infiltrationproblem.hh

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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 EWOMS_INFILTRATION_PROBLEM_HH
#define EWOMS_INFILTRATION_PROBLEM_HH
 
#include <dune/common/fmatrix.hh>
#include <dune/common/fvector.hh>
#include <dune/common/version.hh>
 
#include <dune/grid/yaspgrid.hh>
#include <dune/grid/io/file/dgfparser/dgfyasp.hh>
 
#include <opm/material/common/Valgrind.hpp>
#include <opm/material/constraintsolvers/ComputeFromReferencePhase.hpp>
#include <opm/material/fluidmatrixinteractions/ThreePhaseParkerVanGenuchten.hpp>
#include <opm/material/fluidmatrixinteractions/MaterialTraits.hpp>
#include <opm/material/fluidstates/CompositionalFluidState.hpp>
#include <opm/material/fluidsystems/H2OAirMesityleneFluidSystem.hpp>
 
#include <opm/models/common/multiphasebaseparameters.hh>
 
#include <opm/models/discretization/common/fvbasefdlocallinearizer.hh>
 
#include <opm/models/pvs/pvsproperties.hh>
 
#include <sstream>
#include <string>
 
namespace Opm {
template <class TypeTag>
class InfiltrationProblem;
}
 
namespace Opm::Properties {
 
namespace TTag {
struct InfiltrationBaseProblem {};
}
 
// Set the grid type
template<class TypeTag>
struct Grid<TypeTag, TTag::InfiltrationBaseProblem> { using type = Dune::YaspGrid<2>; };
 
// Set the problem property
template<class TypeTag>
struct Problem<TypeTag, TTag::InfiltrationBaseProblem> { using type = Opm::InfiltrationProblem<TypeTag>; };
 
// Set the fluid system
template<class TypeTag>
struct FluidSystem<TypeTag, TTag::InfiltrationBaseProblem>
{ using type = Opm::H2OAirMesityleneFluidSystem<GetPropType<TypeTag, Properties::Scalar>>; };
 
// Set the material Law
template<class TypeTag>
struct MaterialLaw<TypeTag, TTag::InfiltrationBaseProblem>
{
private:
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
 
    using Traits= Opm::ThreePhaseMaterialTraits<
        Scalar,
        /*wettingPhaseIdx=*/FluidSystem::waterPhaseIdx,
        /*nonWettingPhaseIdx=*/FluidSystem::naplPhaseIdx,
        /*gasPhaseIdx=*/FluidSystem::gasPhaseIdx,
        /* hysteresis */ false,
        /* endpointscaling */ false>;
 
public:
    using type = Opm::ThreePhaseParkerVanGenuchten<Traits>;
};
 
} // namespace Opm::Properties
 
namespace Opm {
template <class TypeTag>
class InfiltrationProblem : public GetPropType<TypeTag, Properties::BaseProblem>
{
    using ParentType = GetPropType<TypeTag, Properties::BaseProblem>;
 
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
    using MaterialLaw = GetPropType<TypeTag, Properties::MaterialLaw>;
    using MaterialLawParams = GetPropType<TypeTag, Properties::MaterialLawParams>;
    using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
    using EqVector = GetPropType<TypeTag, Properties::EqVector>;
    using RateVector = GetPropType<TypeTag, Properties::RateVector>;
    using BoundaryRateVector = GetPropType<TypeTag, Properties::BoundaryRateVector>;
    using Simulator = GetPropType<TypeTag, Properties::Simulator>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using Model = GetPropType<TypeTag, Properties::Model>;
 
    // copy some indices for convenience
    using Indices = GetPropType<TypeTag, Properties::Indices>;
    enum {
        // equation indices
        conti0EqIdx = Indices::conti0EqIdx,
 
        // number of phases/components
        numPhases = FluidSystem::numPhases,
 
        // component indices
        NAPLIdx = FluidSystem::NAPLIdx,
        H2OIdx = FluidSystem::H2OIdx,
        airIdx = FluidSystem::airIdx,
 
        // phase indices
        waterPhaseIdx = FluidSystem::waterPhaseIdx,
        gasPhaseIdx = FluidSystem::gasPhaseIdx,
        naplPhaseIdx = FluidSystem::naplPhaseIdx,
 
        // Grid and world dimension
        dim = GridView::dimension,
        dimWorld = GridView::dimensionworld
    };
 
    using CoordScalar = typename GridView::ctype;
    using GlobalPosition = Dune::FieldVector<CoordScalar, dimWorld>;
    using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
 
public:
    explicit InfiltrationProblem(Simulator& simulator)
        : ParentType(simulator)
        , eps_(1e-6)
    { }
 
    void finishInit()
    {
        ParentType::finishInit();
 
        temperature_ = 273.15 + 10.0; // -> 10 degrees Celsius
        FluidSystem::init(/*tempMin=*/temperature_ - 1,
                          /*tempMax=*/temperature_ + 1,
                          /*nTemp=*/3,
                          /*pressMin=*/0.8 * 1e5,
                          /*pressMax=*/3 * 1e5,
                          /*nPress=*/200);
 
        // intrinsic permeabilities
        fineK_ = this->toDimMatrix_(1e-11);
        coarseK_ = this->toDimMatrix_(1e-11);
 
        // porosities
        porosity_ = 0.40;
 
        // residual saturations
        materialParams_.setSwr(0.12);
        materialParams_.setSwrx(0.12);
        materialParams_.setSnr(0.07);
        materialParams_.setSgr(0.03);
 
        // parameters for the three-phase van Genuchten law
        materialParams_.setVgAlpha(0.0005);
        materialParams_.setVgN(4.);
        materialParams_.setkrRegardsSnr(false);
 
        materialParams_.finalize();
        materialParams_.checkDefined();
    }
 
    static void registerParameters()
    {
        ParentType::registerParameters();
 
        Parameters::SetDefault<Parameters::GridFile>("./data/infiltration_50x3.dgf");
        Parameters::SetDefault<Parameters::NumericDifferenceMethod>(1);
        Parameters::SetDefault<Parameters::EndTime<Scalar>>(6e3);
        Parameters::SetDefault<Parameters::InitialTimeStepSize<Scalar>>(60.0);
        Parameters::SetDefault<Parameters::EnableGravity>(true);
    }
 
 
    bool shouldWriteRestartFile() const
    { return true; }
 
    std::string name() const
    {
        std::ostringstream oss;
        oss << "infiltration_" << Model::name();
        return oss.str();
    }
 
    void endTimeStep()
    {
#ifndef NDEBUG
        this->model().checkConservativeness();
 
        // Calculate storage terms
        EqVector storage;
        this->model().globalStorage(storage);
 
        // Write mass balance information for rank 0
        if (this->gridView().comm().rank() == 0) {
            std::cout << "Storage: " << storage << std::endl << std::flush;
        }
#endif // NDEBUG
    }
 
    template <class Context>
    Scalar temperature(const Context& /*context*/,
                       unsigned /*spaceIdx*/,
                       unsigned /*timeIdx*/) const
    { return temperature_; }
 
    template <class Context>
    const DimMatrix&
    intrinsicPermeability(const Context& context,
                          unsigned spaceIdx,
                          unsigned timeIdx) const
    {
        const GlobalPosition& pos = context.pos(spaceIdx, timeIdx);
        if (isFineMaterial_(pos))
            return fineK_;
        return coarseK_;
    }
 
    template <class Context>
    Scalar porosity(const Context& /*context*/,
                    unsigned /*spaceIdx*/,
                    unsigned /*timeIdx*/) const
    { return porosity_; }
 
    template <class Context>
    const MaterialLawParams&
    materialLawParams(const Context& /*context*/,
                      unsigned /*spaceIdx*/,
                      unsigned /*timeIdx*/) const
    { return materialParams_; }
 
 
 
    template <class Context>
    void boundary(BoundaryRateVector& values,
                  const Context& context,
                  unsigned spaceIdx,
                  unsigned timeIdx) const
    {
        const auto& pos = context.pos(spaceIdx, timeIdx);
 
        if (onLeftBoundary_(pos) || onRightBoundary_(pos)) {
            Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
 
            initialFluidState_(fs, context, spaceIdx, timeIdx);
 
            values.setFreeFlow(context, spaceIdx, timeIdx, fs);
        }
        else if (onInlet_(pos)) {
            RateVector molarRate(0.0);
            molarRate[conti0EqIdx + NAPLIdx] = -0.001;
 
            values.setMolarRate(molarRate);
            Opm::Valgrind::CheckDefined(values);
        }
        else
            values.setNoFlow();
    }
 
 
 
    template <class Context>
    void initial(PrimaryVariables& values,
                 const Context& context,
                 unsigned spaceIdx,
                 unsigned timeIdx) const
    {
        Opm::CompositionalFluidState<Scalar, FluidSystem> fs;
 
        initialFluidState_(fs, context, spaceIdx, timeIdx);
 
        const auto& matParams = materialLawParams(context, spaceIdx, timeIdx);
        values.assignMassConservative(fs, matParams, /*inEquilibrium=*/true);
        Opm::Valgrind::CheckDefined(values);
    }
 
    template <class Context>
    void source(RateVector& rate,
                const Context& /*context*/,
                unsigned /*spaceIdx*/,
                unsigned /*timeIdx*/) const
    { rate = Scalar(0.0); }
 
 
private:
    bool onLeftBoundary_(const GlobalPosition& pos) const
    { return pos[0] < eps_; }
 
    bool onRightBoundary_(const GlobalPosition& pos) const
    { return pos[0] > this->boundingBoxMax()[0] - eps_; }
 
    bool onLowerBoundary_(const GlobalPosition& pos) const
    { return pos[1] < eps_; }
 
    bool onUpperBoundary_(const GlobalPosition& pos) const
    { return pos[1] > this->boundingBoxMax()[1] - eps_; }
 
    bool onInlet_(const GlobalPosition& pos) const
    { return onUpperBoundary_(pos) && 50 < pos[0] && pos[0] < 75; }
 
    template <class FluidState, class Context>
    void initialFluidState_(FluidState& fs, const Context& context,
                            unsigned spaceIdx, unsigned timeIdx) const
    {
        const GlobalPosition pos = context.pos(spaceIdx, timeIdx);
        Scalar y = pos[1];
        Scalar x = pos[0];
 
        Scalar densityW = 1000.0;
        Scalar pc = 9.81 * densityW * (y - (5 - 5e-4 * x));
        if (pc < 0.0)
            pc = 0.0;
 
        // set pressures
        const auto& matParams = materialLawParams(context, spaceIdx, timeIdx);
        Scalar Sw = matParams.Swr();
        Scalar Swr = matParams.Swr();
        Scalar Sgr = matParams.Sgr();
        if (Sw < Swr)
            Sw = Swr;
        if (Sw > 1 - Sgr)
            Sw = 1 - Sgr;
        Scalar Sg = 1 - Sw;
 
        Opm::Valgrind::CheckDefined(Sw);
        Opm::Valgrind::CheckDefined(Sg);
 
        fs.setSaturation(waterPhaseIdx, Sw);
        fs.setSaturation(gasPhaseIdx, Sg);
        fs.setSaturation(naplPhaseIdx, 0);
 
        // set temperature of all phases
        fs.setTemperature(temperature_);
 
        // compute pressures
        Scalar pcAll[numPhases];
        Scalar pg = 1e5;
        if (onLeftBoundary_(pos))
            pg += 10e3;
        MaterialLaw::capillaryPressures(pcAll, matParams, fs);
        for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx)
            fs.setPressure(phaseIdx, pg + (pcAll[phaseIdx] - pcAll[gasPhaseIdx]));
 
        // set composition of gas phase
        fs.setMoleFraction(gasPhaseIdx, H2OIdx, 1e-6);
        fs.setMoleFraction(gasPhaseIdx, airIdx,
                           1 - fs.moleFraction(gasPhaseIdx, H2OIdx));
        fs.setMoleFraction(gasPhaseIdx, NAPLIdx, 0);
 
        using CFRP = Opm::ComputeFromReferencePhase<Scalar, FluidSystem>;
        typename FluidSystem::template ParameterCache<Scalar> paramCache;
        CFRP::solve(fs, paramCache, gasPhaseIdx,
                    /*setViscosity=*/true,
                    /*setEnthalpy=*/false);
 
        fs.setMoleFraction(waterPhaseIdx, H2OIdx,
                           1 - fs.moleFraction(waterPhaseIdx, H2OIdx));
    }
 
    bool isFineMaterial_(const GlobalPosition& pos) const
    {  return 70. <= pos[0] && pos[0] <= 85. && 7.0 <= pos[1] && pos[1] <= 7.50; }
 
    DimMatrix fineK_;
    DimMatrix coarseK_;
 
    Scalar porosity_;
 
    MaterialLawParams materialParams_;
 
    Scalar temperature_;
    Scalar eps_;
};
} // namespace Opm
 
#endif