discretefractureintensivequantities.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_DISCRETE_FRACTURE_INTENSIVE_QUANTITIES_HH
#define EWOMS_DISCRETE_FRACTURE_INTENSIVE_QUANTITIES_HH
 
#include <opm/material/common/Valgrind.hpp>
 
#include <opm/models/immiscible/immiscibleintensivequantities.hh>
 
#include <algorithm>
#include <array>
 
namespace Opm {

template <class TypeTag>
class DiscreteFractureIntensiveQuantities : public ImmiscibleIntensiveQuantities<TypeTag>
{
    using ParentType = ImmiscibleIntensiveQuantities<TypeTag>;
    using Scalar = GetPropType<TypeTag, Properties::Scalar>;
    using MaterialLaw = GetPropType<TypeTag, Properties::MaterialLaw>;
    using ElementContext = GetPropType<TypeTag, Properties::ElementContext>;
    using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>;
    using GridView = GetPropType<TypeTag, Properties::GridView>;
 
    enum { numPhases = FluidSystem::numPhases };
    enum { dimWorld = GridView::dimensionworld };
 
    static_assert(dimWorld == 2, "The fracture module currently is only "
                                 "implemented for the 2D case!");
    static_assert(numPhases == 2, "The fracture module currently is only "
                                  "implemented for two fluid phases!");
 
    enum { enableEnergy = getPropValue<TypeTag, Properties::EnableEnergy>() };
    enum { wettingPhaseIdx = MaterialLaw::wettingPhaseIdx };
    enum { nonWettingPhaseIdx = MaterialLaw::nonWettingPhaseIdx };
    using DimMatrix = Dune::FieldMatrix<Scalar, dimWorld, dimWorld>;
    using FluidState = ImmiscibleFluidState<Scalar, FluidSystem,
                                            /*storeEnthalpy=*/enableEnergy>;
 
public:
    DiscreteFractureIntensiveQuantities() = default;
    DiscreteFractureIntensiveQuantities(const DiscreteFractureIntensiveQuantities&) = default;
    DiscreteFractureIntensiveQuantities& operator=(const DiscreteFractureIntensiveQuantities&) = default;

    void update(const ElementContext& elemCtx, unsigned vertexIdx, unsigned timeIdx)
    {
        ParentType::update(elemCtx, vertexIdx, timeIdx);
 
        const auto& problem = elemCtx.problem();
        const auto& fractureMapper = problem.fractureMapper();
        const unsigned globalVertexIdx = elemCtx.globalSpaceIndex(vertexIdx, timeIdx);
 
        Valgrind::SetUndefined(fractureFluidState_);
        Valgrind::SetUndefined(fractureVolume_);
        Valgrind::SetUndefined(fracturePorosity_);
        Valgrind::SetUndefined(fractureIntrinsicPermeability_);
        Valgrind::SetUndefined(fractureRelativePermeabilities_);
 
        // do nothing if there is no fracture within the current degree of freedom
        if (!fractureMapper.isFractureVertex(globalVertexIdx)) {
            fractureVolume_ = 0;
            return;
        }
 
        // Make sure that the wetting saturation in the matrix fluid
        // state does not get larger than 1
        const Scalar SwMatrix =
            std::min<Scalar>(1.0, this->fluidState_.saturation(wettingPhaseIdx));
        this->fluidState_.setSaturation(wettingPhaseIdx, SwMatrix);
        this->fluidState_.setSaturation(nonWettingPhaseIdx, 1 - SwMatrix);
 
        // retrieve the facture width and intrinsic permeability from
        // the problem
        fracturePorosity_ =
            problem.fracturePorosity(elemCtx, vertexIdx, timeIdx);
        fractureIntrinsicPermeability_ =
            problem.fractureIntrinsicPermeability(elemCtx, vertexIdx, timeIdx);
 
        // compute the fracture volume for the current sub-control
        // volume. note, that we don't take overlaps of fractures into
        // account for this.
        fractureVolume_ = 0;
        const auto& vertexPos = elemCtx.pos(vertexIdx, timeIdx);
        for (unsigned vertex2Idx = 0; vertex2Idx < elemCtx.numDof(/*timeIdx=*/0); ++vertex2Idx) {
            const unsigned globalVertex2Idx = elemCtx.globalSpaceIndex(vertex2Idx, timeIdx);
 
            if (vertexIdx == vertex2Idx ||
                !fractureMapper.isFractureEdge(globalVertexIdx, globalVertex2Idx))
            {
                continue;
            }
 
            const Scalar fractureWidth =
                problem.fractureWidth(elemCtx, vertexIdx, vertex2Idx, timeIdx);
 
            auto distVec = elemCtx.pos(vertex2Idx, timeIdx);
            distVec -= vertexPos;
 
            const Scalar edgeLength = distVec.two_norm();
 
            // the fracture is always adjacent to two sub-control
            // volumes of the control volume, so when calculating the
            // volume of the fracture which gets attributed to one
            // SCV, the fracture width needs to divided by 2. Also,
            // only half of the edge is located in the current control
            // volume, so its length also needs to divided by 2.
            fractureVolume_ += (fractureWidth / 2) * (edgeLength / 2);
        }

        // set the fluid state for the fracture.
 
        // start with the same fluid state as in the matrix. This
        // implies equal saturations, pressures, temperatures,
        // enthalpies, etc.
        fractureFluidState_.assign(this->fluidState_);
 
        // ask the problem for the material law parameters of the
        // fracture.
        const auto& fractureMatParams =
            problem.fractureMaterialLawParams(elemCtx, vertexIdx, timeIdx);
 
        // calculate the fracture saturations which would be required
        // to be consistent with the pressures
        std::array<Scalar, numPhases> saturations;
        MaterialLaw::saturations(saturations, fractureMatParams,
                                 fractureFluidState_);
        for (unsigned phaseIdx = 0; phaseIdx < numPhases; ++phaseIdx) {
            fractureFluidState_.setSaturation(phaseIdx, saturations[phaseIdx]);
        }
 
        // Make sure that the wetting saturation in the fracture does
        // not get negative
        const Scalar SwFracture =
            std::max<Scalar>(0.0, fractureFluidState_.saturation(wettingPhaseIdx));
        fractureFluidState_.setSaturation(wettingPhaseIdx, SwFracture);
        fractureFluidState_.setSaturation(nonWettingPhaseIdx, 1 - SwFracture);
 
        // calculate the relative permeabilities of the fracture
        MaterialLaw::relativePermeabilities(fractureRelativePermeabilities_,
                                            fractureMatParams,
                                            fractureFluidState_);
 
        // make sure that valgrind complains if the fluid state is not
        // fully defined.
        fractureFluidState_.checkDefined();
    }
 
public:
    Scalar fractureRelativePermeability(unsigned phaseIdx) const
    { return fractureRelativePermeabilities_[phaseIdx]; }

    Scalar fractureMobility(unsigned phaseIdx) const
    {
        return fractureRelativePermeabilities_[phaseIdx] /
               fractureFluidState_.viscosity(phaseIdx);
    }

    Scalar fracturePorosity() const
    { return fracturePorosity_; }

    const DimMatrix& fractureIntrinsicPermeability() const
    { return fractureIntrinsicPermeability_; }

    Scalar fractureVolume() const
    { return fractureVolume_; }

    const FluidState& fractureFluidState() const
    { return fractureFluidState_; }
 
protected:
    FluidState fractureFluidState_;
    Scalar fractureVolume_;
    Scalar fracturePorosity_;
    DimMatrix fractureIntrinsicPermeability_;
    std::array<Scalar, numPhases> fractureRelativePermeabilities_;
};
 
} // namespace Opm
 
#endif