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595 lines
25 KiB
C++
595 lines
25 KiB
C++
/*
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Copyright 2013, 2015 SINTEF ICT, Applied Mathematics.
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Copyright 2014, 2015 Dr. Blatt - HPC-Simulation-Software & Services
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Copyright 2014, 2015 Statoil ASA.
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Copyright 2015 NTNU
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Copyright 2015 IRIS AS
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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_BLACKOILPOLYMERMODEL_IMPL_HEADER_INCLUDED
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#define OPM_BLACKOILPOLYMERMODEL_IMPL_HEADER_INCLUDED
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#include <opm/polymer/fullyimplicit/BlackoilPolymerModel.hpp>
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#include <opm/autodiff/AutoDiffBlock.hpp>
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#include <opm/autodiff/AutoDiffHelpers.hpp>
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#include <opm/autodiff/GridHelpers.hpp>
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#include <opm/autodiff/BlackoilPropsAdInterface.hpp>
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#include <opm/autodiff/GeoProps.hpp>
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#include <opm/autodiff/WellDensitySegmented.hpp>
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#include <opm/core/grid.h>
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#include <opm/core/linalg/LinearSolverInterface.hpp>
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#include <opm/core/linalg/ParallelIstlInformation.hpp>
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#include <opm/core/props/rock/RockCompressibility.hpp>
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#include <opm/core/utility/ErrorMacros.hpp>
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#include <opm/core/utility/Exceptions.hpp>
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#include <opm/core/utility/Units.hpp>
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#include <opm/core/well_controls.h>
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#include <opm/core/utility/parameters/ParameterGroup.hpp>
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#include <cassert>
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#include <cmath>
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#include <iostream>
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#include <iomanip>
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#include <limits>
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namespace Opm {
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namespace detail {
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template <class PU>
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int polymerPos(const PU& pu)
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{
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const int maxnp = Opm::BlackoilPhases::MaxNumPhases;
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int pos = 0;
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for (int phase = 0; phase < maxnp; ++phase) {
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if (pu.phase_used[phase]) {
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pos++;
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}
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}
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return pos;
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}
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} // namespace detail
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template <class Grid>
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BlackoilPolymerModel<Grid>::BlackoilPolymerModel(const typename Base::ModelParameters& param,
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const Grid& grid,
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const BlackoilPropsAdInterface& fluid,
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const DerivedGeology& geo,
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const RockCompressibility* rock_comp_props,
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const PolymerPropsAd& polymer_props_ad,
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const Wells* wells,
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const NewtonIterationBlackoilInterface& linsolver,
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const bool has_disgas,
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const bool has_vapoil,
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const bool has_polymer,
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const bool has_plyshlog,
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const bool terminal_output)
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: Base(param, grid, fluid, geo, rock_comp_props, wells, linsolver,
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has_disgas, has_vapoil, terminal_output),
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polymer_props_ad_(polymer_props_ad),
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has_polymer_(has_polymer),
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has_plyshlog_(has_plyshlog),
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poly_pos_(detail::polymerPos(fluid.phaseUsage()))
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{
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if (has_polymer_) {
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if (!active_[Water]) {
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OPM_THROW(std::logic_error, "Polymer must solved in water!\n");
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}
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// If deck has polymer, residual_ should contain polymer equation.
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rq_.resize(fluid_.numPhases() + 1);
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residual_.material_balance_eq.resize(fluid_.numPhases() + 1, ADB::null());
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assert(poly_pos_ == fluid_.numPhases());
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}
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::
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prepareStep(const double dt,
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ReservoirState& reservoir_state,
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WellState& well_state)
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{
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Base::prepareStep(dt, reservoir_state, well_state);
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// Initial max concentration of this time step from PolymerBlackoilState.
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cmax_ = Eigen::Map<const V>(reservoir_state.maxconcentration().data(), Opm::AutoDiffGrid::numCells(grid_));
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::
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afterStep(const double /* dt */,
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ReservoirState& reservoir_state,
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WellState& /* well_state */)
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{
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computeCmax(reservoir_state);
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::makeConstantState(SolutionState& state) const
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{
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Base::makeConstantState(state);
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state.concentration = ADB::constant(state.concentration.value());
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}
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template <class Grid>
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std::vector<V>
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BlackoilPolymerModel<Grid>::variableStateInitials(const ReservoirState& x,
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const WellState& xw) const
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{
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std::vector<V> vars0 = Base::variableStateInitials(x, xw);
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assert(int(vars0.size()) == fluid_.numPhases() + 2);
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// Initial polymer concentration.
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if (has_polymer_) {
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assert (not x.concentration().empty());
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const int nc = x.concentration().size();
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const V c = Eigen::Map<const V>(&x.concentration()[0], nc);
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// Concentration belongs after other reservoir vars but before well vars.
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auto concentration_pos = vars0.begin() + fluid_.numPhases();
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assert(concentration_pos == vars0.end() - 2);
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vars0.insert(concentration_pos, c);
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}
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return vars0;
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}
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template <class Grid>
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std::vector<int>
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BlackoilPolymerModel<Grid>::variableStateIndices() const
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{
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std::vector<int> ind = Base::variableStateIndices();
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assert(ind.size() == 5);
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if (has_polymer_) {
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ind.resize(6);
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// Concentration belongs after other reservoir vars but before well vars.
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ind[Concentration] = fluid_.numPhases();
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// Concentration is pushing back the well vars.
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++ind[Qs];
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++ind[Bhp];
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}
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return ind;
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}
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template <class Grid>
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typename BlackoilPolymerModel<Grid>::SolutionState
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BlackoilPolymerModel<Grid>::variableStateExtractVars(const ReservoirState& x,
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const std::vector<int>& indices,
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std::vector<ADB>& vars) const
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{
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SolutionState state = Base::variableStateExtractVars(x, indices, vars);
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if (has_polymer_) {
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state.concentration = std::move(vars[indices[Concentration]]);
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}
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return state;
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::computeAccum(const SolutionState& state,
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const int aix )
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{
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Base::computeAccum(state, aix);
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// Compute accumulation of polymer equation only if needed.
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if (has_polymer_) {
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const ADB& press = state.pressure;
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const std::vector<ADB>& sat = state.saturation;
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const ADB& c = state.concentration;
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const ADB pv_mult = poroMult(press); // also computed in Base::computeAccum, could be optimized.
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const Opm::PhaseUsage& pu = fluid_.phaseUsage();
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// compute polymer properties.
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const ADB cmax = ADB::constant(cmax_, state.concentration.blockPattern());
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const ADB ads = polymer_props_ad_.adsorption(state.concentration, cmax);
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const double rho_rock = polymer_props_ad_.rockDensity();
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const V phi = Eigen::Map<const V>(&fluid_.porosity()[0], AutoDiffGrid::numCells(grid_));
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const double dead_pore_vol = polymer_props_ad_.deadPoreVol();
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// Compute polymer accumulation term.
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rq_[poly_pos_].accum[aix] = pv_mult * rq_[pu.phase_pos[Water]].b * sat[pu.phase_pos[Water]] * c * (1. - dead_pore_vol)
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+ pv_mult * rho_rock * (1. - phi) / phi * ads;
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}
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}
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template <class Grid>
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void BlackoilPolymerModel<Grid>::computeCmax(ReservoirState& state)
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{
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const int nc = AutoDiffGrid::numCells(grid_);
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V tmp = V::Zero(nc);
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for (int i = 0; i < nc; ++i) {
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tmp[i] = std::max(state.maxconcentration()[i], state.concentration()[i]);
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}
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std::copy(&tmp[0], &tmp[0] + nc, state.maxconcentration().begin());
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::
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assembleMassBalanceEq(const SolutionState& state)
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{
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Base::assembleMassBalanceEq(state);
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// Add polymer equation.
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if (has_polymer_) {
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residual_.material_balance_eq[poly_pos_] = pvdt_ * (rq_[poly_pos_].accum[1] - rq_[poly_pos_].accum[0])
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+ ops_.div*rq_[poly_pos_].mflux;
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}
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}
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template <class Grid>
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void BlackoilPolymerModel<Grid>::extraAddWellEq(const SolutionState& state,
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const WellState& xw,
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const std::vector<ADB>& cq_ps,
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const std::vector<ADB>& cmix_s,
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const ADB& cqt_is,
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const std::vector<int>& well_cells)
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{
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// Add well contributions to polymer mass balance equation
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if (has_polymer_) {
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const ADB mc = computeMc(state);
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const int nc = xw.polymerInflow().size();
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const V polyin = Eigen::Map<const V>(xw.polymerInflow().data(), nc);
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const V poly_in_perf = subset(polyin, well_cells);
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const V poly_mc_perf = subset(mc, well_cells).value();
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const PhaseUsage& pu = fluid_.phaseUsage();
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const ADB cq_s_poly = cq_ps[pu.phase_pos[Water]] * poly_mc_perf
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+ cmix_s[pu.phase_pos[Water]] * cqt_is * poly_in_perf;
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residual_.material_balance_eq[poly_pos_] -= superset(cq_s_poly, well_cells, nc);
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}
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}
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template <class Grid>
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void BlackoilPolymerModel<Grid>::updateState(const V& dx,
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ReservoirState& reservoir_state,
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WellState& well_state)
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{
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if (has_polymer_) {
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// Extract concentration change.
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const int np = fluid_.numPhases();
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const int nc = Opm::AutoDiffGrid::numCells(grid_);
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const V zero = V::Zero(nc);
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const int concentration_start = nc * np;
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const V dc = subset(dx, Span(nc, 1, concentration_start));
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// Create new dx with the dc part deleted.
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V modified_dx = V::Zero(dx.size() - nc);
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modified_dx.head(concentration_start) = dx.head(concentration_start);
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const int tail_len = dx.size() - concentration_start - nc;
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modified_dx.tail(tail_len) = dx.tail(tail_len);
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// Call base version.
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Base::updateState(modified_dx, reservoir_state, well_state);
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// Update concentration.
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const V c_old = Eigen::Map<const V>(&reservoir_state.concentration()[0], nc, 1);
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const V c = (c_old - dc).max(zero);
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std::copy(&c[0], &c[0] + nc, reservoir_state.concentration().begin());
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} else {
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// Just forward call to base version.
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Base::updateState(dx, reservoir_state, well_state);
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}
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}
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template <class Grid>
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void
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BlackoilPolymerModel<Grid>::computeMassFlux(const int actph ,
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const V& transi,
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const ADB& kr ,
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const ADB& phasePressure,
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const SolutionState& state)
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{
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Base::computeMassFlux(actph, transi, kr, phasePressure, state);
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// Polymer treatment.
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const int canonicalPhaseIdx = canph_[ actph ];
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if (canonicalPhaseIdx == Water) {
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if (has_polymer_) {
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const std::vector<PhasePresence>& cond = phaseCondition();
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const ADB tr_mult = transMult(state.pressure);
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const ADB mu = fluidViscosity(canonicalPhaseIdx, phasePressure, state.temperature, state.rs, state.rv, cond, cells_);
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const ADB cmax = ADB::constant(cmax_, state.concentration.blockPattern());
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const ADB mc = computeMc(state);
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const ADB krw_eff = polymer_props_ad_.effectiveRelPerm(state.concentration, cmax, kr);
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const ADB inv_wat_eff_visc = polymer_props_ad_.effectiveInvWaterVisc(state.concentration, mu.value().data());
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// Reduce mobility of water phase by relperm reduction and effective viscosity increase.
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rq_[actph].mob = tr_mult * krw_eff * inv_wat_eff_visc;
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// Compute polymer mobility.
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rq_[poly_pos_].mob = tr_mult * mc * krw_eff * inv_wat_eff_visc;
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rq_[poly_pos_].b = rq_[actph].b;
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rq_[poly_pos_].dh = rq_[actph].dh;
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UpwindSelector<double> upwind(grid_, ops_, rq_[poly_pos_].dh.value());
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// Compute polymer flux.
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rq_[poly_pos_].mflux = upwind.select(rq_[poly_pos_].b * rq_[poly_pos_].mob) * (transi * rq_[poly_pos_].dh);
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// Must recompute water flux since we have to use modified mobilities.
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rq_[ actph ].mflux = upwind.select(rq_[actph].b * rq_[actph].mob) * (transi * rq_[actph].dh);
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}
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}
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}
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template <class Grid>
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double
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BlackoilPolymerModel<Grid>::convergenceReduction(const Eigen::Array<double, Eigen::Dynamic, MaxNumPhases+1>& B,
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const Eigen::Array<double, Eigen::Dynamic, MaxNumPhases+1>& tempV,
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const Eigen::Array<double, Eigen::Dynamic, MaxNumPhases+1>& R,
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std::array<double,MaxNumPhases+1>& R_sum,
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std::array<double,MaxNumPhases+1>& maxCoeff,
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std::array<double,MaxNumPhases+1>& B_avg,
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std::vector<double>& maxNormWell,
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int nc,
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int nw) const
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{
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// Do the global reductions
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#if HAVE_MPI
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if ( linsolver_.parallelInformation().type() == typeid(ParallelISTLInformation) )
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{
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const ParallelISTLInformation& info =
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boost::any_cast<const ParallelISTLInformation&>(linsolver_.parallelInformation());
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// Compute the global number of cells and porevolume
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std::vector<int> v(nc, 1);
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auto nc_and_pv = std::tuple<int, double>(0, 0.0);
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auto nc_and_pv_operators = std::make_tuple(Opm::Reduction::makeGlobalSumFunctor<int>(),
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Opm::Reduction::makeGlobalSumFunctor<double>());
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auto nc_and_pv_containers = std::make_tuple(v, geo_.poreVolume());
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info.computeReduction(nc_and_pv_containers, nc_and_pv_operators, nc_and_pv);
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for ( int idx=0; idx<MaxNumPhases+1; ++idx )
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{
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if ((idx == MaxNumPhases && has_polymer_) || active_[idx]) { // Dealing with polymer *or* an active phase.
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auto values = std::tuple<double,double,double>(0.0 ,0.0 ,0.0);
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auto containers = std::make_tuple(B.col(idx),
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tempV.col(idx),
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R.col(idx));
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auto operators = std::make_tuple(Opm::Reduction::makeGlobalSumFunctor<double>(),
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Opm::Reduction::makeGlobalMaxFunctor<double>(),
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Opm::Reduction::makeGlobalSumFunctor<double>());
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info.computeReduction(containers, operators, values);
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B_avg[idx] = std::get<0>(values)/std::get<0>(nc_and_pv);
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maxCoeff[idx] = std::get<1>(values);
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R_sum[idx] = std::get<2>(values);
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if (idx != MaxNumPhases) { // We do not compute a well flux residual for polymer.
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maxNormWell[idx] = 0.0;
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for ( int w=0; w<nw; ++w ) {
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maxNormWell[idx] = std::max(maxNormWell[idx], std::abs(residual_.well_flux_eq.value()[nw*idx + w]));
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}
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}
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}
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else
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{
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maxNormWell[idx] = R_sum[idx] = B_avg[idx] = maxCoeff[idx] = 0.0;
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}
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}
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info.communicator().max(&maxNormWell[0], MaxNumPhases+1);
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// Compute pore volume
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return std::get<1>(nc_and_pv);
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}
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else
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#endif
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{
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for ( int idx=0; idx<MaxNumPhases+1; ++idx )
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{
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if ((idx == MaxNumPhases && has_polymer_) || active_[idx]) { // Dealing with polymer *or* an active phase.
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B_avg[idx] = B.col(idx).sum()/nc;
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maxCoeff[idx] = tempV.col(idx).maxCoeff();
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R_sum[idx] = R.col(idx).sum();
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}
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else
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{
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R_sum[idx] = B_avg[idx] = maxCoeff[idx] =0.0;
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}
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if (idx != MaxNumPhases) { // We do not compute a well flux residual for polymer.
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maxNormWell[idx] = 0.0;
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for ( int w=0; w<nw; ++w ) {
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maxNormWell[idx] = std::max(maxNormWell[idx], std::abs(residual_.well_flux_eq.value()[nw*idx + w]));
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}
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}
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}
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// Compute total pore volume
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return geo_.poreVolume().sum();
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}
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}
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template <class Grid>
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bool
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BlackoilPolymerModel<Grid>::getConvergence(const double dt, const int iteration)
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{
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const double tol_mb = param_.tolerance_mb_;
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const double tol_cnv = param_.tolerance_cnv_;
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const double tol_wells = param_.tolerance_wells_;
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const int nc = Opm::AutoDiffGrid::numCells(grid_);
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const int nw = wellsActive() ? wells().number_of_wells : 0;
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const Opm::PhaseUsage& pu = fluid_.phaseUsage();
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const V pv = geo_.poreVolume();
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const std::vector<PhasePresence> cond = phaseCondition();
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std::array<double,MaxNumPhases+1> CNV = {{0., 0., 0., 0.}};
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std::array<double,MaxNumPhases+1> R_sum = {{0., 0., 0., 0.}};
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|
std::array<double,MaxNumPhases+1> B_avg = {{0., 0., 0., 0.}};
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|
std::array<double,MaxNumPhases+1> maxCoeff = {{0., 0., 0., 0.}};
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std::array<double,MaxNumPhases+1> mass_balance_residual = {{0., 0., 0., 0.}};
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|
std::array<double,MaxNumPhases> well_flux_residual = {{0., 0., 0.}};
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|
std::size_t cols = MaxNumPhases+1; // needed to pass the correct type to Eigen
|
|
Eigen::Array<V::Scalar, Eigen::Dynamic, MaxNumPhases+1> B(nc, cols);
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|
Eigen::Array<V::Scalar, Eigen::Dynamic, MaxNumPhases+1> R(nc, cols);
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|
Eigen::Array<V::Scalar, Eigen::Dynamic, MaxNumPhases+1> tempV(nc, cols);
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|
std::vector<double> maxNormWell(MaxNumPhases);
|
|
|
|
for ( int idx=0; idx<MaxNumPhases; ++idx )
|
|
{
|
|
if (active_[idx]) {
|
|
const int pos = pu.phase_pos[idx];
|
|
const ADB& tempB = rq_[pos].b;
|
|
B.col(idx) = 1./tempB.value();
|
|
R.col(idx) = residual_.material_balance_eq[idx].value();
|
|
tempV.col(idx) = R.col(idx).abs()/pv;
|
|
}
|
|
}
|
|
if (has_polymer_) {
|
|
const ADB& tempB = rq_[poly_pos_].b;
|
|
B.col(MaxNumPhases) = 1. / tempB.value();
|
|
R.col(MaxNumPhases) = residual_.material_balance_eq[poly_pos_].value();
|
|
tempV.col(MaxNumPhases) = R.col(MaxNumPhases).abs()/pv;
|
|
}
|
|
|
|
const double pvSum = convergenceReduction(B, tempV, R, R_sum, maxCoeff, B_avg,
|
|
maxNormWell, nc, nw);
|
|
|
|
bool converged_MB = true;
|
|
bool converged_CNV = true;
|
|
bool converged_Well = true;
|
|
// Finish computation
|
|
for ( int idx=0; idx<MaxNumPhases+1; ++idx )
|
|
{
|
|
CNV[idx] = B_avg[idx] * dt * maxCoeff[idx];
|
|
mass_balance_residual[idx] = std::abs(B_avg[idx]*R_sum[idx]) * dt / pvSum;
|
|
converged_MB = converged_MB && (mass_balance_residual[idx] < tol_mb);
|
|
converged_CNV = converged_CNV && (CNV[idx] < tol_cnv);
|
|
if (idx != MaxNumPhases) { // No well flux residual for polymer.
|
|
well_flux_residual[idx] = B_avg[idx] * dt * maxNormWell[idx];
|
|
converged_Well = converged_Well && (well_flux_residual[idx] < tol_wells);
|
|
}
|
|
}
|
|
|
|
const double residualWell = detail::infinityNormWell(residual_.well_eq,
|
|
linsolver_.parallelInformation());
|
|
converged_Well = converged_Well && (residualWell < Opm::unit::barsa);
|
|
const bool converged = converged_MB && converged_CNV && converged_Well;
|
|
|
|
// if one of the residuals is NaN, throw exception, so that the solver can be restarted
|
|
if (std::isnan(mass_balance_residual[Water]) || mass_balance_residual[Water] > maxResidualAllowed() ||
|
|
std::isnan(mass_balance_residual[Oil]) || mass_balance_residual[Oil] > maxResidualAllowed() ||
|
|
std::isnan(mass_balance_residual[Gas]) || mass_balance_residual[Gas] > maxResidualAllowed() ||
|
|
std::isnan(mass_balance_residual[MaxNumPhases]) || mass_balance_residual[MaxNumPhases] > maxResidualAllowed() ||
|
|
std::isnan(CNV[Water]) || CNV[Water] > maxResidualAllowed() ||
|
|
std::isnan(CNV[Oil]) || CNV[Oil] > maxResidualAllowed() ||
|
|
std::isnan(CNV[Gas]) || CNV[Gas] > maxResidualAllowed() ||
|
|
std::isnan(CNV[MaxNumPhases]) || CNV[MaxNumPhases] > maxResidualAllowed() ||
|
|
std::isnan(well_flux_residual[Water]) || well_flux_residual[Water] > maxResidualAllowed() ||
|
|
std::isnan(well_flux_residual[Oil]) || well_flux_residual[Oil] > maxResidualAllowed() ||
|
|
std::isnan(well_flux_residual[Gas]) || well_flux_residual[Gas] > maxResidualAllowed() ||
|
|
std::isnan(residualWell) || residualWell > maxResidualAllowed() )
|
|
{
|
|
OPM_THROW(Opm::NumericalProblem,"One of the residuals is NaN or too large!");
|
|
}
|
|
|
|
if ( terminal_output_ )
|
|
{
|
|
// Only rank 0 does print to std::cout
|
|
if (iteration == 0) {
|
|
std::cout << "\nIter MB(WATER) MB(OIL) MB(GAS) MB(POLY) CNVW CNVO CNVG CNVP W-FLUX(W) W-FLUX(O) W-FLUX(G)\n";
|
|
}
|
|
const std::streamsize oprec = std::cout.precision(3);
|
|
const std::ios::fmtflags oflags = std::cout.setf(std::ios::scientific);
|
|
std::cout << std::setw(4) << iteration
|
|
<< std::setw(11) << mass_balance_residual[Water]
|
|
<< std::setw(11) << mass_balance_residual[Oil]
|
|
<< std::setw(11) << mass_balance_residual[Gas]
|
|
<< std::setw(11) << mass_balance_residual[MaxNumPhases]
|
|
<< std::setw(11) << CNV[Water]
|
|
<< std::setw(11) << CNV[Oil]
|
|
<< std::setw(11) << CNV[Gas]
|
|
<< std::setw(11) << CNV[MaxNumPhases]
|
|
<< std::setw(11) << well_flux_residual[Water]
|
|
<< std::setw(11) << well_flux_residual[Oil]
|
|
<< std::setw(11) << well_flux_residual[Gas]
|
|
<< std::endl;
|
|
std::cout.precision(oprec);
|
|
std::cout.flags(oflags);
|
|
}
|
|
return converged;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
template <class Grid>
|
|
ADB
|
|
BlackoilPolymerModel<Grid>::computeMc(const SolutionState& state) const
|
|
{
|
|
return polymer_props_ad_.polymerWaterVelocityRatio(state.concentration);
|
|
}
|
|
|
|
|
|
|
|
} // namespace Opm
|
|
|
|
#endif // OPM_BLACKOILPOLYMERMODEL_IMPL_HEADER_INCLUDED
|