768e8
#dtmax = 1e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
growth_factor = 1.1
[]
[]
[Outputs]
print_linear_residuals = false
sync_times = '3600 86400 2.592E6 1.5768E8'
perf_graph = true
exodus = true
[csv]
type = CSV
sync_only = true
[]
[]
(modules/porous_flow/test/tests/jacobian/fflux08.i)
# 1phase, 1component, constant viscosity, Kozeny-Carman permeability
# density with constant bulk, Corey relative perm, nonzero gravity, unsaturated with vanGenuchten
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[flux0]
type = PorousFlowAdvectiveFlux
fluid_component = 0
variable = pp
gravity = '-1 -0.1 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[permeability]
type = PorousFlowPermeabilityKozenyCarman
poroperm_function = kozeny_carman_phi0
k_anisotropy = '1 0 0 0 2 0 0 0 3'
phi0 = 0.1
n = 1.0
m = 2.0
k0 = 2
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 2
phase = 0
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/examples/thm_example/2D_c.i)
# Two phase, temperature-dependent, with mechanics and chemistry, radial with fine mesh, constant injection of cold co2 into a overburden-reservoir-underburden containing mostly water
# species=0 is water
# species=1 is co2
# phase=0 is liquid, and since massfrac_ph0_sp0 = 1, this is all water
# phase=1 is gas, and since massfrac_ph1_sp0 = 0, this is all co2
#
# The mesh used below has very high resolution, so the simulation takes a long time to complete.
# Some suggested meshes of different resolution:
# nx=50, bias_x=1.2
# nx=100, bias_x=1.1
# nx=200, bias_x=1.05
# nx=400, bias_x=1.02
# nx=1000, bias_x=1.01
# nx=2000, bias_x=1.003
[Mesh]
type = GeneratedMesh
dim = 2
nx = 2000
bias_x = 1.003
xmin = 0.1
xmax = 5000
ny = 1
ymin = 0
ymax = 11
[]
[Problem]
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
gravity = '0 0 0'
biot_coefficient = 1.0
[]
[Variables]
[pwater]
initial_condition = 18.3e6
[]
[sgas]
initial_condition = 0.0
[]
[temp]
initial_condition = 358
[]
[disp_r]
[]
[]
[AuxVariables]
[rate]
[]
[disp_z]
[]
[massfrac_ph0_sp0]
initial_condition = 1 # all H20 in phase=0
[]
[massfrac_ph1_sp0]
initial_condition = 0 # no H2O in phase=1
[]
[pgas]
family = MONOMIAL
order = FIRST
[]
[swater]
family = MONOMIAL
order = FIRST
[]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[mineral_conc_m3_per_m3]
family = MONOMIAL
order = CONSTANT
initial_condition = 0.1
[]
[eqm_const]
initial_condition = 0.0
[]
[porosity]
family = MONOMIAL
order = CONSTANT
[]
[]
[Kernels]
[mass_water_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pwater
[]
[flux_water]
type = PorousFlowAdvectiveFlux
fluid_component = 0
use_displaced_mesh = false
variable = pwater
[]
[mass_co2_dot]
type = PorousFlowMassTimeDerivative
fluid_component = 1
variable = sgas
[]
[flux_co2]
type = PorousFlowAdvectiveFlux
fluid_component = 1
use_displaced_mesh = false
variable = sgas
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[advection]
type = PorousFlowHeatAdvection
use_displaced_mesh = false
variable = temp
[]
[conduction]
type = PorousFlowExponentialDecay
use_displaced_mesh = false
variable = temp
reference = 358
rate = rate
[]
[grad_stress_r]
type = StressDivergenceRZTensors
temperature = temp
eigenstrain_names = thermal_contribution
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
use_displaced_mesh = false
component = 0
[]
[]
[AuxKernels]
[rate]
type = FunctionAux
variable = rate
execute_on = timestep_begin
function = decay_rate
[]
[pgas]
type = PorousFlowPropertyAux
property = pressure
phase = 1
variable = pgas
[]
[swater]
type = PorousFlowPropertyAux
property = saturation
phase = 0
variable = swater
[]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[mineral]
type = PorousFlowPropertyAux
property = mineral_concentration
mineral_species = 0
variable = mineral_conc_m3_per_m3
[]
[eqm_const_auxk]
type = ParsedAux
variable = eqm_const
coupled_variables = temp
expression = '(358 - temp) / (358 - 294)'
[]
[porosity_auxk]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Functions]
[decay_rate]
# Eqn(26) of the first paper of LaForce et al.
# Ka * (rho C)_a = 10056886.914
# h = 11
type = ParsedFunction
expression = 'sqrt(10056886.914/t)/11.0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'temp pwater sgas disp_r'
number_fluid_phases = 2
number_fluid_components = 2
number_aqueous_kinetic = 1
aqueous_phase_number = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
pc = 0
[]
[]
[FluidProperties]
[water]
type = SimpleFluidProperties
bulk_modulus = 2.27e14
density0 = 970.0
viscosity = 0.3394e-3
cv = 4149.0
cp = 4149.0
porepressure_coefficient = 0.0
thermal_expansion = 0
[]
[co2]
type = SimpleFluidProperties
bulk_modulus = 2.27e14
density0 = 516.48
viscosity = 0.0393e-3
cv = 2920.5
cp = 2920.5
porepressure_coefficient = 0.0
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[ppss]
type = PorousFlow2PhasePS
phase0_porepressure = pwater
phase1_saturation = sgas
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
mass_fraction_vars = 'massfrac_ph0_sp0 massfrac_ph1_sp0'
[]
[water]
type = PorousFlowSingleComponentFluid
fp = water
phase = 0
[]
[gas]
type = PorousFlowSingleComponentFluid
fp = co2
phase = 1
[]
[porosity_reservoir]
type = PorousFlowPorosity
porosity_zero = 0.2
chemical = true
reference_chemistry = 0.1
initial_mineral_concentrations = 0.1
[]
[permeability_reservoir]
type = PorousFlowPermeabilityConst
permeability = '2e-12 0 0 0 0 0 0 0 0'
[]
[relperm_liquid]
type = PorousFlowRelativePermeabilityCorey
n = 4
phase = 0
s_res = 0.200
sum_s_res = 0.405
[]
[relperm_gas]
type = PorousFlowRelativePermeabilityBC
phase = 1
s_res = 0.205
sum_s_res = 0.405
nw_phase = true
lambda = 2
[]
[thermal_conductivity_reservoir]
type = PorousFlowThermalConductivityIdeal
dry_thermal_conductivity = '0 0 0 0 1.320 0 0 0 0'
wet_thermal_conductivity = '0 0 0 0 3.083 0 0 0 0'
[]
[internal_energy_reservoir]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1100
density = 2350.0
[]
[elasticity_tensor]
type = ComputeIsotropicElasticityTensor
shear_modulus = 6.0E9
poissons_ratio = 0.2
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
eigenstrain_names = 'thermal_contribution ini_stress'
[]
[ini_strain]
type = ComputeEigenstrainFromInitialStress
initial_stress = '-12.8E6 0 0 0 -51.3E6 0 0 0 -12.8E6'
eigenstrain_name = ini_stress
[]
[thermal_contribution]
type = ComputeThermalExpansionEigenstrain
temperature = temp
stress_free_temperature = 358
thermal_expansion_coeff = 5E-6
eigenstrain_name = thermal_contribution
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[predis]
type = PorousFlowAqueousPreDisChemistry
num_reactions = 1
primary_concentrations = 1.0 # fixed activity
equilibrium_constants_as_log10 = true
equilibrium_constants = eqm_const
primary_activity_coefficients = 1.0 # fixed activity
reactions = 1
kinetic_rate_constant = 1E-6
molar_volume = 1.0
specific_reactive_surface_area = 1.0
activation_energy = 0.0 # no Arrhenius
[]
[mineral_conc]
type = PorousFlowAqueousPreDisMineral
initial_concentrations = 0.1
[]
[predis_nodes]
type = PorousFlowAqueousPreDisChemistry
at_nodes = true
num_reactions = 1
primary_concentrations = 1.0 # fixed activity
equilibrium_constants_as_log10 = true
equilibrium_constants = eqm_const
primary_activity_coefficients = 1.0 # fixed activity
reactions = 1
kinetic_rate_constant = 1E-6
molar_volume = 1.0
specific_reactive_surface_area = 1.0
activation_energy = 0.0 # no Arrhenius
[]
[mineral_conc_nodes]
type = PorousFlowAqueousPreDisMineral
at_nodes = true
initial_concentrations = 0.1
[]
[]
[BCs]
[outer_pressure_fixed]
type = DirichletBC
boundary = right
value = 18.3e6
variable = pwater
[]
[outer_saturation_fixed]
type = DirichletBC
boundary = right
value = 0.0
variable = sgas
[]
[outer_temp_fixed]
type = DirichletBC
boundary = right
value = 358
variable = temp
[]
[fixed_outer_r]
type = DirichletBC
variable = disp_r
value = 0
boundary = right
[]
[co2_injection]
type = PorousFlowSink
boundary = left
variable = sgas
use_mobility = false
use_relperm = false
fluid_phase = 1
flux_function = 'min(t/100.0,1)*(-2.294001475)' # 5.0E5 T/year = 15.855 kg/s, over area of 2Pi*0.1*11
[]
[cold_co2]
type = DirichletBC
boundary = left
variable = temp
value = 294
[]
[cavity_pressure_x]
type = Pressure
boundary = left
variable = disp_r
component = 0
postprocessor = p_bh # note, this lags
use_displaced_mesh = false
[]
[]
[Postprocessors]
[p_bh]
type = PointValue
variable = pwater
point = '0.1 0 0'
execute_on = timestep_begin
use_displaced_mesh = false
[]
[mineral_bh] # mineral concentration (m^3(mineral)/m^3(rock)) at the borehole
type = PointValue
variable = mineral_conc_m3_per_m3
point = '0.1 0 0'
use_displaced_mesh = false
[]
[]
[VectorPostprocessors]
[ptsuss]
type = LineValueSampler
use_displaced_mesh = false
start_point = '0.1 0 0'
end_point = '5000 0 0'
sort_by = x
num_points = 50000
outputs = csv
variable = 'pwater temp sgas disp_r stress_rr stress_tt mineral_conc_m3_per_m3 porosity'
[]
[]
[Preconditioning]
active = 'smp'
[smp]
type = SMP
full = true
#petsc_options = '-snes_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix -ksp_gmres_modifiedgramschmidt -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -sub_pc_factor_shift_type -pc_asm_overlap -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu NONZERO 2 1E2 1E-5 50'
[]
[mumps]
type = SMP
full = true
petsc_options = '-snes_converged_reason -ksp_diagonal_scale -ksp_diagonal_scale_fix -ksp_gmres_modifiedgramschmidt -snes_linesearch_monitor'
petsc_options_iname = '-ksp_type -pc_type -pc_factor_mat_solver_package -pc_factor_shift_type -snes_rtol -snes_atol -snes_max_it'
petsc_options_value = 'gmres lu mumps NONZERO 1E-5 1E2 50'
[]
[]
[Executioner]
type = Transient
solve_type = NEWTON
end_time = 1.5768e8
#dtmax = 1e6
[TimeStepper]
type = IterationAdaptiveDT
dt = 1
growth_factor = 1.1
[]
[]
[Outputs]
print_linear_residuals = false
sync_times = '3600 86400 2.592E6 1.5768E8'
perf_graph = true
exodus = true
[csv]
type = CSV
sync_only = true
[]
[]
(modules/porous_flow/test/tests/jacobian/heat_vol_exp01.i)
# Tests the PorousFlowHeatVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, THM porosity
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[temperature]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 0
variable = porepressure
[]
[t]
type = RandomIC
min = 1
max = 2
variable = temperature
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[dummy]
type = TimeDerivative
variable = porepressure
[]
[temp]
type = PorousFlowHeatVolumetricExpansion
variable = temperature
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[]
[Materials]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss_nodal]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
thermal = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
thermal_expansion_coeff = 0.1
reference_temperature = 0.1
reference_porepressure = 0.2
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/pp_generation_unconfined_constM.i)
# A sample is constrained on all sides, except its top
# and its boundaries are
# also impermeable. Fluid is pumped into the sample via a
# volumetric source (ie kg/second per cubic meter), and the
# rise in the top surface, porepressure, and stress are observed.
#
# In the standard poromechanics scenario, the Biot Modulus is held
# fixed and the source, s, has units m^3/second/m^3. Then the expected result
# is
# strain_zz = disp_z = BiotCoefficient*BiotModulus*s*t/((bulk + 4*shear/3) + BiotCoefficient^2*BiotModulus)
# porepressure = BiotModulus*(s*t - BiotCoefficient*strain_zz)
# stress_xx = (bulk - 2*shear/3)*strain_zz (remember this is effective stress)
# stress_zz = (bulk + 4*shear/3)*strain_zz (remember this is effective stress)
#
# In porous_flow, however, the source has units kg/second/m^3. The ratios remain
# fixed:
# stress_xx/strain_zz = (bulk - 2*shear/3) = 1 (for the parameters used here)
# stress_zz/strain_zz = (bulk + 4*shear/3) = 4 (for the parameters used here)
# porepressure/strain_zz = 13.3333333 (for the parameters used here)
#
# Expect
# disp_z = 0.3*10*s*t/((2 + 4*1.5/3) + 0.3^2*10) = 0.612245*s*t
# porepressure = 10*(s*t - 0.3*0.612245*s*t) = 8.163265*s*t
# stress_xx = (2 - 2*1.5/3)*0.612245*s*t = 0.612245*s*t
# stress_zz = (2 + 4*shear/3)*0.612245*s*t = 2.44898*s*t
# The relationship between the constant poroelastic source
# s (m^3/second/m^3) and the PorousFlow source, S (kg/second/m^3) is
# S = fluid_density * s = s * exp(porepressure/fluid_bulk)
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[confinez]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[source]
type = BodyForce
function = '0.1*exp(8.163265306*0.1*t/3.3333333333)'
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 3.3333333333
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
displacements = 'disp_x disp_y disp_z'
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.3
solid_bulk = 2
constant_fluid_bulk_modulus = 3.3333333333
constant_biot_modulus = 10.0
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1 0 0 0 1 0 0 0 1' # unimportant
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[]
[Functions]
[stress_xx_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_xx zdisp'
[]
[stress_zz_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'stress_zz zdisp'
[]
[p_over_strain_fcn]
type = ParsedFunction
expression = a/b
symbol_names = 'a b'
symbol_values = 'p0 zdisp'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 1
[]
[Outputs]
execute_on = 'timestep_end'
file_base = pp_generation_unconfined_constM
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/mass10.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
strain_at_nearest_qp = true
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
strain_at_nearest_qp = true
[]
[nearest_qp]
type = PorousFlowNearestQp
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/mass_conservation/mass11.i)
# The sample is a single unit element, with roller BCs on the sides and bottom.
# The top is free to move and fluid is injected at a constant rate of 1kg/s
# There is no fluid flow.
# Fluid mass conservation is checked.
# Under these conditions the fluid mass should increase at 1kg/s
# The porepressure should increase: rho0 * exp(P/bulk) = rho * exp(P0/bulk) + 1*t
# The stress_zz should be exactly biot * P since total stress is zero
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -0.5
xmax = 0.5
ymin = -0.5
ymax = 0.5
zmin = -0.5
zmax = 0.5
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[confinex]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[confiney]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom top'
[]
[basefixed]
type = DirichletBC
variable = disp_z
value = 0
boundary = back
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.3
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[DiracKernels]
[inject]
type = PorousFlowPointSourceFromPostprocessor
point = '0 0 0'
mass_flux = 1.0
variable = porepressure
[]
[]
[AuxVariables]
[stress_xx]
order = CONSTANT
family = MONOMIAL
[]
[stress_xy]
order = CONSTANT
family = MONOMIAL
[]
[stress_xz]
order = CONSTANT
family = MONOMIAL
[]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[stress_yz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_xx]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xx
index_i = 0
index_j = 0
[]
[stress_xy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xy
index_i = 0
index_j = 1
[]
[stress_xz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_xz
index_i = 0
index_j = 2
[]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[stress_yz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yz
index_i = 1
index_j = 2
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 2
index_j = 2
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '0 0 0'
variable = porepressure
[]
[zdisp]
type = PointValue
outputs = csv
point = '0 0 0.5'
use_displaced_mesh = false
variable = disp_z
[]
[stress_xx]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_xx
[]
[stress_yy]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_yy
[]
[stress_zz]
type = PointValue
outputs = csv
point = '0 0 0'
variable = stress_zz
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poroperm/except2.i)
# Exception test: fluid=true but no solid_bulk is provided
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
biot_coefficient = 0.7
[]
[Variables]
[porepressure]
initial_condition = 2
[]
[temperature]
initial_condition = 4
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = FunctionIC
function = '0.5 * x'
variable = disp_x
[]
[]
[Kernels]
[dummy_p]
type = TimeDerivative
variable = porepressure
[]
[dummy_t]
type = TimeDerivative
variable = temperature
[]
[dummy_x]
type = TimeDerivative
variable = disp_x
[]
[dummy_y]
type = TimeDerivative
variable = disp_y
[]
[dummy_z]
type = TimeDerivative
variable = disp_z
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
variable = porosity
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[porosity]
type = PorousFlowPorosity
mechanical = true
fluid = true
thermal = true
ensure_positive = false
porosity_zero = 0.5
thermal_expansion_coeff = 0.5
reference_porepressure = 3
reference_temperature = 3.5
[]
[]
[Executioner]
solve_type = Newton
type = Transient
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/poroperm/poro_hm.i)
# Test that porosity is correctly calculated.
# Porosity = biot + (phi0 - biot) * exp(-vol_strain + (biot_prime - 1) / solid_bulk * (porepressure - ref_pressure))
# The parameters used are:
# biot = 0.7
# biot_prime = 0.75
# phi0 = 0.5
# vol_strain = 0.5
# solid_bulk = 0.3
# porepressure = 2
# ref_pressure = 3
# which yield porosity = 0.420877515
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
biot_coefficient = 0.7
[]
[Variables]
[porepressure]
initial_condition = 2
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = FunctionIC
function = '0.5 * x'
variable = disp_x
[]
[]
[Kernels]
[dummy_p]
type = TimeDerivative
variable = porepressure
[]
[dummy_x]
type = TimeDerivative
variable = disp_x
[]
[dummy_y]
type = TimeDerivative
variable = disp_y
[]
[dummy_z]
type = TimeDerivative
variable = disp_z
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
variable = porosity
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = 3
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[total_strain]
type = ComputeSmallStrain
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
ensure_positive = false
porosity_zero = 0.5
solid_bulk = 0.3
reference_porepressure = 3
biot_coefficient_prime = 0.75
[]
[]
[Executioner]
solve_type = Newton
type = Transient
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/mass_conservation/mass13.i)
# The sample is an annulus in RZ coordinates.
# Roller BCs are applied to the rmin, top and bottom boundaries
# A constant displacement is applied to the outer boundary: disp_r = -0.01 * t * (r - rmin)/(rmax - rmin).
# There is no fluid flow.
# Fluid mass conservation is checked.
#
# The flag volumetric_locking_correction = true is set for the strain calculator,
# which ensures that the volumetric strain is uniform throughout the element
#
# Theoretically,
# volumetric_strain = volume / volume0 - 1 = ((rmax - 0.01*t)^2 - rmin^2) / (rmax^2 - rmin^2) - 1
# However, with ComputeAxisymmetricRZSmallStrain, strain_rr = -0.01 * t / (rmax - rmin)
# and strain_tt = disp_r / r = -0.01 * t * (1 - rmin / r_qp) / (rmax - rmin), where r_qp is the radius of the quadpoint
# With volumetric_locking_correction = true, r_qp = (rmax - rmin) / 2.
# The volumetric strain is
# epv = -0.01 * t * (2 - rmin / r_qp) / (rmax - rmin)
# and volume = volume0 * (1 + epv)
#
# Fluid conservation reads
# volume0 * rho0 * exp(P0/bulk) = volume * rho0 * exp(P/bulk), so
# P - P0 = bulk * log(volume0 / volume) = 0.5 * log(1 / (1 + epv))
# With rmax = 2 and rmin = 1
# fluid_mass = volume0 * rho0 * exp(P0/bulk) = pi*3 * 1 * exp(0.1/0.5) = 11.51145
[Mesh]
type = GeneratedMesh
dim = 2
nx = 1
ny = 1
xmin = 1
xmax = 2
ymin = -0.5
ymax = 0.5
coord_type = RZ
[]
[GlobalParams]
displacements = 'disp_r disp_z'
PorousFlowDictator = dictator
block = 0
biot_coefficient = 0.3
[]
[Variables]
[disp_r]
[]
[disp_z]
[]
[porepressure]
initial_condition = 0.1
[]
[]
[BCs]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'bottom top'
[]
[rmin_fixed]
type = DirichletBC
variable = disp_r
value = 0
boundary = left
[]
[contract]
type = FunctionDirichletBC
variable = disp_r
function = -0.01*t
boundary = right
[]
[]
[Kernels]
[grad_stress_r]
type = StressDivergenceRZTensors
variable = disp_r
component = 0
[]
[grad_stress_z]
type = StressDivergenceRZTensors
variable = disp_z
component = 1
[]
[poro_r]
type = PorousFlowEffectiveStressCoupling
variable = disp_r
component = 0
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
variable = disp_z
component = 1
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[]
[AuxVariables]
[stress_rr]
order = CONSTANT
family = MONOMIAL
[]
[stress_rz]
order = CONSTANT
family = MONOMIAL
[]
[stress_zz]
order = CONSTANT
family = MONOMIAL
[]
[stress_tt]
order = CONSTANT
family = MONOMIAL
[]
[strain_rr]
order = CONSTANT
family = MONOMIAL
[]
[strain_zz]
order = CONSTANT
family = MONOMIAL
[]
[strain_tt]
order = CONSTANT
family = MONOMIAL
[]
[vol_strain]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_rr]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rr
index_i = 0
index_j = 0
[]
[stress_rz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_rz
index_i = 0
index_j = 1
[]
[stress_zz]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_zz
index_i = 1
index_j = 1
[]
[stress_tt]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_tt
index_i = 2
index_j = 2
[]
[strain_rr]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_rr
index_i = 0
index_j = 0
[]
[strain_zz]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_zz
index_i = 1
index_j = 1
[]
[strain_tt]
type = RankTwoAux
rank_two_tensor = total_strain
variable = strain_tt
index_i = 2
index_j = 2
[]
[vol_strain]
type = MaterialRealAux
property = PorousFlow_total_volumetric_strain_qp
variable = vol_strain
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '1 1.5'
# bulk modulus is lambda + 2*mu/3 = 1 + 2*1.5/3 = 2
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeAxisymmetricRZSmallStrain
volumetric_locking_correction = true # the strain will be the same at every qp of the element
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst
porosity = 0.1
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '0.5 0 0 0 0.5 0 0 0 0.5'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_r disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1.0 0 0'
variable = porepressure
[]
[vol_strain]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = vol_strain
[]
[strain_rr]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_rr
[]
[strain_zz]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_zz
[]
[strain_tt]
type = PointValue
outputs = 'console csv'
execute_on = 'initial timestep_end'
point = '1 0 0'
variable = strain_tt
[]
[rdisp]
type = PointValue
outputs = csv
point = '2 0 0'
use_displaced_mesh = false
variable = disp_r
[]
[stress_rr]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_rr
[]
[stress_zz]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_zz
[]
[stress_tt]
type = PointValue
outputs = csv
point = '1 0 0'
variable = stress_tt
[]
[fluid_mass]
type = PorousFlowFluidMass
fluid_component = 0
execute_on = 'initial timestep_end'
outputs = 'console csv'
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-14 1E-8 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 10
dt = 2
[]
[Outputs]
execute_on = 'initial timestep_end'
[csv]
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated_volume.i)
# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedFullySaturatedMassTimeDerivative kernels
# with multiply_by_density = false, so that this problem becomes linear
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
biot_coefficient = 0.6
multiply_by_density = false
coupling_type = HydroMechanical
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
multiply_by_density = false
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
solid_bulk_compliance = 1
fluid_bulk_modulus = 8
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_fully_saturated_volume
[csv]
time_step_interval = 3
type = CSV
[]
[]
(modules/porous_flow/test/tests/jacobian/denergy02.i)
# 2phase, 1 component, with solid displacements, time derivative of energy-density
[Mesh]
type = GeneratedMesh
dim = 3
nx = 2
xmin = 0
xmax = 1
ny = 1
ymin = 0
ymax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pgas]
[]
[pwater]
[]
[temp]
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pgas]
type = RandomIC
variable = pgas
max = 1.0
min = 0.0
[]
[pwater]
type = RandomIC
variable = pwater
max = 0.0
min = -1.0
[]
[temp]
type = RandomIC
variable = temp
max = 1.0
min = 0.0
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[dummy_pgas]
type = Diffusion
variable = pgas
[]
[dummy_pwater]
type = Diffusion
variable = pwater
[]
[energy_dot]
type = PorousFlowEnergyTimeDerivative
variable = temp
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pgas temp pwater disp_x disp_y disp_z'
number_fluid_phases = 2
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid0]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
cv = 1.3
[]
[simple_fluid1]
type = SimpleFluidProperties
bulk_modulus = 0.5
density0 = 0.5
thermal_expansion = 0
cv = 0.7
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temp
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.7
biot_coefficient = 0.9
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[rock_heat]
type = PorousFlowMatrixInternalEnergy
specific_heat_capacity = 1.1
density = 0.5
[]
[ppss]
type = PorousFlow2PhasePP
phase0_porepressure = pwater
phase1_porepressure = pgas
capillary_pressure = pc
[]
[simple_fluid0]
type = PorousFlowSingleComponentFluid
fp = simple_fluid0
phase = 0
[]
[simple_fluid1]
type = PorousFlowSingleComponentFluid
fp = simple_fluid1
phase = 1
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poroperm/poro_tm.i)
# Test that porosity is correctly calculated.
# Porosity = 1 + (phi0 - 1) * exp(-vol_strain + thermal_exp_coeff * (temperature - ref_temperature))
# The parameters used are:
# phi0 = 0.5
# vol_strain = 0.5
# thermal_exp_coeff = 0.5
# temperature = 4
# ref_temperature = 3.5
# which yield porosity = 0.610599608464
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[porepressure]
initial_condition = 2
[]
[temperature]
initial_condition = 4
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = FunctionIC
function = '0.5 * x'
variable = disp_x
[]
[]
[Kernels]
[dummy_p]
type = TimeDerivative
variable = porepressure
[]
[dummy_t]
type = TimeDerivative
variable = temperature
[]
[dummy_x]
type = TimeDerivative
variable = disp_x
[]
[dummy_y]
type = TimeDerivative
variable = disp_y
[]
[dummy_z]
type = TimeDerivative
variable = disp_z
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
variable = porosity
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[total_strain]
type = ComputeSmallStrain
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[porosity]
type = PorousFlowPorosity
mechanical = true
thermal = true
ensure_positive = false
porosity_zero = 0.5
thermal_expansion_coeff = 0.5
reference_temperature = 3.5
[]
[]
[Executioner]
solve_type = Newton
type = Transient
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/jacobian/mass_vol_exp03.i)
# Tests the PorousFlowMassVolumetricExpansion kernel
# Fluid with constant bulk modulus, van-Genuchten capillary, HM porosity, multiply_by_density = false
[Mesh]
type = GeneratedMesh
dim = 3
nx = 1
ny = 1
nz = 1
xmin = -1
xmax = 1
ymin = -1
ymax = 1
zmin = -1
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
block = 0
PorousFlowDictator = dictator
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[ICs]
[disp_x]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_x
[]
[disp_y]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_y
[]
[disp_z]
type = RandomIC
min = -0.1
max = 0.1
variable = disp_z
[]
[p]
type = RandomIC
min = -1
max = 1
variable = porepressure
[]
[]
[BCs]
# necessary otherwise volumetric strain rate will be zero
[disp_x]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left right'
[]
[disp_y]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'left right'
[]
[disp_z]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'left right'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
displacements = 'disp_x disp_y disp_z'
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
displacements = 'disp_x disp_y disp_z'
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
displacements = 'disp_x disp_y disp_z'
component = 2
[]
[poro]
type = PorousFlowMassVolumetricExpansion
fluid_component = 0
variable = porepressure
multiply_by_density = false
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '2 3'
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1E-5
[]
[Outputs]
execute_on = 'timestep_end'
file_base = jacobian2
exodus = false
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel_fully_saturated.i)
# Mandel's problem of consolodation of a drained medium
# Using the FullySaturatedDarcyBase and FullySaturatedMassTimeDerivative kernels
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[mass0]
type = PorousFlowFullySaturatedMassTimeDerivative
biot_coefficient = 0.6
coupling_type = HydroMechanical
variable = porepressure
[]
[flux]
type = PorousFlowFullySaturatedDarcyBase
variable = porepressure
gravity = '0 0 0'
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure_qp]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseFullySaturated
porepressure = porepressure
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid_qp]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityConst # only the initial value of this is ever used
porosity = 0.1
[]
[biot_modulus]
type = PorousFlowConstantBiotModulus
biot_coefficient = 0.6
solid_bulk_compliance = 1
fluid_bulk_modulus = 8
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_fully_saturated
[csv]
time_step_interval = 3
type = CSV
[]
[]
(modules/porous_flow/test/tests/poro_elasticity/mandel_constM.i)
# Mandel's problem of consolodation of a drained medium
#
# A sample is in plane strain.
# -a <= x <= a
# -b <= y <= b
# It is squashed with constant force by impermeable, frictionless plattens on its top and bottom surfaces (at y=+/-b)
# Fluid is allowed to leak out from its sides (at x=+/-a)
# The porepressure within the sample is monitored.
#
# As is common in the literature, this is simulated by
# considering the quarter-sample, 0<=x<=a and 0<=y<=b, with
# impermeable, roller BCs at x=0 and y=0 and y=b.
# Porepressure is fixed at zero on x=a.
# Porepressure and displacement are initialised to zero.
# Then the top (y=b) is moved downwards with prescribed velocity,
# so that the total force that is inducing this downwards velocity
# is fixed. The velocity is worked out by solving Mandel's problem
# analytically, and the total force is monitored in the simulation
# to check that it indeed remains constant.
#
# Here are the problem's parameters, and their values:
# Soil width. a = 1
# Soil height. b = 0.1
# Soil's Lame lambda. la = 0.5
# Soil's Lame mu, which is also the Soil's shear modulus. mu = G = 0.75
# Soil bulk modulus. K = la + 2*mu/3 = 1
# Drained Poisson ratio. nu = (3K - 2G)/(6K + 2G) = 0.2
# Soil bulk compliance. 1/K = 1
# Fluid bulk modulus. Kf = 8
# Fluid bulk compliance. 1/Kf = 0.125
# Soil initial porosity. phi0 = 0.1
# Biot coefficient. alpha = 0.6
# Biot modulus. M = 1/(phi0/Kf + (alpha - phi0)(1 - alpha)/K) = 4.705882
# Undrained bulk modulus. Ku = K + alpha^2*M = 2.694118
# Undrained Poisson ratio. nuu = (3Ku - 2G)/(6Ku + 2G) = 0.372627
# Skempton coefficient. B = alpha*M/Ku = 1.048035
# Fluid mobility (soil permeability/fluid viscosity). k = 1.5
# Consolidation coefficient. c = 2*k*B^2*G*(1-nu)*(1+nuu)^2/9/(1-nuu)/(nuu-nu) = 3.821656
# Normal stress on top. F = 1
#
# The solution for porepressure and displacements is given in
# AHD Cheng and E Detournay "A direct boundary element method for plane strain poroelasticity" International Journal of Numerical and Analytical Methods in Geomechanics 12 (1988) 551-572.
# The solution involves complicated infinite series, so I shall not write it here
[Mesh]
type = GeneratedMesh
dim = 3
nx = 10
ny = 1
nz = 1
xmin = 0
xmax = 1
ymin = 0
ymax = 0.1
zmin = 0
zmax = 1
[]
[GlobalParams]
displacements = 'disp_x disp_y disp_z'
PorousFlowDictator = dictator
block = 0
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure disp_x disp_y disp_z'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.8
alpha = 1e-5
[]
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[porepressure]
[]
[]
[BCs]
[roller_xmin]
type = DirichletBC
variable = disp_x
value = 0
boundary = 'left'
[]
[roller_ymin]
type = DirichletBC
variable = disp_y
value = 0
boundary = 'bottom'
[]
[plane_strain]
type = DirichletBC
variable = disp_z
value = 0
boundary = 'back front'
[]
[xmax_drained]
type = DirichletBC
variable = porepressure
value = 0
boundary = right
[]
[top_velocity]
type = FunctionDirichletBC
variable = disp_y
function = top_velocity
boundary = top
[]
[]
[Functions]
[top_velocity]
type = PiecewiseLinear
x = '0 0.002 0.006 0.014 0.03 0.046 0.062 0.078 0.094 0.11 0.126 0.142 0.158 0.174 0.19 0.206 0.222 0.238 0.254 0.27 0.286 0.302 0.318 0.334 0.35 0.366 0.382 0.398 0.414 0.43 0.446 0.462 0.478 0.494 0.51 0.526 0.542 0.558 0.574 0.59 0.606 0.622 0.638 0.654 0.67 0.686 0.702'
y = '-0.041824842 -0.042730269 -0.043412712 -0.04428867 -0.045509181 -0.04645965 -0.047268246 -0.047974749 -0.048597109 -0.0491467 -0.049632388 -0.050061697 -0.050441198 -0.050776675 -0.051073238 -0.0513354 -0.051567152 -0.051772022 -0.051953128 -0.052113227 -0.052254754 -0.052379865 -0.052490464 -0.052588233 -0.052674662 -0.052751065 -0.052818606 -0.052878312 -0.052931093 -0.052977751 -0.053018997 -0.053055459 -0.053087691 -0.053116185 -0.053141373 -0.05316364 -0.053183324 -0.053200724 -0.053216106 -0.053229704 -0.053241725 -0.053252351 -0.053261745 -0.053270049 -0.053277389 -0.053283879 -0.053289615'
[]
[]
[AuxVariables]
[stress_yy]
order = CONSTANT
family = MONOMIAL
[]
[tot_force]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[stress_yy]
type = RankTwoAux
rank_two_tensor = stress
variable = stress_yy
index_i = 1
index_j = 1
[]
[tot_force]
type = ParsedAux
coupled_variables = 'stress_yy porepressure'
execute_on = timestep_end
variable = tot_force
expression = '-stress_yy+0.6*porepressure'
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[poro_x]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_x
component = 0
[]
[poro_y]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
variable = disp_y
component = 1
[]
[poro_z]
type = PorousFlowEffectiveStressCoupling
biot_coefficient = 0.6
component = 2
variable = disp_z
[]
[poro_vol_exp]
type = PorousFlowMassVolumetricExpansion
variable = porepressure
fluid_component = 0
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = porepressure
[]
[flux]
type = PorousFlowAdvectiveFlux
variable = porepressure
gravity = '0 0 0'
fluid_component = 0
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 8
density0 = 1
thermal_expansion = 0
viscosity = 1
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosityHMBiotModulus
porosity_zero = 0.1
biot_coefficient = 0.6
solid_bulk = 1
constant_fluid_bulk_modulus = 8
constant_biot_modulus = 4.7058823529
[]
[permeability]
type = PorousFlowPermeabilityConst
permeability = '1.5 0 0 0 1.5 0 0 0 1.5'
[]
[relperm]
type = PorousFlowRelativePermeabilityCorey
n = 0 # unimportant in this fully-saturated situation
phase = 0
[]
[]
[Postprocessors]
[p0]
type = PointValue
outputs = csv
point = '0.0 0 0'
variable = porepressure
[]
[p1]
type = PointValue
outputs = csv
point = '0.1 0 0'
variable = porepressure
[]
[p2]
type = PointValue
outputs = csv
point = '0.2 0 0'
variable = porepressure
[]
[p3]
type = PointValue
outputs = csv
point = '0.3 0 0'
variable = porepressure
[]
[p4]
type = PointValue
outputs = csv
point = '0.4 0 0'
variable = porepressure
[]
[p5]
type = PointValue
outputs = csv
point = '0.5 0 0'
variable = porepressure
[]
[p6]
type = PointValue
outputs = csv
point = '0.6 0 0'
variable = porepressure
[]
[p7]
type = PointValue
outputs = csv
point = '0.7 0 0'
variable = porepressure
[]
[p8]
type = PointValue
outputs = csv
point = '0.8 0 0'
variable = porepressure
[]
[p9]
type = PointValue
outputs = csv
point = '0.9 0 0'
variable = porepressure
[]
[p99]
type = PointValue
outputs = csv
point = '1 0 0'
variable = porepressure
[]
[xdisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_x
[]
[ydisp]
type = PointValue
outputs = csv
point = '1 0.1 0'
variable = disp_y
[]
[total_downwards_force]
type = ElementAverageValue
outputs = csv
variable = tot_force
[]
[dt]
type = FunctionValuePostprocessor
outputs = console
function = if(0.15*t<0.01,0.15*t,0.01)
[]
[]
[Preconditioning]
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -sub_pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'gmres asm lu 1E-14 1E-10 10000'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
start_time = 0
end_time = 0.7
[TimeStepper]
type = PostprocessorDT
postprocessor = dt
dt = 0.001
[]
[]
[Outputs]
execute_on = 'timestep_end'
file_base = mandel_constM
[csv]
time_step_interval = 3
type = CSV
[]
[]
(modules/porous_flow/test/tests/poroperm/except1.i)
# Exception test: thermal=true but no thermal_expansion_coeff provided
[Mesh]
type = GeneratedMesh
dim = 3
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
biot_coefficient = 0.7
[]
[Variables]
[porepressure]
initial_condition = 2
[]
[temperature]
initial_condition = 4
[]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[]
[ICs]
[disp_x]
type = FunctionIC
function = '0.5 * x'
variable = disp_x
[]
[]
[Kernels]
[dummy_p]
type = TimeDerivative
variable = porepressure
[]
[dummy_t]
type = TimeDerivative
variable = temperature
[]
[dummy_x]
type = TimeDerivative
variable = disp_x
[]
[dummy_y]
type = TimeDerivative
variable = disp_y
[]
[dummy_z]
type = TimeDerivative
variable = disp_z
[]
[]
[AuxVariables]
[porosity]
order = CONSTANT
family = MONOMIAL
[]
[]
[AuxKernels]
[porosity]
type = PorousFlowPropertyAux
property = porosity
variable = porosity
[]
[]
[Postprocessors]
[porosity]
type = PointValue
variable = porosity
point = '0 0 0'
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'porepressure temperature'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureConst
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
temperature = temperature
[]
[eff_fluid_pressure]
type = PorousFlowEffectiveFluidPressure
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = porepressure
capillary_pressure = pc
[]
[porosity]
type = PorousFlowPorosity
mechanical = true
fluid = true
thermal = true
ensure_positive = false
porosity_zero = 0.5
solid_bulk = 0.3
reference_porepressure = 3
reference_temperature = 3.5
[]
[]
[Executioner]
solve_type = Newton
type = Transient
num_steps = 1
[]
[Outputs]
csv = true
[]
(modules/porous_flow/test/tests/jacobian/desorped_mass01.i)
# 1phase
# vanGenuchten, constant-bulk density, HM porosity, 1component, unsaturated
[Mesh]
type = GeneratedMesh
dim = 3
xmin = -1
xmax = 1
[]
[GlobalParams]
PorousFlowDictator = dictator
displacements = 'disp_x disp_y disp_z'
[]
[Variables]
[disp_x]
[]
[disp_y]
[]
[disp_z]
[]
[pp]
[]
[conc]
family = MONOMIAL
order = CONSTANT
[]
[]
[ICs]
[disp_x]
type = RandomIC
variable = disp_x
min = -0.1
max = 0.1
[]
[disp_y]
type = RandomIC
variable = disp_y
min = -0.1
max = 0.1
[]
[disp_z]
type = RandomIC
variable = disp_z
min = -0.1
max = 0.1
[]
[pp]
type = RandomIC
variable = pp
min = -1
max = 1
[]
[conc]
type = RandomIC
variable = conc
min = 0
max = 1
[]
[]
[Kernels]
[grad_stress_x]
type = StressDivergenceTensors
variable = disp_x
component = 0
[]
[grad_stress_y]
type = StressDivergenceTensors
variable = disp_y
component = 1
[]
[grad_stress_z]
type = StressDivergenceTensors
variable = disp_z
component = 2
[]
[mass0]
type = PorousFlowMassTimeDerivative
fluid_component = 0
variable = pp
[]
[conc]
type = PorousFlowDesorpedMassTimeDerivative
conc_var = conc
variable = conc
[]
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
porous_flow_vars = 'pp disp_x disp_y disp_z conc'
number_fluid_phases = 1
number_fluid_components = 1
[]
[pc]
type = PorousFlowCapillaryPressureVG
m = 0.5
alpha = 1
[]
[]
[FluidProperties]
[simple_fluid]
type = SimpleFluidProperties
bulk_modulus = 1.5
density0 = 1
thermal_expansion = 0
[]
[]
[Materials]
[temperature]
type = PorousFlowTemperature
[]
[elasticity_tensor]
type = ComputeElasticityTensor
C_ijkl = '0.5 0.75'
# bulk modulus is lambda + 2*mu/3 = 0.5 + 2*0.75/3 = 1
fill_method = symmetric_isotropic
[]
[strain]
type = ComputeSmallStrain
[]
[stress]
type = ComputeLinearElasticStress
[]
[vol_strain]
type = PorousFlowVolumetricStrain
[]
[ppss]
type = PorousFlow1PhaseP
porepressure = pp
capillary_pressure = pc
[]
[massfrac]
type = PorousFlowMassFraction
[]
[simple_fluid]
type = PorousFlowSingleComponentFluid
fp = simple_fluid
phase = 0
[]
[porosity]
type = PorousFlowPorosity
fluid = true
mechanical = true
porosity_zero = 0.1
biot_coefficient = 0.5
solid_bulk = 1
[]
[p_eff]
type = PorousFlowEffectiveFluidPressure
[]
[]
[Preconditioning]
active = check
[andy]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000'
[]
[check]
type = SMP
full = true
petsc_options_iname = '-ksp_type -pc_type -snes_atol -snes_rtol -snes_max_it -snes_type'
petsc_options_value = 'bcgs bjacobi 1E-15 1E-10 10000 test'
[]
[]
[Executioner]
type = Transient
solve_type = Newton
dt = 1
end_time = 1
[]
[Outputs]
exodus = false
[]
(modules/porous_flow/test/tests/poroperm/linear_except1.i)
# Exception testing of PorousFlowPorosityLinear: demonstrating that an error is thrown if there are missing Materials
[GlobalParams]
PorousFlowDictator = dictator
[]
[Mesh]
[gmg]
type = GeneratedMeshGenerator
dim = 1
[]
[]
[Problem]
kernel_coverage_check = false
[]
[UserObjects]
[dictator]
type = PorousFlowDictator
number_fluid_phases = 1
number_fluid_components = 1
porous_flow_vars = pp
[]
[]
[Variables]
[pp]
[]
[disp]
[]
[]
[Kernels]
[pp]
type = Diffusion
variable = pp
[]
[]
[Materials]
[ps]
type = PorousFlow1PhaseFullySaturated
porepressure = pp
[]
[temperature]
type = PorousFlowTemperature
[]
[pf]
type = PorousFlowEffectiveFluidPressure
[]
[volstrain]
type = PorousFlowVolumetricStrain
displacements = pp
[]
[porosity]
type = PorousFlowPorosityLinear
porosity_ref = 0.1
[]
[total_strain]
type = ComputeSmallStrain
displacements = disp
[]
[]
[Executioner]
type = Transient
dt = 1
num_steps = 1
[]