SaturationLiakopoulos.cpp

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// SPDX-FileCopyrightText: Copyright (c) OpenGeoSys Community (opengeosys.org)
// SPDX-License-Identifier: BSD-3-Clause
 
#include "SaturationLiakopoulos.h"
 
#include <algorithm>
#include <cmath>
 
#include "MaterialLib/MPL/Medium.h"
#include "MathLib/MathTools.h"
 
namespace MaterialPropertyLib
{
PropertyDataType SaturationLiakopoulos::value(
    VariableArray const& variable_array,
    ParameterLib::SpatialPosition const& /*pos*/, double const /*t*/,
    double const /*dt*/) const
{
    const double p_cap = variable_array.capillary_pressure;
 
    if (p_cap < 0.)
    {
        return 1.;
    }
 
    return std::max(residual_liquid_saturation_,
                    1. - parameter_a_ * std::pow(p_cap, parameter_b_));
}
 
PropertyDataType SaturationLiakopoulos::dValue(
    VariableArray const& variable_array, Variable const variable,
    ParameterLib::SpatialPosition const& /*pos*/, double const /*t*/,
    double const /*dt*/) const
{
    if (variable != Variable::capillary_pressure)
    {
        OGS_FATAL(
            "SaturationLiakopoulos::dValue is implemented for derivatives with "
            "respect to capillary pressure only.");
    }
 
    const double p_cap = variable_array.capillary_pressure;
    if (p_cap <= 0.)
    {
        return 0.;
    }
    const double p_cap_restricted = std::min(p_cap, p_cap_max_);
 
    return -parameter_a_ * parameter_b_ *
           std::pow(p_cap_restricted, parameter_b_ - 1.);
}
 
PropertyDataType SaturationLiakopoulos::d2Value(
    VariableArray const& variable_array, Variable const variable1,
    Variable const variable2, ParameterLib::SpatialPosition const& /*pos*/,
    double const /*t*/, double const /*dt*/) const
{
    if ((variable1 != Variable::capillary_pressure) &&
        (variable2 != Variable::capillary_pressure))
    {
        OGS_FATAL(
            "SaturationLiakopoulos::d2Value is implemented for derivatives "
            "with respect to capillary pressure only.");
    }
 
    const double p_cap = variable_array.capillary_pressure;
 
    if (p_cap < 0.)
    {
        return 0.;
    }
    const double p_cap_restricted = std::min(p_cap, p_cap_max_);
    return -parameter_a_ * (parameter_b_ - 1.) * parameter_b_ *
           std::pow(p_cap_restricted, parameter_b_ - 2.);
}
 
}  // namespace MaterialPropertyLib