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https://github.com/OPM/opm-simulators.git
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366 lines
16 KiB
C++
366 lines
16 KiB
C++
/*
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Copyright 2017 TNO - Heat Transfer & Fluid Dynamics, Modelling & Optimization of the Subsurface
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Copyright 2017 Statoil ASA.
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This file is part of the Open Porous Media project (OPM).
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OPM is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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OPM is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with OPM. If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef OPM_AQUIFERCT_HEADER_INCLUDED
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#define OPM_AQUIFERCT_HEADER_INCLUDED
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#include <opm/parser/eclipse/EclipseState/AquiferCT.hpp>
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#include <opm/parser/eclipse/EclipseState/Aquancon.hpp>
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#include <opm/autodiff/BlackoilAquiferModel.hpp>
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#include <opm/common/utility/numeric/linearInterpolation.hpp>
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#include <opm/material/densead/Math.hpp>
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#include <opm/material/densead/Evaluation.hpp>
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#include <opm/material/fluidstates/BlackOilFluidState.hpp>
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#include <vector>
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#include <algorithm>
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namespace Opm
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{
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template<typename TypeTag>
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class AquiferCarterTracy
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{
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public:
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typedef typename GET_PROP_TYPE(TypeTag, Simulator) Simulator;
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typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem;
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typedef typename GET_PROP_TYPE(TypeTag, Indices) BlackoilIndices;
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typedef typename GET_PROP_TYPE(TypeTag, IntensiveQuantities) IntensiveQuantities;
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static const int numEq = BlackoilIndices::numEq;
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typedef double Scalar;
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typedef DenseAd::Evaluation<double, /*size=*/numEq> Eval;
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typedef Opm::BlackOilFluidState<Eval, FluidSystem> FluidState;
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static const auto waterCompIdx = FluidSystem::waterCompIdx;
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static const auto waterPhaseIdx = FluidSystem::waterPhaseIdx;
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AquiferCarterTracy( const AquiferCT::AQUCT_data& aquct_data,
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const Aquancon::AquanconOutput& connection,
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Simulator& ebosSimulator )
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: ebos_simulator_ (ebosSimulator),
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aquct_data_ (aquct_data),
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gravity_ (ebos_simulator_.problem().gravity()[2])
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{
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initQuantities(connection);
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}
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inline void assembleAquiferEq(const SimulatorTimerInterface& timer)
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{
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auto& ebosJac = ebos_simulator_.model().linearizer().matrix();
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auto& ebosResid = ebos_simulator_.model().linearizer().residual();
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size_t cellID;
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for ( size_t idx = 0; idx < cell_idx_.size(); ++idx )
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{
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Eval qinflow = 0.0;
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cellID = cell_idx_.at(idx);
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// We are dereferencing the value of IntensiveQuantities because cachedIntensiveQuantities return a const pointer to
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// IntensiveQuantities of that particular cell_id
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const IntensiveQuantities intQuants = *(ebos_simulator_.model().cachedIntensiveQuantities(cellID, /*timeIdx=*/ 0));
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// This is the pressure at td + dt
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updateCellPressure(pressure_current_,idx,intQuants);
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updateCellDensity(idx,intQuants);
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calculateInflowRate(idx, timer);
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qinflow = Qai_.at(idx);
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ebosResid[cellID][waterCompIdx] -= qinflow.value();
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for (int pvIdx = 0; pvIdx < numEq; ++pvIdx)
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{
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// also need to consider the efficiency factor when manipulating the jacobians.
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ebosJac[cellID][cellID][waterCompIdx][pvIdx] -= qinflow.derivative(pvIdx);
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}
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}
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}
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inline void beforeTimeStep(const SimulatorTimerInterface& timer)
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{
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auto cellID = cell_idx_.begin();
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size_t idx;
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for ( idx = 0; cellID != cell_idx_.end(); ++cellID, ++idx )
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{
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const auto& intQuants = *(ebos_simulator_.model().cachedIntensiveQuantities(*cellID, /*timeIdx=*/ 0));
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updateCellPressure(pressure_previous_ ,idx,intQuants);
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}
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}
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inline void afterTimeStep(const SimulatorTimerInterface& timer)
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{
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for (auto Qai = Qai_.begin(); Qai != Qai_.end(); ++Qai)
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{
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W_flux_ += (*Qai)*timer.currentStepLength();
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}
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}
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private:
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Simulator& ebos_simulator_;
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// Grid variables
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std::vector<size_t> cell_idx_;
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std::vector<Scalar> faceArea_connected_;
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// Quantities at each grid id
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std::vector<Scalar> cell_depth_;
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std::vector<Scalar> pressure_previous_;
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std::vector<Eval> pressure_current_;
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std::vector<Eval> Qai_;
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std::vector<Eval> rhow_;
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std::vector<Scalar> alphai_;
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// Variables constants
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const AquiferCT::AQUCT_data aquct_data_;
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Scalar mu_w_ , //water viscosity
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beta_ , // Influx constant
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Tc_ , // Time constant
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pa0_ , // initial aquifer pressure
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gravity_ ; // gravitational acceleration
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Eval W_flux_;
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inline void getInfluenceTableValues(Scalar& pitd, Scalar& pitd_prime, const Scalar& td)
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{
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// We use the opm-common numeric linear interpolator
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pitd = Opm::linearInterpolation(aquct_data_.td, aquct_data_.pi, td);
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pitd_prime = Opm::linearInterpolationDerivative(aquct_data_.td, aquct_data_.pi, td);
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}
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inline void initQuantities(const Aquancon::AquanconOutput& connection)
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{
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// We reset the cumulative flux at the start of any simulation, so, W_flux = 0
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W_flux_ = 0.;
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// We next get our connections to the aquifer and initialize these quantities using the initialize_connections function
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initializeConnections(connection);
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calculateAquiferCondition();
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calculateAquiferConstants();
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pressure_previous_.resize(cell_idx_.size(), 0.);
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pressure_current_.resize(cell_idx_.size(), 0.);
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Qai_.resize(cell_idx_.size(), 0.0);
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}
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inline void updateCellPressure(std::vector<Eval>& pressure_water, const int idx, const IntensiveQuantities& intQuants)
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{
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const auto& fs = intQuants.fluidState();
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pressure_water.at(idx) = fs.pressure(waterPhaseIdx);
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}
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inline void updateCellPressure(std::vector<Scalar>& pressure_water, const int idx, const IntensiveQuantities& intQuants)
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{
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const auto& fs = intQuants.fluidState();
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pressure_water.at(idx) = fs.pressure(waterPhaseIdx).value();
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}
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inline void updateCellDensity(const int idx, const IntensiveQuantities& intQuants)
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{
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const auto& fs = intQuants.fluidState();
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rhow_.at(idx) = fs.density(waterPhaseIdx);
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}
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inline Scalar dpai(int idx)
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{
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Scalar dp = pa0_ + rhow_.at(idx).value()*gravity_*(cell_depth_.at(idx) - aquct_data_.d0) - pressure_previous_.at(idx);
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return dp;
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}
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// This function implements Eqs 5.8 and 5.9 of the EclipseTechnicalDescription
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inline void calculateEqnConstants(Scalar& a, Scalar& b, const int idx, const SimulatorTimerInterface& timer)
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{
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const Scalar td_plus_dt = (timer.currentStepLength() + timer.simulationTimeElapsed()) / Tc_;
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const Scalar td = timer.simulationTimeElapsed() / Tc_;
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Scalar PItdprime = 0.;
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Scalar PItd = 0.;
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getInfluenceTableValues(PItd, PItdprime, td_plus_dt);
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a = 1.0/Tc_ * ( (beta_ * dpai(idx)) - (W_flux_.value() * PItdprime) ) / ( PItd - td*PItdprime );
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b = beta_ / (Tc_ * ( PItd - td*PItdprime));
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}
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// This function implements Eq 5.7 of the EclipseTechnicalDescription
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inline void calculateInflowRate(int idx, const SimulatorTimerInterface& timer)
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{
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Scalar a, b;
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calculateEqnConstants(a,b,idx,timer);
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Qai_.at(idx) = alphai_.at(idx)*( a - b * ( pressure_current_.at(idx) - pressure_previous_.at(idx) ) );
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}
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inline void calculateAquiferConstants()
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{
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// We calculate the influx constant
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beta_ = aquct_data_.c2 * aquct_data_.h
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* aquct_data_.theta * aquct_data_.phi_aq
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* aquct_data_.C_t
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* aquct_data_.r_o * aquct_data_.r_o;
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// We calculate the time constant
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Tc_ = mu_w_ * aquct_data_.phi_aq
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* aquct_data_.C_t
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* aquct_data_.r_o * aquct_data_.r_o
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/ ( aquct_data_.k_a * aquct_data_.c1 );
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}
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// This function is used to initialize and calculate the alpha_i for each grid connection to the aquifer
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inline void initializeConnections(const Aquancon::AquanconOutput& connection)
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{
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const auto& eclState = ebos_simulator_.vanguard().eclState();
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const auto& ugrid = ebos_simulator_.vanguard().grid();
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const auto& grid = eclState.getInputGrid();
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cell_idx_ = connection.global_index;
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auto globalCellIdx = ugrid.globalCell();
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assert( cell_idx_ == connection.global_index);
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assert( (cell_idx_.size() == connection.influx_coeff.size()) );
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assert( (connection.influx_coeff.size() == connection.influx_multiplier.size()) );
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assert( (connection.influx_multiplier.size() == connection.reservoir_face_dir.size()) );
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// We hack the cell depth values for now. We can actually get it from elementcontext pos
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cell_depth_.resize(cell_idx_.size(), aquct_data_.d0);
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alphai_.resize(cell_idx_.size(), 1.0);
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faceArea_connected_.resize(cell_idx_.size(),0.0);
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Scalar faceArea;
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auto cell2Faces = Opm::UgGridHelpers::cell2Faces(ugrid);
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auto faceCells = Opm::AutoDiffGrid::faceCells(ugrid);
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// Translate the C face tag into the enum used by opm-parser's TransMult class
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Opm::FaceDir::DirEnum faceDirection;
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// denom_face_areas is the sum of the areas connected to an aquifer
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Scalar denom_face_areas = 0.;
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for (size_t idx = 0; idx < cell_idx_.size(); ++idx)
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{
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auto cellFacesRange = cell2Faces[cell_idx_.at(idx)];
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for(auto cellFaceIter = cellFacesRange.begin(); cellFaceIter != cellFacesRange.end(); ++cellFaceIter)
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{
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// The index of the face in the compressed grid
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const int faceIdx = *cellFaceIter;
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// the logically-Cartesian direction of the face
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const int faceTag = Opm::UgGridHelpers::faceTag(ugrid, cellFaceIter);
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switch(faceTag)
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{
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case 0: faceDirection = Opm::FaceDir::XMinus;
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break;
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case 1: faceDirection = Opm::FaceDir::XPlus;
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break;
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case 2: faceDirection = Opm::FaceDir::YMinus;
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break;
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case 3: faceDirection = Opm::FaceDir::YPlus;
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break;
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case 4: faceDirection = Opm::FaceDir::ZMinus;
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break;
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case 5: faceDirection = Opm::FaceDir::ZPlus;
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break;
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default: OPM_THROW(Opm::NumericalIssue,"Initialization of Aquifer Carter Tracy problem. Make sure faceTag is correctly defined");
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}
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if (faceDirection == connection.reservoir_face_dir.at(idx))
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{
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// Check now if the face is outside of the reservoir, or if it adjoins an inactive cell
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// Do not make the connection if the product of the two cellIdx > 0. This is because the
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// face is within the reservoir/not connected to boundary. (We still have yet to check for inactive cell adjoining)
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faceArea = (faceCells(faceIdx,0)*faceCells(faceIdx,1) > 0)? 0. : Opm::UgGridHelpers::faceArea(ugrid, faceIdx);
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faceArea_connected_.at(idx) = faceArea;
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denom_face_areas += ( connection.influx_multiplier.at(idx) * faceArea_connected_.at(idx) );
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}
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}
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auto cellCenter = grid.getCellCenter(cell_idx_.at(idx));
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cell_depth_.at(idx) = cellCenter[2];
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}
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for (size_t idx = 0; idx < cell_idx_.size(); ++idx)
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{
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alphai_.at(idx) = ( connection.influx_multiplier.at(idx) * faceArea_connected_.at(idx) )/denom_face_areas;
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}
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}
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inline void calculateAquiferCondition()
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{
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int pvttableIdx = aquct_data_.pvttableID - 1;
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rhow_.resize(cell_idx_.size(),0.);
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if (aquct_data_.p0 < 1.0)
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{
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pa0_ = calculateReservoirEquilibrium();
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}
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else
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{
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pa0_ = aquct_data_.p0;
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}
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// Initialize a FluidState object first
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FluidState fs_aquifer;
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// We use the temperature of the first cell connected to the aquifer
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// Here we copy the fluidstate of the first cell, so we do not accidentally mess up the reservoir fs
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fs_aquifer.assign( ebos_simulator_.model().cachedIntensiveQuantities(cell_idx_.at(0), /*timeIdx=*/ 0)->fluidState() );
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Eval temperature_aq, pa0_mean;
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temperature_aq = fs_aquifer.temperature(0);
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pa0_mean = pa0_;
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Eval mu_w_aquifer = FluidSystem::waterPvt().viscosity(pvttableIdx, temperature_aq, pa0_mean);
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mu_w_ = mu_w_aquifer.value();
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}
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// This function is for calculating the aquifer properties from equilibrium state with the reservoir
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inline Scalar calculateReservoirEquilibrium()
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{
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// Since the global_indices are the reservoir index, we just need to extract the fluidstate at those indices
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std::vector<Scalar> pw_aquifer;
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Scalar water_pressure_reservoir;
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for (size_t idx = 0; idx < cell_idx_.size(); ++idx)
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{
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size_t cellIDx = cell_idx_.at(idx);
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const auto& intQuants = *(ebos_simulator_.model().cachedIntensiveQuantities(cellIDx, /*timeIdx=*/ 0));
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const auto& fs = intQuants.fluidState();
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water_pressure_reservoir = fs.pressure(waterPhaseIdx).value();
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rhow_.at(idx) = fs.density(waterPhaseIdx);
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pw_aquifer.push_back( (water_pressure_reservoir - rhow_.at(idx).value()*gravity_*(cell_depth_.at(idx) - aquct_data_.d0))*alphai_.at(idx) );
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}
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// We take the average of the calculated equilibrium pressures.
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Scalar aquifer_pres_avg = std::accumulate(pw_aquifer.begin(), pw_aquifer.end(), 0.)/pw_aquifer.size();
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return aquifer_pres_avg;
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}
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}; // class AquiferCarterTracy
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} // namespace Opm
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#endif |