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RegularizedVanGenuchten.hpp
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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
/*
This file is part of the Open Porous Media project (OPM).
OPM is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 2 of the License, or
(at your option) any later version.
OPM is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with OPM. If not, see <http://www.gnu.org/licenses/>.
Consult the COPYING file in the top-level source directory of this
module for the precise wording of the license and the list of
copyright holders.
*/
#ifndef OPM_REGULARIZED_VAN_GENUCHTEN_HPP
#define OPM_REGULARIZED_VAN_GENUCHTEN_HPP
#include "VanGenuchten.hpp"
#include "RegularizedVanGenuchtenParams.hpp"
#include <opm/material/common/Spline.hpp>
#include <algorithm>
namespace Opm {
template <class TraitsT, class ParamsT = RegularizedVanGenuchtenParams<TraitsT> >
class RegularizedVanGenuchten : public TraitsT
{
typedef ::Opm::VanGenuchten<TraitsT, ParamsT> VanGenuchten;
public:
typedef TraitsT Traits;
typedef ParamsT Params;
typedef typename Traits::Scalar Scalar;
static const int numPhases = Traits::numPhases;
static_assert(numPhases == 2,
"The regularized van Genuchten capillary pressure law only "
"applies to the case of two fluid phases");
static const bool implementsTwoPhaseApi = true;
static const bool implementsTwoPhaseSatApi = true;
static const bool isSaturationDependent = true;
static const bool isPressureDependent = false;
static const bool isTemperatureDependent = false;
static const bool isCompositionDependent = false;
template <class Container, class FluidState>
static void capillaryPressures(Container& values, const Params& params, const FluidState& fs)
{
typedef typename std::remove_reference<decltype(values[0])>::type Evaluation;
values[Traits::wettingPhaseIdx] = 0.0; // reference phase
values[Traits::nonWettingPhaseIdx] = pcnw<FluidState, Evaluation>(params, fs);
}
template <class Container, class FluidState>
static void saturations(Container& values, const Params& params, const FluidState& fs)
{
typedef typename std::remove_reference<decltype(values[0])>::type Evaluation;
values[Traits::wettingPhaseIdx] = Sw<FluidState, Evaluation>(params, fs);
values[Traits::nonWettingPhaseIdx] = 1 - values[Traits::wettingPhaseIdx];
}
template <class Container, class FluidState>
static void relativePermeabilities(Container& values, const Params& params, const FluidState& fs)
{
typedef typename std::remove_reference<decltype(values[0])>::type Evaluation;
values[Traits::wettingPhaseIdx] = krw<FluidState, Evaluation>(params, fs);
values[Traits::nonWettingPhaseIdx] = krn<FluidState, Evaluation>(params, fs);
}
template <class FluidState, class Evaluation = typename FluidState::Scalar>
static Evaluation pcnw(const Params& params, const FluidState& fs)
{
const auto& Sw = decay<Evaluation>(fs.saturation(Traits::wettingPhaseIdx));
return twoPhaseSatPcnw(params, Sw);
}
template <class Evaluation>
static Evaluation twoPhaseSatPcnw(const Params& params, const Evaluation& Sw)
{
// retrieve the low and the high threshold saturations for the
// unregularized capillary pressure curve from the parameters
const Scalar SwThLow = params.pcnwLowSw();
const Scalar SwThHigh = params.pcnwHighSw();
// make sure that the capillary pressure observes a derivative
// != 0 for 'illegal' saturations. This is favourable for the
// newton solver (if the derivative is calculated numerically)
// in order to get the saturation moving to the right
// direction if it temporarily is in an 'illegal' range.
if (Sw < SwThLow) {
return params.pcnwLow() + params.pcnwSlopeLow()*(Sw - SwThLow);
}
else if (Sw > SwThHigh)
{
Scalar yTh = params.pcnwHigh();
Scalar m1 = (0.0 - yTh)/(1.0 - SwThHigh)*2;
if (Sw < 1.0) {
// use spline between threshold Sw and 1.0
const Spline<Scalar>& sp = params.pcnwHighSpline();
return sp.eval(Sw);
}
else {
// straight line for Sw > 1.0
return m1*(Sw - 1.0) + 0.0;
}
}
// if the effective saturation is in an 'reasonable'
// range, we use the real van genuchten law...
return VanGenuchten::twoPhaseSatPcnw(params, Sw);
}
template <class FluidState, class Evaluation = typename FluidState::Scalar>
static Evaluation Sw(const Params& params, const FluidState& fs)
{
const Evaluation& pC =
decay<Evaluation>(fs.pressure(Traits::nonWettingPhaseIdx))
- decay<Evaluation>(fs.pressure(Traits::wettingPhaseIdx));
return twoPhaseSatSw(params, pC);
}
template <class Evaluation>
static Evaluation twoPhaseSatSw(const Params& params, const Evaluation& pC)
{
// retrieve the low and the high threshold saturations for the
// unregularized capillary pressure curve from the parameters
const Scalar SwThLow = params.pcnwLowSw();
const Scalar SwThHigh = params.pcnwHighSw();
// calculate the saturation which corrosponds to the
// saturation in the non-regularized verision of van
// Genuchten's law
if (pC <= 0) {
// invert straight line for Sw > 1.0
Scalar m1 = params.pcnwSlopeHigh();
return pC/m1 + 1.0;
}
Evaluation Sw = VanGenuchten::twoPhaseSatSw(params, pC);
// invert the regularization if necessary
if (Sw <= SwThLow) {
// invert the low saturation regularization of pC()
Scalar pC_SwLow = VanGenuchten::twoPhaseSatPcnw(params, SwThLow);
return (pC - pC_SwLow)/params.pcnwSlopeLow() + SwThLow;
}
else if (SwThHigh < Sw /* && Sw < 1.0*/)
{
// invert spline between threshold saturation and 1.0
const Spline<Scalar>& spline = params.pcnwHighSpline();
return spline.template intersectInterval<Evaluation>(/*x0=*/SwThHigh, /*x1=*/1.0,
/*a=*/0, /*b=*/0, /*c=*/0, /*d=*/pC);
}
return Sw;
}
template <class FluidState, class Evaluation = typename FluidState::Scalar>
static Evaluation Sn(const Params& params, const FluidState& fs)
{ return 1 - Sw<FluidState, Evaluation>(params, fs); }
template <class Evaluation>
static Evaluation twoPhaseSatSn(const Params& params, const Evaluation& pc)
{ return 1 - twoPhaseSatSw(params, pc); }
template <class FluidState, class Evaluation = typename FluidState::Scalar>
static Evaluation krw(const Params& params, const FluidState& fs)
{
const auto& Sw = decay<Evaluation>(fs.saturation(Traits::wettingPhaseIdx));
return twoPhaseSatKrw(params, Sw);
}
template <class Evaluation>
static Evaluation twoPhaseSatKrw(const Params& params, const Evaluation& Sw)
{
// regularize
if (Sw <= 0)
return 0.0;
else if (Sw >= 1)
return 1.0;
return VanGenuchten::twoPhaseSatKrw(params, Sw);
}
template <class FluidState, class Evaluation = typename FluidState::Scalar>
static Evaluation krn(const Params& params, const FluidState& fs)
{
const Evaluation& Sw =
1.0 - decay<Evaluation>(fs.saturation(Traits::nonWettingPhaseIdx));
return twoPhaseSatKrn(params, Sw);
}
template <class Evaluation>
static Evaluation twoPhaseSatKrn(const Params& params, const Evaluation& Sw)
{
// regularize
if (Sw <= 0)
return 1.0;
else if (Sw >= 1)
return 0.0;
return VanGenuchten::twoPhaseSatKrn(params, Sw);
}
};
} // namespace Opm
#endif
RegularizedVanGenuchtenParams.hpp
Parameters that are necessary for the regularization of VanGenuchten "material law".
Spline.hpp
Class implementing cubic splines.
VanGenuchten.hpp
Implementation of the van Genuchten capillary pressure - saturation relation.
Opm::RegularizedVanGenuchten
Implementation of the regularized van Genuchten's capillary pressure / relative permeability <-> satu...
Definition RegularizedVanGenuchten.hpp:72
Opm::RegularizedVanGenuchten::numPhases
static const int numPhases
The number of fluid phases.
Definition RegularizedVanGenuchten.hpp:82
Opm::RegularizedVanGenuchten::isCompositionDependent
static const bool isCompositionDependent
Specify whether the quantities defined by this material law are dependent on the phase composition.
Definition RegularizedVanGenuchten.hpp:109
Opm::RegularizedVanGenuchten::krn
static Evaluation krn(const Params &params, const FluidState &fs)
Regularized version of the relative permeability for the non-wetting phase of the medium implied by t...
Definition RegularizedVanGenuchten.hpp:327
Opm::RegularizedVanGenuchten::implementsTwoPhaseApi
static const bool implementsTwoPhaseApi
Specify whether this material law implements the two-phase convenience API.
Definition RegularizedVanGenuchten.hpp:89
Opm::RegularizedVanGenuchten::saturations
static void saturations(Container &values, const Params &params, const FluidState &fs)
Calculate the saturations of the phases starting from their pressure differences.
Definition RegularizedVanGenuchten.hpp:129
Opm::RegularizedVanGenuchten::isSaturationDependent
static const bool isSaturationDependent
Specify whether the quantities defined by this material law are saturation dependent.
Definition RegularizedVanGenuchten.hpp:97
Opm::RegularizedVanGenuchten::Sn
static Evaluation Sn(const Params &params, const FluidState &fs)
Calculate the non-wetting phase saturations depending on the phase pressures.
Definition RegularizedVanGenuchten.hpp:272
Opm::RegularizedVanGenuchten::isPressureDependent
static const bool isPressureDependent
Specify whether the quantities defined by this material law are dependent on the absolute pressure.
Definition RegularizedVanGenuchten.hpp:101
Opm::RegularizedVanGenuchten::pcnw
static Evaluation pcnw(const Params &params, const FluidState &fs)
A regularized van Genuchten capillary pressure-saturation curve.
Definition RegularizedVanGenuchten.hpp:163
Opm::RegularizedVanGenuchten::isTemperatureDependent
static const bool isTemperatureDependent
Specify whether the quantities defined by this material law are temperature dependent.
Definition RegularizedVanGenuchten.hpp:105
Opm::RegularizedVanGenuchten::Sw
static Evaluation Sw(const Params &params, const FluidState &fs)
A regularized van Genuchten saturation-capillary pressure curve.
Definition RegularizedVanGenuchten.hpp:222
Opm::RegularizedVanGenuchten::relativePermeabilities
static void relativePermeabilities(Container &values, const Params &params, const FluidState &fs)
Returns the relative permeabilities of the phases dependening on the phase saturations.
Definition RegularizedVanGenuchten.hpp:142
Opm::RegularizedVanGenuchten::implementsTwoPhaseSatApi
static const bool implementsTwoPhaseSatApi
Specify whether this material law implements the two-phase convenience API which only depends on the ...
Definition RegularizedVanGenuchten.hpp:93
Opm::RegularizedVanGenuchten::krw
static Evaluation krw(const Params &params, const FluidState &fs)
Regularized version of the relative permeability for the wetting phase of the medium implied by the v...
Definition RegularizedVanGenuchten.hpp:294
Opm::RegularizedVanGenuchten::capillaryPressures
static void capillaryPressures(Container &values, const Params &params, const FluidState &fs)
Calculate the pressure difference of the phases in the most generic way.
Definition RegularizedVanGenuchten.hpp:116
Opm::VanGenuchten< TraitsT, ParamsT >::twoPhaseSatPcnw
static Evaluation twoPhaseSatPcnw(const Params &params, const Evaluation &Sw)
Definition VanGenuchten.hpp:194
Opm
This class implements a small container which holds the transmissibility mulitpliers for all the face...
Definition Exceptions.hpp:30