/* Copyright 2017 TNO - Heat Transfer & Fluid Dynamics, Modelling & Optimization of the Subsurface Copyright 2017 Statoil ASA. 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 3 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 . */ #ifndef OPM_AQUIFETP_HEADER_INCLUDED #define OPM_AQUIFETP_HEADER_INCLUDED #include #include #include #include #include #include #include #include #include #include #include namespace Opm { template class AquiferFetkovich { public: typedef typename GET_PROP_TYPE(TypeTag, Simulator) Simulator; typedef typename GET_PROP_TYPE(TypeTag, ElementContext) ElementContext; typedef typename GET_PROP_TYPE(TypeTag, FluidSystem) FluidSystem; typedef typename GET_PROP_TYPE(TypeTag, Indices) BlackoilIndices; typedef typename GET_PROP_TYPE(TypeTag, RateVector) RateVector; typedef typename GET_PROP_TYPE(TypeTag, IntensiveQuantities) IntensiveQuantities; enum { enableTemperature = GET_PROP_VALUE(TypeTag, EnableTemperature) }; enum { enableEnergy = GET_PROP_VALUE(TypeTag, EnableEnergy) }; static const int numEq = BlackoilIndices::numEq; typedef double Scalar; typedef DenseAd::Evaluation Eval; typedef Opm::BlackOilFluidState FluidState; static const auto waterCompIdx = FluidSystem::waterCompIdx; static const auto waterPhaseIdx = FluidSystem::waterPhaseIdx; AquiferFetkovich( const Aquifetp::AQUFETP_data& aqufetp_data, const Aquancon::AquanconOutput& connection, const std::unordered_map& cartesian_to_compressed, const Simulator& ebosSimulator) : ebos_simulator_ (ebosSimulator) , aqufetp_data_ (aqufetp_data) , cartesian_to_compressed_(cartesian_to_compressed) , connection_ (connection) {} void initialSolutionApplied() { initQuantities(connection_); } void beginTimeStep() { ElementContext elemCtx(ebos_simulator_); auto elemIt = ebos_simulator_.gridView().template begin<0>(); const auto& elemEndIt = ebos_simulator_.gridView().template end<0>(); for (; elemIt != elemEndIt; ++elemIt) { const auto& elem = *elemIt; elemCtx.updatePrimaryStencil(elem); int cellIdx = elemCtx.globalSpaceIndex(0, 0); int idx = cellToConnectionIdx_[cellIdx]; if (idx < 0) continue; elemCtx.updateIntensiveQuantities(0); const auto& iq = elemCtx.intensiveQuantities(0, 0); pressure_previous_[idx] = Opm::getValue(iq.fluidState().pressure(waterPhaseIdx)); } } template void addToSource(RateVector& rates, const Context& context, unsigned spaceIdx, unsigned timeIdx) { unsigned cellIdx = context.globalSpaceIndex(spaceIdx, timeIdx); int idx = cellToConnectionIdx_[cellIdx]; if (idx < 0) return; // We are dereferencing the value of IntensiveQuantities because cachedIntensiveQuantities return a const pointer to // IntensiveQuantities of that particular cell_id const IntensiveQuantities intQuants = context.intensiveQuantities(spaceIdx, timeIdx); // This is the pressure at td + dt updateCellPressure(pressure_current_,idx,intQuants); updateCellDensity(idx,intQuants); calculateInflowRate(idx, context.simulator()); rates[BlackoilIndices::conti0EqIdx + FluidSystem::waterCompIdx] += Qai_[idx]/context.dofVolume(spaceIdx, timeIdx); } void endTimeStep() { for (const auto& Qai: Qai_) { W_flux_ += Qai*ebos_simulator_.timeStepSize(); aquifer_pressure_ = aquiferPressure(); } } private: const Simulator& ebos_simulator_; const std::unordered_map& cartesian_to_compressed_; // Grid variables std::vector cell_idx_; std::vector faceArea_connected_; // Quantities at each grid id std::vector cell_depth_; std::vector pressure_previous_; std::vector pressure_current_; std::vector Qai_; std::vector rhow_; std::vector alphai_; std::vector cellToConnectionIdx_; // Variables constants const Aquifetp::AQUFETP_data aqufetp_data_; const Aquancon::AquanconOutput connection_; Scalar mu_w_; //water viscosity Scalar Tc_; // Time Constant Scalar pa0_; // initial aquifer pressure Scalar aquifer_pressure_; // aquifer pressure Eval W_flux_; Scalar gravity_() const { return ebos_simulator_.problem().gravity()[2]; } inline void initQuantities(const Aquancon::AquanconOutput& connection) { // We reset the cumulative flux at the start of any simulation, so, W_flux = 0 W_flux_ = 0.; // We next get our connections to the aquifer and initialize these quantities using the initialize_connections function initializeConnections(connection); calculateAquiferCondition(); pressure_previous_.resize(cell_idx_.size(), 0.); pressure_current_.resize(cell_idx_.size(), 0.); Qai_.resize(cell_idx_.size(), 0.0); } inline void updateCellPressure(std::vector& pressure_water, const int idx, const IntensiveQuantities& intQuants) { const auto& fs = intQuants.fluidState(); pressure_water.at(idx) = fs.pressure(waterPhaseIdx); } inline void updateCellPressure(std::vector& pressure_water, const int idx, const IntensiveQuantities& intQuants) { const auto& fs = intQuants.fluidState(); pressure_water.at(idx) = fs.pressure(waterPhaseIdx).value(); } inline void updateCellDensity(const int idx, const IntensiveQuantities& intQuants) { const auto& fs = intQuants.fluidState(); rhow_.at(idx) = fs.density(waterPhaseIdx); } inline Scalar dpai(int idx) { Scalar dp = aquifer_pressure_ + rhow_.at(idx).value()*gravity_()*(cell_depth_.at(idx) - aqufetp_data_.d0) - pressure_current_.at(idx).value() ; return dp; } // This function implements Eq 5.12 of the EclipseTechnicalDescription inline Scalar aquiferPressure() { Scalar Flux = W_flux_.value(); Scalar pa_ = pa0_ - Flux / ( aqufetp_data_.C_t * aqufetp_data_.V0 ); return pa_; } // This function implements Eq 5.14 of the EclipseTechnicalDescription inline void calculateInflowRate(int idx, const Simulator& simulator) { Tc_ = ( aqufetp_data_.C_t * aqufetp_data_.V0 ) / aqufetp_data_.J ; Scalar td_Tc_ = simulator.timeStepSize() / Tc_ ; Scalar exp_ = (1 - exp(-td_Tc_)) / td_Tc_; Qai_.at(idx) = alphai_.at(idx) * aqufetp_data_.J * dpai(idx) * exp_; } template inline const double getFaceArea(const faceCellType& faceCells, const ugridType& ugrid, const int faceIdx, const int idx, const Aquancon::AquanconOutput& connection) const { // Check now if the face is outside of the reservoir, or if it adjoins an inactive cell // Do not make the connection if the product of the two cellIdx > 0. This is because the // face is within the reservoir/not connected to boundary. (We still have yet to check for inactive cell adjoining) double faceArea = 0.; const auto cellNeighbour0 = faceCells(faceIdx,0); const auto cellNeighbour1 = faceCells(faceIdx,1); const auto defaultFaceArea = Opm::UgGridHelpers::faceArea(ugrid, faceIdx); const auto calculatedFaceArea = (!connection.influx_coeff.at(idx))? defaultFaceArea : *(connection.influx_coeff.at(idx)); faceArea = (cellNeighbour0 * cellNeighbour1 > 0)? 0. : calculatedFaceArea; if (cellNeighbour1 == 0){ faceArea = (cellNeighbour0 < 0)? faceArea : 0.; } else if (cellNeighbour0 == 0){ faceArea = (cellNeighbour1 < 0)? faceArea : 0.; } return faceArea; } // This function is used to initialize and calculate the alpha_i for each grid connection to the aquifer inline void initializeConnections(const Aquancon::AquanconOutput& connection) { const auto& eclState = ebos_simulator_.vanguard().eclState(); const auto& ugrid = ebos_simulator_.vanguard().grid(); const auto& grid = eclState.getInputGrid(); cell_idx_ = connection.global_index; auto globalCellIdx = ugrid.globalCell(); assert( cell_idx_ == connection.global_index); assert( (cell_idx_.size() == connection.influx_coeff.size()) ); assert( (connection.influx_coeff.size() == connection.influx_multiplier.size()) ); assert( (connection.influx_multiplier.size() == connection.reservoir_face_dir.size()) ); // We hack the cell depth values for now. We can actually get it from elementcontext pos cell_depth_.resize(cell_idx_.size(), aqufetp_data_.d0); alphai_.resize(cell_idx_.size(), 1.0); faceArea_connected_.resize(cell_idx_.size(),0.0); auto cell2Faces = Opm::UgGridHelpers::cell2Faces(ugrid); auto faceCells = Opm::UgGridHelpers::faceCells(ugrid); // Translate the C face tag into the enum used by opm-parser's TransMult class Opm::FaceDir::DirEnum faceDirection; // denom_face_areas is the sum of the areas connected to an aquifer Scalar denom_face_areas = 0.; cellToConnectionIdx_.resize(ebos_simulator_.gridView().size(/*codim=*/0), -1); for (size_t idx = 0; idx < cell_idx_.size(); ++idx) { const int cell_index = cartesian_to_compressed_.at(cell_idx_[idx]); cellToConnectionIdx_[cell_index] = idx; const auto cellFacesRange = cell2Faces[cell_index]; for(auto cellFaceIter = cellFacesRange.begin(); cellFaceIter != cellFacesRange.end(); ++cellFaceIter) { // The index of the face in the compressed grid const int faceIdx = *cellFaceIter; // the logically-Cartesian direction of the face const int faceTag = Opm::UgGridHelpers::faceTag(ugrid, cellFaceIter); switch(faceTag) { case 0: faceDirection = Opm::FaceDir::XMinus; break; case 1: faceDirection = Opm::FaceDir::XPlus; break; case 2: faceDirection = Opm::FaceDir::YMinus; break; case 3: faceDirection = Opm::FaceDir::YPlus; break; case 4: faceDirection = Opm::FaceDir::ZMinus; break; case 5: faceDirection = Opm::FaceDir::ZPlus; break; default: OPM_THROW(Opm::NumericalIssue,"Initialization of Aquifer Fetkovich problem. Make sure faceTag is correctly defined"); } if (faceDirection == connection.reservoir_face_dir.at(idx)) { faceArea_connected_.at(idx) = getFaceArea(faceCells, ugrid, faceIdx, idx, connection); denom_face_areas += ( connection.influx_multiplier.at(idx) * faceArea_connected_.at(idx) ); } } auto cellCenter = grid.getCellCenter(cell_idx_.at(idx)); cell_depth_.at(idx) = cellCenter[2]; } const double eps_sqrt = std::sqrt(std::numeric_limits::epsilon()); for (size_t idx = 0; idx < cell_idx_.size(); ++idx) { alphai_.at(idx) = (denom_face_areas < eps_sqrt)? // Prevent no connection NaNs due to division by zero 0. : ( connection.influx_multiplier.at(idx) * faceArea_connected_.at(idx) )/denom_face_areas; } } inline void calculateAquiferCondition() { int pvttableIdx = aqufetp_data_.pvttableID - 1; rhow_.resize(cell_idx_.size(),0.); if (!aqufetp_data_.p0) { pa0_ = calculateReservoirEquilibrium(); } else { pa0_ = *(aqufetp_data_.p0); } aquifer_pressure_ = pa0_ ; // use the thermodynamic state of the first active cell as a // reference. there might be better ways to do this... ElementContext elemCtx(ebos_simulator_); auto elemIt = ebos_simulator_.gridView().template begin(); elemCtx.updatePrimaryStencil(*elemIt); elemCtx.updatePrimaryIntensiveQuantities(/*timeIdx=*/0); const auto& iq0 = elemCtx.intensiveQuantities(/*spaceIdx=*/0, /*timeIdx=*/0); // Initialize a FluidState object first FluidState fs_aquifer; // We use the temperature of the first cell connected to the aquifer // Here we copy the fluidstate of the first cell, so we do not accidentally mess up the reservoir fs fs_aquifer.assign( iq0.fluidState() ); Eval temperature_aq, pa0_mean; temperature_aq = fs_aquifer.temperature(0); pa0_mean = pa0_; Eval mu_w_aquifer = FluidSystem::waterPvt().viscosity(pvttableIdx, temperature_aq, pa0_mean); mu_w_ = mu_w_aquifer.value(); } inline Scalar calculateReservoirEquilibrium() { // Since the global_indices are the reservoir index, we just need to extract the fluidstate at those indices std::vector pw_aquifer; Scalar water_pressure_reservoir; ElementContext elemCtx(ebos_simulator_); const auto& gridView = ebos_simulator_.gridView(); auto elemIt = gridView.template begin(); const auto& elemEndIt = gridView.template end(); for (; elemIt != elemEndIt; ++elemIt) { const auto& elem = *elemIt; elemCtx.updatePrimaryStencil(elem); size_t cellIdx = elemCtx.globalSpaceIndex(/*spaceIdx=*/0, /*timeIdx=*/0); int idx = cellToConnectionIdx_[cellIdx]; if (idx < 0) continue; elemCtx.updatePrimaryIntensiveQuantities(/*timeIdx=*/0); const auto& iq0 = elemCtx.intensiveQuantities(/*spaceIdx=*/0, /*timeIdx=*/0); const auto& fs = iq0.fluidState(); water_pressure_reservoir = fs.pressure(waterPhaseIdx).value(); rhow_[idx] = fs.density(waterPhaseIdx); pw_aquifer.push_back( (water_pressure_reservoir - rhow_[idx].value()*gravity_()*(cell_depth_[idx] - aqufetp_data_.d0))*alphai_[idx] ); } // We take the average of the calculated equilibrium pressures. Scalar aquifer_pres_avg = std::accumulate(pw_aquifer.begin(), pw_aquifer.end(), 0.)/pw_aquifer.size(); return aquifer_pres_avg; } }; //Class AquiferFetkovich } // namespace Opm #endif