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[GeoMechanicsApplication] Implement well constitutive behaviour for line pressure element #12438

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[GeoMechanicsApplication] Implement well constitutive behaviour for line pressure element #12438

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beb1ec1
Added pw_filter_law
mnabideltares May 14, 2024
2df5c62
Merge branch 'master' into geo/12323-implement-pw-well-element
mnabideltares May 14, 2024
5deb613
Merge branch 'master' into geo/12323-implement-pw-well-element
mnabideltares Jun 7, 2024
222b88c
Added filter for pw
mnabideltares Jun 7, 2024
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77 changes: 49 additions & 28 deletions applications/GeoMechanicsApplication/custom_elements/transient_Pw_line_element.h
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Original file line number Diff line number Diff line change
Expand Up @@ -74,11 +74,13 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
std::transform(dN_dX_container.begin(), dN_dX_container.end(), det_J_container.begin(), dN_dX_container.begin(), std::divides<>());
const Matrix& r_N_container = GetGeometry().ShapeFunctionsValues(GetIntegrationMethod());

Vector projected_gravity = this->CalculateProjectedGravityAtIntegrationPoints(r_N_container);

const auto integration_coefficients = CalculateIntegrationCoefficients(det_J_container);
const auto permeability_matrix = CalculatePermeabilityMatrix(dN_dX_container, integration_coefficients);
const auto compressibility_matrix = CalculateCompressibilityMatrix(r_N_container, integration_coefficients);
const auto compressibility_matrix = CalculateCompressibilityMatrix(r_N_container, integration_coefficients, projected_gravity);

const auto fluid_body_vector = CalculateFluidBodyVector(r_N_container, dN_dX_container, integration_coefficients);
const auto fluid_body_vector = CalculateFluidBodyVector(r_N_container, dN_dX_container, integration_coefficients, projected_gravity);

AddContributionsToLhsMatrix(rLeftHandSideMatrix, permeability_matrix, compressibility_matrix, rCurrentProcessInfo[DT_PRESSURE_COEFFICIENT]);
AddContributionsToRhsVector(rRightHandSideVector, permeability_matrix, compressibility_matrix, fluid_body_vector);
Expand Down Expand Up @@ -241,7 +243,8 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
}

BoundedMatrix<double, TNumNodes, TNumNodes> CalculateCompressibilityMatrix(const Matrix& rNContainer,
const Vector& rIntegrationCoefficients) const
const Vector& rIntegrationCoefficients,
const Vector& rProjectedGravity) const
{
const auto& r_properties = GetProperties();
RetentionLaw::Parameters parameters(r_properties);
Expand All @@ -252,7 +255,7 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
integration_point_index < GetGeometry().IntegrationPointsNumber(GetIntegrationMethod());
++integration_point_index) {
const auto N = Vector{row(rNContainer, integration_point_index)};
const double BiotModulusInverse = CalculateBiotModulusInverse(integration_point_index);
const double BiotModulusInverse = CalculateBiotModulusInverse(integration_point_index, rProjectedGravity);
result += GeoTransportEquationUtilities::CalculateCompressibilityMatrix<TNumNodes>(
N, BiotModulusInverse, rIntegrationCoefficients[integration_point_index]);
}
Expand Down Expand Up @@ -284,17 +287,26 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
}


double CalculateBiotModulusInverse(const unsigned int integrationPointIndex) const
double CalculateBiotModulusInverse(const unsigned int integrationPointIndex, const Vector& rProjectedGravity) const
{
const auto& r_properties = GetProperties();

double result = 0.0;
if (r_properties[RETENTION_LAW] == "PressureFilterLaw") {
result = 1.0 / (r_properties[DENSITY_WATER] * rProjectedGravity[integrationPointIndex] *
r_properties[PIPE_ELEMENT_LENGTH]) +
1.0 / r_properties[BULK_MODULUS_FLUID];
return result;
}

const double biot_coefficient = r_properties[BIOT_COEFFICIENT];

double bulk_fluid = TINY;
if (!r_properties[IGNORE_UNDRAINED]) {
bulk_fluid = r_properties[BULK_MODULUS_FLUID];
}
double result = (biot_coefficient - r_properties[POROSITY]) / r_properties[BULK_MODULUS_SOLID] +
r_properties[POROSITY] / bulk_fluid;
result = (biot_coefficient - r_properties[POROSITY]) / r_properties[BULK_MODULUS_SOLID] +
r_properties[POROSITY] / bulk_fluid;

RetentionLaw::Parameters RetentionParameters(GetProperties());
const double degree_of_saturation = mRetentionLawVector[integrationPointIndex]->CalculateSaturation(RetentionParameters);
Expand Down Expand Up @@ -327,38 +339,21 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
array_1d<double, TNumNodes> CalculateFluidBodyVector(
const Matrix& rNContainer,
const GeometryType::ShapeFunctionsGradientsType& rShapeFunctionGradients,
const Vector& rIntegrationCoefficients) const
const Vector& rIntegrationCoefficients,
const Vector& rProjectedGravity) const
{
const std::size_t number_integration_points = GetGeometry().IntegrationPointsNumber(GetIntegrationMethod());
GeometryType::JacobiansType J_container;
J_container.resize(number_integration_points, false);
for (std::size_t i = 0; i < number_integration_points; ++i) {
J_container[i].resize(GetGeometry().WorkingSpaceDimension(), GetGeometry().LocalSpaceDimension(), false);
}
GetGeometry().Jacobian(J_container, this->GetIntegrationMethod());

const auto& r_properties = GetProperties();
BoundedMatrix<double, 1, 1> constitutive_matrix;
GeoElementUtilities::FillPermeabilityMatrix(constitutive_matrix, r_properties);

RetentionLaw::Parameters RetentionParameters(GetProperties());

array_1d<double, TNumNodes * TDim> volume_acceleration;
GeoElementUtilities::GetNodalVariableVector<TDim, TNumNodes>(volume_acceleration, GetGeometry(), VOLUME_ACCELERATION);
array_1d<double, TDim> body_acceleration;
array_1d<double, 1> projected_gravity = ZeroVector(1);

array_1d<double, TNumNodes> fluid_body_vector = ZeroVector(TNumNodes);
for (unsigned int integration_point_index = 0;
integration_point_index < GetGeometry().IntegrationPointsNumber(GetIntegrationMethod());
++integration_point_index) {
GeoElementUtilities::InterpolateVariableWithComponents<TDim, TNumNodes>(
body_acceleration, rNContainer, volume_acceleration, integration_point_index);

array_1d<double, TDim> tangent_vector = column(J_container[integration_point_index], 0);
tangent_vector /= norm_2(tangent_vector);

array_1d<double, 1> projected_gravity = ZeroVector(1);
projected_gravity(0) = MathUtils<double>::Dot(tangent_vector, body_acceleration);
projected_gravity(0) = rProjectedGravity[integration_point_index];
const auto N = Vector{row(rNContainer, integration_point_index)};
double RelativePermeability = mRetentionLawVector[integration_point_index]->CalculateRelativePermeability(RetentionParameters);
fluid_body_vector += r_properties[DENSITY_WATER] * RelativePermeability
Expand All @@ -369,6 +364,32 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) TransientPwLineElement : public Elem
}


Vector CalculateProjectedGravityAtIntegrationPoints(const Matrix& rNContainer)
{
const std::size_t number_integration_points = GetGeometry().IntegrationPointsNumber(GetIntegrationMethod());
GeometryType::JacobiansType J_container;
J_container.resize(number_integration_points, false);
for (std::size_t i = 0; i < number_integration_points; ++i) {
J_container[i].resize(GetGeometry().WorkingSpaceDimension(), GetGeometry().LocalSpaceDimension(), false);
}
GetGeometry().Jacobian(J_container, this->GetIntegrationMethod());

array_1d<double, TNumNodes * TDim> volume_acceleration;
GeoElementUtilities::GetNodalVariableVector<TDim, TNumNodes>(volume_acceleration, GetGeometry(), VOLUME_ACCELERATION);
array_1d<double, TDim> body_acceleration;

Vector projected_gravity = ZeroVector(number_integration_points);

for (unsigned int integration_point_index = 0; integration_point_index < number_integration_points; ++integration_point_index) {
GeoElementUtilities::InterpolateVariableWithComponents<TDim, TNumNodes>(body_acceleration, rNContainer, volume_acceleration, integration_point_index);
array_1d<double, TDim> tangent_vector = column(J_container[integration_point_index], 0);
tangent_vector /= norm_2(tangent_vector);
projected_gravity(integration_point_index) = MathUtils<double>::Dot(tangent_vector, body_acceleration);
}
return projected_gravity;
}


[[nodiscard]] DofsVectorType GetDofs() const
{
return Geo::DofUtilities::ExtractDofsFromNodes(GetGeometry(), WATER_PRESSURE);
Expand Down
3 changes: 3 additions & 0 deletions applications/GeoMechanicsApplication/custom_retention/retention_law_factory.h
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Original file line number Diff line number Diff line change
Expand Up @@ -56,6 +56,9 @@ class KRATOS_API(GEO_MECHANICS_APPLICATION) RetentionLawFactory
if (RetentionLawName == "SaturatedBelowPhreaticLevelLaw")
return make_unique<SaturatedBelowPhreaticLevelLaw>();

if (RetentionLawName == "PressureFilterLaw")
return make_unique<SaturatedLaw>();

KRATOS_ERROR << "Undefined RETENTION_LAW! "
<< RetentionLawName
<< std::endl;
Expand Down
8 changes: 7 additions & 1 deletion applications/GeoMechanicsApplication/custom_utilities/element_utilities.hpp
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Original file line number Diff line number Diff line change
Expand Up @@ -19,6 +19,7 @@

// Application includes
#include "geo_mechanics_application_variables.h"
#include "includes/global_variables.h"

namespace Kratos
{
Expand Down Expand Up @@ -142,7 +143,12 @@ class GeoElementUtilities
const Element::PropertiesType& Prop)
{
// 1D
rPermeabilityMatrix(0, 0) = Prop[PERMEABILITY_XX];
if (Prop[RETENTION_LAW] == "PressureFilterLaw") {
const double equivalent_radius_square = Prop[CROSS_AREA] / Globals::Pi;
rPermeabilityMatrix(0, 0) = equivalent_radius_square * 0.125;
} else {
rPermeabilityMatrix(0, 0) = Prop[PERMEABILITY_XX];
}
}

static inline void FillPermeabilityMatrix(BoundedMatrix<double, 2, 2>& rPermeabilityMatrix,
Expand Down
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