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982 lines
38 KiB
C++
982 lines
38 KiB
C++
/*
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Copyright 2016 SINTEF ICT, Applied Mathematics.
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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_BLACKOILREORDERINGTRANSPORTMODEL_HEADER_INCLUDED
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#define OPM_BLACKOILREORDERINGTRANSPORTMODEL_HEADER_INCLUDED
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#include <opm/autodiff/BlackoilModelBase.hpp>
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#include <opm/autodiff/WellStateFullyImplicitBlackoil.hpp>
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#include <opm/autodiff/BlackoilModelParameters.hpp>
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#include <opm/autodiff/DebugTimeReport.hpp>
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#include <opm/autodiff/multiPhaseUpwind.hpp>
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#include <opm/core/grid.h>
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#include <opm/core/transport/reorder/reordersequence.h>
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#include <opm/core/simulator/BlackoilState.hpp>
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#include <opm/autodiff/BlackoilTransportModel.hpp>
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namespace Opm {
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namespace detail
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{
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template <typename Scalar>
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struct CreateVariable
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{
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Scalar operator()(double value, int index)
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{
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return Scalar::createVariable(value, index);
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}
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};
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template <>
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struct CreateVariable<double>
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{
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double operator()(double value, int)
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{
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return value;
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}
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};
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template <typename Scalar>
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struct CreateConstant
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{
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Scalar operator()(double value)
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{
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return Scalar::createConstant(value);
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}
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};
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template <>
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struct CreateConstant<double>
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{
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double operator()(double value)
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{
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return value;
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}
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};
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struct Connection
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{
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Connection(const int ind, const double s) : index(ind), sign(s) {}
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int index;
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double sign;
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};
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class Connections;
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class ConnectivityGraph
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{
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public:
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explicit ConnectivityGraph(const HelperOps& ops)
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: grad_(ops.grad)
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, div_(ops.div)
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{
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grad_ia_ = grad_.outerIndexPtr();
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grad_ja_ = grad_.innerIndexPtr();
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grad_sign_ = grad_.valuePtr();
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div_ia_ = div_.outerIndexPtr();
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div_ja_ = div_.innerIndexPtr();
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div_sign_ = div_.valuePtr();
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}
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Connections cellConnections(const int cell) const;
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std::array<int, 2> connectionCells(const int connection) const
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{
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const int pos = div_ia_[connection];
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assert(div_ia_[connection + 1] == pos + 2);
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const double sign1 = div_sign_[pos];
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assert(div_sign_[pos + 1] == -sign1);
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if (sign1 > 0.0) {
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return {{ div_ja_[pos], div_ja_[pos + 1] }};
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} else {
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return {{ div_ja_[pos + 1], div_ja_[pos] }};
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}
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}
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private:
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friend class Connections;
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typedef HelperOps::M M;
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const M& grad_;
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const M& div_;
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const int* grad_ia_;
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const int* grad_ja_;
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const double* grad_sign_;
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const int* div_ia_;
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const int* div_ja_;
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const double* div_sign_;
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};
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class Connections
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{
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public:
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Connections(const ConnectivityGraph& cg, const int cell) : cg_(cg), cell_(cell) {}
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int size() const
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{
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return cg_.grad_ia_[cell_ + 1] - cg_.grad_ia_[cell_];
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}
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class Iterator
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{
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public:
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Iterator(const Connections& c, const int index) : c_(c), index_(index) {}
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Iterator& operator++()
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{
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++index_;
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return *this;
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}
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bool operator!=(const Iterator& other)
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{
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assert(&c_ == &other.c_);
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return index_ != other.index_;
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}
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Connection operator*()
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{
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assert(index_ >= 0 && index_ < c_.size());
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const int pos = c_.cg_.grad_ia_[c_.cell_] + index_;
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return Connection(c_.cg_.grad_ja_[pos], -c_.cg_.grad_sign_[pos]); // Note the minus sign!
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}
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private:
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const Connections& c_;
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int index_;
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};
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Iterator begin() const { return Iterator(*this, 0); }
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Iterator end() const { return Iterator(*this, size()); }
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private:
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friend class Iterator;
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const ConnectivityGraph& cg_;
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const int cell_;
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};
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inline Connections ConnectivityGraph::cellConnections(const int cell) const
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{
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return Connections(*this, cell);
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}
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} // namespace detail
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/// A model implementation for the transport equation in three-phase black oil.
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template<class Grid, class WellModel>
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class BlackoilReorderingTransportModel
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: public BlackoilModelBase<Grid, WellModel, BlackoilReorderingTransportModel<Grid, WellModel> >
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{
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public:
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typedef BlackoilModelBase<Grid, WellModel, BlackoilReorderingTransportModel<Grid, WellModel> > Base;
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friend Base;
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typedef typename Base::ReservoirState ReservoirState;
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typedef typename Base::WellState WellState;
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typedef typename Base::SolutionState SolutionState;
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typedef typename Base::V V;
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/// Construct the model. It will retain references to the
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/// arguments of this functions, and they are expected to
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/// remain in scope for the lifetime of the solver.
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/// \param[in] param parameters
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/// \param[in] grid grid data structure
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/// \param[in] fluid fluid properties
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/// \param[in] geo rock properties
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/// \param[in] rock_comp_props if non-null, rock compressibility properties
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/// \param[in] wells_arg well structure
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/// \param[in] linsolver linear solver
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/// \param[in] eclState eclipse state
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/// \param[in] has_disgas turn on dissolved gas
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/// \param[in] has_vapoil turn on vaporized oil feature
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/// \param[in] terminal_output request output to cout/cerr
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BlackoilReorderingTransportModel(const typename Base::ModelParameters& param,
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const Grid& grid,
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const BlackoilPropsAdFromDeck& fluid,
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const DerivedGeology& geo,
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const RockCompressibility* rock_comp_props,
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const StandardWells& std_wells,
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const NewtonIterationBlackoilInterface& linsolver,
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std::shared_ptr<const EclipseState> eclState,
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const bool has_disgas,
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const bool has_vapoil,
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const bool terminal_output)
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: Base(param, grid, fluid, geo, rock_comp_props, std_wells, linsolver,
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eclState, has_disgas, has_vapoil, terminal_output)
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, graph_(Base::ops_)
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, props_(dynamic_cast<const BlackoilPropsAdFromDeck&>(fluid)) // TODO: remove the need for this cast.
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, state0_{ ReservoirState(0, 0, 0), WellState(), V(), V() }
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, state_{ ReservoirState(0, 0, 0), WellState(), V(), V() }
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, tr_model_(param, grid, fluid, geo, rock_comp_props, std_wells, linsolver,
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eclState, has_disgas, has_vapoil, terminal_output)
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{
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// Set up the common parts of the mass balance equations
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// for each active phase.
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const V transi = subset(geo_.transmissibility(), ops_.internal_faces);
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const V trans_nnc = ops_.nnc_trans;
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trans_all_ = V::Zero(transi.size() + trans_nnc.size());
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trans_all_ << transi, trans_nnc;
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gdz_ = geo_.gravity()[2] * (ops_.grad * geo_.z().matrix());
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rhos_ = DataBlock::Zero(ops_.div.rows(), 3);
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rhos_.col(Water) = props_.surfaceDensity(Water, Base::cells_);
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rhos_.col(Oil) = props_.surfaceDensity(Oil, Base::cells_);
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rhos_.col(Gas) = props_.surfaceDensity(Gas, Base::cells_);
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}
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void prepareStep(const SimulatorTimerInterface& timer,
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const ReservoirState& reservoir_state,
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const WellState& well_state)
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{
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tr_model_.prepareStep(timer, reservoir_state, well_state);
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Base::prepareStep(timer, reservoir_state, well_state);
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Base::param_.solve_welleq_initially_ = false;
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state0_.reservoir_state = reservoir_state;
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state0_.well_state = well_state;
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// Since (reference) pressure is constant, porosity and transmissibility multipliers can
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// be computed just once.
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const std::vector<double>& p = reservoir_state.pressure();
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state0_.tr_mult = Base::transMult(ADB::constant(Eigen::Map<const V>(p.data(), p.size()))).value();
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state0_.pv_mult = Base::poroMult(ADB::constant(Eigen::Map<const V>(p.data(), p.size()))).value();
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const int num_cells = p.size();
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cstate0_.resize(num_cells);
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for (int cell = 0; cell < num_cells; ++cell) {
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computeCellState(cell, state0_, cstate0_[cell]);
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}
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cstate_ = cstate0_;
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}
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template <class NonlinearSolverType>
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SimulatorReport nonlinearIteration(const int iteration,
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const SimulatorTimerInterface& timer,
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NonlinearSolverType& nonlinear_solver,
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ReservoirState& reservoir_state,
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const WellState& well_state)
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{
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// Extract reservoir and well fluxes and state.
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{
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DebugTimeReport tr("Extracting fluxes");
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extractFluxes(reservoir_state, well_state);
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extractState(reservoir_state, well_state);
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}
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// Compute cell ordering based on total flux.
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{
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DebugTimeReport tr("Topological sort");
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computeOrdering();
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}
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// Solve in every component (cell or block of cells), in order.
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{
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DebugTimeReport tr("Solving all components");
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for (int ii = 0; ii < 5; ++ii) {
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DebugTimeReport tr2("Solving components single sweep.");
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solveComponents();
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}
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}
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// Update states for output.
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reservoir_state = state_.reservoir_state;
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// Assemble with other model,
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{
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auto rs = reservoir_state;
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auto ws = well_state;
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tr_model_.nonlinearIteration(/*iteration*/ 0, timer, nonlinear_solver, rs, ws);
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}
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// Create report and exit.
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SimulatorReport report;
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report.converged = true;
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return report;
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}
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void afterStep(const SimulatorTimerInterface& /* timer */,
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const ReservoirState& /* reservoir_state */,
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const WellState& /* well_state */)
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{
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// Does nothing in this model.
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}
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using Base::numPhases;
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protected:
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// ============ Types ============
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using Vec2 = Dune::FieldVector<double, 2>;
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using Mat22 = Dune::FieldMatrix<double, 2, 2>;
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using Eval = DenseAd::Evaluation<double, 2>;
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struct State
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{
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ReservoirState reservoir_state;
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WellState well_state;
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V tr_mult;
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V pv_mult;
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};
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template <typename ScalarT>
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struct CellState
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{
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using Scalar = ScalarT;
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Scalar s[3];
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Scalar rs;
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Scalar rv;
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Scalar p[3];
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Scalar kr[3];
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Scalar pc[3];
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Scalar temperature;
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Scalar mu[3];
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Scalar b[3];
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Scalar lambda[3];
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Scalar rho[3];
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Scalar rssat;
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Scalar rvsat;
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// Implement interface used for opm-material properties.
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const Scalar& saturation(int phaseIdx) const
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{
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return s[phaseIdx];
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}
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template <typename T>
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CellState<T> flatten() const
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{
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return CellState<T>{
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{ s[0].value(), s[1].value(), s[2].value() },
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rs.value(),
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rv.value(),
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{ p[0].value(), p[1].value(), p[2].value() },
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{ kr[0].value(), kr[1].value(), kr[2].value() },
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{ pc[0].value(), pc[1].value(), pc[2].value() },
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temperature.value(),
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{ mu[0].value(), mu[1].value(), mu[2].value() },
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{ b[0].value(), b[1].value(), b[2].value() },
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{ lambda[0].value(), lambda[1].value(), lambda[2].value() },
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{ rho[0].value(), rho[1].value(), rho[2].value() },
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rssat.value(),
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rvsat.value()
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};
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}
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};
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// ============ Data members ============
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using Base::grid_;
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using Base::geo_;
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using Base::ops_;
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const detail::ConnectivityGraph graph_;
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const BlackoilPropsAdFromDeck& props_;
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State state0_;
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State state_;
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std::vector<CellState<double>> cstate0_;
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std::vector<CellState<double>> cstate_;
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V total_flux_;
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V total_wellperf_flux_;
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DataBlock comp_wellperf_flux_;
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V total_wellflux_cell_;
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V oil_wellflux_cell_;
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V gas_wellflux_cell_;
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std::vector<int> sequence_;
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std::vector<int> components_;
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V trans_all_;
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V gdz_;
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DataBlock rhos_;
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std::array<double, 2> max_abs_dx_;
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std::array<int, 2> max_abs_dx_cell_;
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// TODO: remove this, for debug only.
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BlackoilTransportModel<Grid, WellModel> tr_model_;
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// ============ Member functions ============
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template <typename Scalar>
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void computeCellState(const int cell, const State& state, CellState<Scalar>& cstate) const
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{
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assert(numPhases() == 3); // I apologize for this to my future self, that will have to fix it.
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// Extract from state and props.
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const auto hcstate = state.reservoir_state.hydroCarbonState()[cell];
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const bool is_sg = (hcstate == HydroCarbonState::GasAndOil);
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const bool is_rs = (hcstate == HydroCarbonState::OilOnly);
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const bool is_rv = (hcstate == HydroCarbonState::GasOnly);
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const double swval = state.reservoir_state.saturation()[3*cell + Water];
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const double sgval = state.reservoir_state.saturation()[3*cell + Gas];
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const double rsval = state.reservoir_state.gasoilratio()[cell];
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const double rvval = state.reservoir_state.rv()[cell];
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const double poval = state.reservoir_state.pressure()[cell];
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const int pvt_region = props_.pvtRegions()[cell];
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// Property functions.
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const auto& waterpvt = props_.waterProps();
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const auto& oilpvt = props_.oilProps();
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const auto& gaspvt = props_.gasProps();
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const auto& satfunc = props_.materialLaws();
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// Create saturation and composition variables.
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detail::CreateVariable<Scalar> variable;
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detail::CreateConstant<Scalar> constant;
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cstate.s[Water] = variable(swval, 0);
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cstate.s[Gas] = is_sg ? variable(sgval, 1) : constant(sgval);
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cstate.s[Oil] = 1.0 - cstate.s[Water] - cstate.s[Gas];
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cstate.rs = is_rs ? variable(rsval, 1) : constant(rsval);
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cstate.rv = is_rv ? variable(rvval, 1) : constant(rvval);
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// Compute relative permeabilities amd capillary pressures.
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const auto& params = satfunc.materialLawParams(cell);
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typedef BlackoilPropsAdFromDeck::MaterialLawManager::MaterialLaw MaterialLaw;
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MaterialLaw::relativePermeabilities(cstate.kr, params, cstate);
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MaterialLaw::capillaryPressures(cstate.pc, params, cstate);
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// Compute phase pressures.
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cstate.p[Oil] = constant(poval);
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cstate.p[Water] = cstate.p[Oil] + cstate.pc[Water]; // pcow = pw - po (!) [different from old convention]
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cstate.p[Gas] = cstate.p[Oil] + cstate.pc[Gas]; // pcog = pg - po
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// Compute PVT properties.
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cstate.temperature = constant(0.0); // Temperature is not used.
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cstate.mu[Water] = waterpvt.viscosity(pvt_region, cstate.temperature, cstate.p[Water]);
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cstate.mu[Oil] = is_sg
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? oilpvt.saturatedViscosity(pvt_region, cstate.temperature, cstate.p[Oil])
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: oilpvt.viscosity(pvt_region, cstate.temperature, cstate.p[Oil], cstate.rs);
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cstate.mu[Gas] = is_sg
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? gaspvt.saturatedViscosity(pvt_region, cstate.temperature, cstate.p[Gas])
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: gaspvt.viscosity(pvt_region, cstate.temperature, cstate.p[Gas], cstate.rv);
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cstate.b[Water] = waterpvt.inverseFormationVolumeFactor(pvt_region, cstate.temperature, cstate.p[Water]);
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cstate.b[Oil] = is_sg
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? oilpvt.saturatedInverseFormationVolumeFactor(pvt_region, cstate.temperature, cstate.p[Oil])
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: oilpvt.inverseFormationVolumeFactor(pvt_region, cstate.temperature, cstate.p[Oil], cstate.rs);
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cstate.b[Gas] = is_sg
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? gaspvt.saturatedInverseFormationVolumeFactor(pvt_region, cstate.temperature, cstate.p[Gas])
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: gaspvt.inverseFormationVolumeFactor(pvt_region, cstate.temperature, cstate.p[Gas], cstate.rv);
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// Compute mobilities.
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for (int phase = 0; phase < 3; ++phase) {
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cstate.lambda[phase] = cstate.kr[phase] / cstate.mu[phase];
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}
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// Compute densities.
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cstate.rho[Water] = rhos_(cell, Water) * cstate.b[Water];
|
|
cstate.rho[Oil] = (rhos_(cell, Oil) + cstate.rs*rhos_(cell, Gas)) * cstate.b[Oil]; // TODO: check that this is correct
|
|
cstate.rho[Gas] = (rhos_(cell, Gas) + cstate.rv*rhos_(cell, Oil)) * cstate.b[Gas];
|
|
|
|
// Compute saturated rs and rv factors.
|
|
cstate.rssat = oilpvt.saturatedGasDissolutionFactor(pvt_region, cstate.temperature, cstate.p[Oil]);
|
|
cstate.rvsat = gaspvt.saturatedOilVaporizationFactor(pvt_region, cstate.temperature, cstate.p[Gas]);
|
|
// TODO: add vaporization controls such as in BlackoilPropsAdFromDeck::applyVap().
|
|
}
|
|
|
|
|
|
|
|
|
|
void extractFluxes(const ReservoirState& reservoir_state,
|
|
const WellState& well_state)
|
|
{
|
|
// Input face fluxes are for interior faces + nncs.
|
|
total_flux_ = Eigen::Map<const V>(reservoir_state.faceflux().data(),
|
|
reservoir_state.faceflux().size());
|
|
total_wellperf_flux_ = Eigen::Map<const V>(well_state.perfRates().data(),
|
|
well_state.perfRates().size());
|
|
comp_wellperf_flux_ = Eigen::Map<const DataBlock>(well_state.perfPhaseRates().data(),
|
|
well_state.perfRates().size(),
|
|
numPhases());
|
|
const int num_cells = reservoir_state.pressure().size();
|
|
total_wellflux_cell_ = superset(total_wellperf_flux_, Base::wellModel().wellOps().well_cells, num_cells);
|
|
assert(Base::numPhases() == 3);
|
|
V oilflux = comp_wellperf_flux_.col(1);
|
|
V gasflux = comp_wellperf_flux_.col(2);
|
|
oil_wellflux_cell_ = superset(oilflux, Base::wellModel().wellOps().well_cells, num_cells);
|
|
gas_wellflux_cell_ = superset(gasflux, Base::wellModel().wellOps().well_cells, num_cells);
|
|
assert(numPhases() * well_state.perfRates().size() == well_state.perfPhaseRates().size());
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void extractState(const ReservoirState& reservoir_state,
|
|
const WellState& well_state)
|
|
{
|
|
state_.reservoir_state = reservoir_state;
|
|
state_.well_state = well_state;
|
|
const std::vector<double>& p = reservoir_state.pressure();
|
|
state_.tr_mult = Base::transMult(ADB::constant(Eigen::Map<const V>(p.data(), p.size()))).value();
|
|
state_.pv_mult = Base::poroMult(ADB::constant(Eigen::Map<const V>(p.data(), p.size()))).value();
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void computeOrdering()
|
|
{
|
|
assert(!geo_.nnc().hasNNC()); // TODO: support compute_sequence() with grid + nnc.
|
|
static_assert(std::is_same<Grid, UnstructuredGrid>::value,
|
|
"compute_sequence() is written in C and therefore requires an UnstructuredGrid, "
|
|
"it must be rewritten to use other grid classes such as CpGrid");
|
|
using namespace Opm::AutoDiffGrid;
|
|
const int num_cells = numCells(grid_);
|
|
sequence_.resize(num_cells);
|
|
components_.resize(num_cells + 1); // max possible size
|
|
int num_components = -1;
|
|
|
|
|
|
using namespace Opm::AutoDiffGrid;
|
|
const int num_faces = numFaces(grid_);
|
|
V flux_on_all_faces = superset(total_flux_, ops_.internal_faces, num_faces);
|
|
compute_sequence(&grid_, flux_on_all_faces.data(), sequence_.data(), components_.data(), &num_components);
|
|
OpmLog::debug(std::string("Number of components: ") + std::to_string(num_components));
|
|
components_.resize(num_components + 1); // resize to fit actually used part
|
|
}
|
|
|
|
|
|
|
|
|
|
void solveComponents()
|
|
{
|
|
// Zero the max changed.
|
|
max_abs_dx_[0] = 0.0;
|
|
max_abs_dx_[1] = 0.0;
|
|
max_abs_dx_cell_[0] = -1;
|
|
max_abs_dx_cell_[1] = -1;
|
|
|
|
// Solve the equations.
|
|
const int num_components = components_.size() - 1;
|
|
for (int comp = 0; comp < num_components; ++comp) {
|
|
const int comp_size = components_[comp + 1] - components_[comp];
|
|
if (comp_size == 1) {
|
|
solveSingleCell(sequence_[components_[comp]]);
|
|
} else {
|
|
solveMultiCell(comp_size, &sequence_[components_[comp]]);
|
|
}
|
|
}
|
|
|
|
// Log the max change.
|
|
{
|
|
std::ostringstream os;
|
|
os << "=== Max abs dx[0]: " << max_abs_dx_[0] << " (cell " << max_abs_dx_cell_[0]
|
|
<<") dx[1]: " << max_abs_dx_[1] << " (cell " << max_abs_dx_cell_[1] << ")";
|
|
OpmLog::debug(os.str());
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void solveSingleCell(const int cell)
|
|
{
|
|
|
|
Vec2 res;
|
|
Mat22 jac;
|
|
assembleSingleCell(cell, res, jac);
|
|
|
|
// Newton loop.
|
|
int iter = 0;
|
|
const int max_iter = 100;
|
|
double relaxation = 1.0;
|
|
while (!getConvergence(cell, res) && iter < max_iter) {
|
|
Vec2 dx;
|
|
jac.solve(dx, res);
|
|
dx *= relaxation;
|
|
// const auto hcstate_old = state_.reservoir_state.hydroCarbonState()[cell];
|
|
updateState(cell, -dx);
|
|
// const auto hcstate = state_.reservoir_state.hydroCarbonState()[cell];
|
|
assembleSingleCell(cell, res, jac);
|
|
++iter;
|
|
if (iter > 10) {
|
|
relaxation = 0.85;
|
|
if (iter > 15) {
|
|
relaxation = 0.70;
|
|
}
|
|
if (iter > 20) {
|
|
relaxation = 0.55;
|
|
}
|
|
if (iter > 25) {
|
|
relaxation = 0.40;
|
|
}
|
|
if (iter > 30) {
|
|
relaxation = 0.25;
|
|
}
|
|
// std::ostringstream os;
|
|
// os << "Iteration " << iter << " in cell " << cell << ", residual = " << res
|
|
// << ", cell values { s = ( " << cstate_[cell].s[Water] << ", " << cstate_[cell].s[Oil] << ", " << cstate_[cell].s[Gas]
|
|
// << " ), rs = " << cstate_[cell].rs << ", rv = " << cstate_[cell].rv << "}, dx = " << dx << ", hcstate: " << hcstate_old << " -> " << hcstate;
|
|
// OpmLog::debug(os.str());
|
|
}
|
|
}
|
|
if (iter == max_iter) {
|
|
std::ostringstream os;
|
|
os << "Failed to converge in cell " << cell << ", residual = " << res
|
|
<< ", cell values { s = ( " << cstate_[cell].s[Water] << ", " << cstate_[cell].s[Oil] << ", " << cstate_[cell].s[Gas]
|
|
<< " ), rs = " << cstate_[cell].rs << ", rv = " << cstate_[cell].rv << " }";
|
|
OpmLog::debug(os.str());
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void solveMultiCell(const int comp_size, const int* cell_array)
|
|
{
|
|
// OpmLog::warning("solveMultiCell", "solveMultiCell() called with component size " + std::to_string(comp_size));
|
|
for (int ii = 0; ii < comp_size; ++ii) {
|
|
solveSingleCell(cell_array[ii]);
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Scalar>
|
|
Scalar oilAccumulation(const CellState<Scalar>& cs)
|
|
{
|
|
return cs.b[Oil]*cs.s[Oil] + cs.rv*cs.b[Gas]*cs.s[Gas];
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Scalar>
|
|
Scalar gasAccumulation(const CellState<Scalar>& cs)
|
|
{
|
|
return cs.b[Gas]*cs.s[Gas] + cs.rs*cs.b[Oil]*cs.s[Oil];
|
|
}
|
|
|
|
|
|
|
|
|
|
void applyThresholdPressure(const int connection, Eval& dp)
|
|
{
|
|
const double thres_press = Base::threshold_pressures_by_connection_[connection];
|
|
if (std::fabs(dp.value()) < thres_press) {
|
|
dp.setValue(0.0);
|
|
} else {
|
|
dp -= dp.value() > 0.0 ? thres_press : -thres_press;
|
|
}
|
|
}
|
|
|
|
|
|
|
|
|
|
void assembleSingleCell(const int cell, Vec2& res, Mat22& jac)
|
|
{
|
|
assert(numPhases() == 3); // I apologize for this to my future self, that will have to fix it.
|
|
|
|
CellState<Eval> st;
|
|
computeCellState(cell, state_, st);
|
|
cstate_[cell] = st.template flatten<double>();
|
|
|
|
// Accumulation terms.
|
|
const double pvm0 = state0_.pv_mult[cell];
|
|
const double pvm = state_.pv_mult[cell];
|
|
const double ao0 = oilAccumulation(cstate0_[cell]) * pvm0;
|
|
const Eval ao = oilAccumulation(st) * pvm;
|
|
const double ag0 = gasAccumulation(cstate0_[cell]) * pvm0;
|
|
const Eval ag = gasAccumulation(st) * pvm;
|
|
|
|
// Flux terms.
|
|
Eval div_oilflux = Eval::createConstant(0.0);
|
|
Eval div_gasflux = Eval::createConstant(0.0);
|
|
for (auto conn : graph_.cellConnections(cell)) {
|
|
auto conn_cells = graph_.connectionCells(conn.index);
|
|
const int from = conn_cells[0];
|
|
const int to = conn_cells[1];
|
|
if (from < 0 || to < 0) {
|
|
continue; // Boundary.
|
|
}
|
|
assert((from == cell) == (conn.sign > 0.0));
|
|
const int other = from == cell ? to : from;
|
|
const double vt = conn.sign * total_flux_[conn.index];
|
|
const double gdz = conn.sign * gdz_[conn.index];
|
|
|
|
// From this point, we treat everything about this
|
|
// connection as going from 'cell' to 'other'. Since
|
|
// we don't want derivatives from the 'other' cell to
|
|
// participate in the solution, we use the constant
|
|
// values from cstate_[other].
|
|
Eval dh[3];
|
|
Eval dh_sat[3];
|
|
const Eval grad_oil_press = cstate_[other].p[Oil] - st.p[Oil];
|
|
for (int phase : { Water, Oil, Gas }) {
|
|
const Eval gradp = cstate_[other].p[phase] - st.p[phase];
|
|
const Eval rhoavg = 0.5 * (st.rho[phase] + cstate_[other].rho[phase]);
|
|
dh[phase] = gradp - rhoavg * gdz;
|
|
if (Base::use_threshold_pressure_) {
|
|
applyThresholdPressure(conn.index, dh[phase]);
|
|
}
|
|
dh_sat[phase] = grad_oil_press - dh[phase];
|
|
}
|
|
const double tran = trans_all_[conn.index]; // TODO: include tr_mult effect.
|
|
const auto& m1 = st.lambda;
|
|
const auto& m2 = cstate_[other].lambda;
|
|
const auto upw = connectionMultiPhaseUpwind({{ dh_sat[Water].value(), dh_sat[Oil].value(), dh_sat[Gas].value() }},
|
|
{{ m1[Water].value(), m1[Oil].value(), m1[Gas].value() }},
|
|
{{ m2[Water], m2[Oil], m2[Gas] }},
|
|
tran, vt);
|
|
// if (upw[0] != upw[1] || upw[1] != upw[2]) {
|
|
// OpmLog::debug("Detected countercurrent flow between cells " + std::to_string(from) + " and " + std::to_string(to));
|
|
// }
|
|
Eval b[3];
|
|
Eval mob[3];
|
|
Eval tot_mob = Eval::createConstant(0.0);
|
|
for (int phase : { Water, Oil, Gas }) {
|
|
b[phase] = upw[phase] > 0.0 ? st.b[phase] : cstate_[other].b[phase];
|
|
mob[phase] = upw[phase] > 0.0 ? m1[phase] : m2[phase];
|
|
tot_mob += mob[phase];
|
|
}
|
|
Eval rs = upw[Oil] > 0.0 ? st.rs : cstate_[other].rs;
|
|
Eval rv = upw[Gas] > 0.0 ? st.rv : cstate_[other].rv;
|
|
|
|
Eval flux[3];
|
|
for (int phase : { Oil, Gas }) {
|
|
Eval gflux = Eval::createConstant(0.0);
|
|
for (int other_phase : { Water, Oil, Gas }) {
|
|
if (phase != other_phase) {
|
|
gflux += mob[other_phase] * (dh_sat[phase] - dh_sat[other_phase]);
|
|
}
|
|
}
|
|
flux[phase] = b[phase] * (mob[phase] / tot_mob) * (vt + tran*gflux);
|
|
}
|
|
div_oilflux += flux[Oil] + rv*flux[Gas];
|
|
div_gasflux += flux[Gas] + rs*flux[Oil];
|
|
}
|
|
|
|
// Well fluxes.
|
|
if (total_wellflux_cell_[cell] > 0.0) {
|
|
// Injecting perforation. Use given phase rates.
|
|
assert(oil_wellflux_cell_[cell] >= 0.0);
|
|
assert(gas_wellflux_cell_[cell] >= 0.0);
|
|
div_oilflux -= oil_wellflux_cell_[cell];
|
|
div_gasflux -= gas_wellflux_cell_[cell];
|
|
} else if (total_wellflux_cell_[cell] < 0.0) {
|
|
// Producing perforation. Use total rate and fractional flow.
|
|
Eval totmob = st.lambda[Water] + st.lambda[Oil] + st.lambda[Gas];
|
|
Eval oilflux = st.b[Oil] * (st.lambda[Oil]/totmob) * total_wellflux_cell_[cell];
|
|
Eval gasflux = st.b[Gas] * (st.lambda[Gas]/totmob) * total_wellflux_cell_[cell];
|
|
div_oilflux -= (oilflux + st.rv * gasflux);
|
|
div_gasflux -= (gasflux + st.rs * oilflux);
|
|
}
|
|
|
|
const Eval oileq = Base::pvdt_[cell]*(ao - ao0) + div_oilflux;
|
|
const Eval gaseq = Base::pvdt_[cell]*(ag - ag0) + div_gasflux;
|
|
|
|
res[0] = oileq.value();
|
|
res[1] = gaseq.value();
|
|
jac[0][0] = oileq.derivative(0);
|
|
jac[0][1] = oileq.derivative(1);
|
|
jac[1][0] = gaseq.derivative(0);
|
|
jac[1][1] = gaseq.derivative(1);
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
bool getConvergence(const int cell, const Vec2& res)
|
|
{
|
|
const double tol = 1e-7;
|
|
// Compute scaled residuals (scaled like saturations).
|
|
double sres[] = { res[0] / (cstate_[cell].b[Oil] * Base::pvdt_[cell]),
|
|
res[1] / (cstate_[cell].b[Gas] * Base::pvdt_[cell]) };
|
|
return std::fabs(sres[0]) < tol && std::fabs(sres[1]) < tol;
|
|
}
|
|
|
|
|
|
|
|
|
|
void updateState(const int cell,
|
|
const Vec2& dx)
|
|
{
|
|
if (std::fabs(dx[0]) > max_abs_dx_[0]) {
|
|
max_abs_dx_cell_[0] = cell;
|
|
}
|
|
if (std::fabs(dx[1]) > max_abs_dx_[1]) {
|
|
max_abs_dx_cell_[1] = cell;
|
|
}
|
|
max_abs_dx_[0] = std::max(max_abs_dx_[0], std::fabs(dx[0]));
|
|
max_abs_dx_[1] = std::max(max_abs_dx_[1], std::fabs(dx[1]));
|
|
|
|
// Get saturation updates.
|
|
const double dsw = dx[0];
|
|
double dsg = 0.0;
|
|
auto& hcstate = state_.reservoir_state.hydroCarbonState()[cell];
|
|
if (hcstate == HydroCarbonState::GasAndOil) {
|
|
dsg = dx[1];
|
|
} else if (hcstate == HydroCarbonState::GasOnly) {
|
|
dsg = -dsw;
|
|
}
|
|
const double dso = -(dsw + dsg);
|
|
|
|
// Handle too large saturation changes.
|
|
const double maxval = std::max(std::fabs(dsw), std::max(std::fabs(dso), std::fabs(dsg)));
|
|
const double sfactor = std::min(1.0, Base::dsMax() / maxval);
|
|
double* s = state_.reservoir_state.saturation().data() + 3*cell;
|
|
s[Water] += sfactor*dsw;
|
|
s[Gas] += sfactor*dsg;
|
|
s[Oil] = 1.0 - s[Water] - s[Gas];
|
|
|
|
// Handle < 0 saturations.
|
|
for (int phase : { Gas, Oil, Water }) { // TODO: check if ordering here is significant
|
|
if (s[phase] < 0.0) {
|
|
for (int other_phase : { Water, Oil, Gas }) {
|
|
if (phase != other_phase) {
|
|
s[other_phase] /= (1.0 - s[phase]);
|
|
}
|
|
}
|
|
s[phase] = 0.0;
|
|
}
|
|
}
|
|
|
|
// Update rs.
|
|
double& rs = state_.reservoir_state.gasoilratio()[cell];
|
|
const double rs_old = rs;
|
|
if (hcstate == HydroCarbonState::OilOnly) {
|
|
// const double max_allowed_change = std::fabs(rs_old) * Base::drMaxRel();
|
|
const double drs = dx[1];
|
|
// const double factor = std::min(1.0, max_allowed_change / std::fabs(drs));
|
|
// rs += factor*drs;
|
|
rs += drs;
|
|
rs = std::max(rs, 0.0);
|
|
}
|
|
|
|
// Update rv.
|
|
double& rv = state_.reservoir_state.rv()[cell];
|
|
const double rv_old = rv;
|
|
if (hcstate == HydroCarbonState::GasOnly) {
|
|
// const double max_allowed_change = std::fabs(rv_old) * Base::drMaxRel();
|
|
const double drv = dx[1];
|
|
// const double factor = std::min(1.0, max_allowed_change / std::fabs(drv));
|
|
// rv += factor*drv;
|
|
rv += drv;
|
|
rv = std::max(rv, 0.0);
|
|
}
|
|
|
|
const double epsilon = std::sqrt(std::numeric_limits<double>::epsilon());
|
|
const bool water_only = s[Water] > (1 - epsilon);
|
|
const auto old_hcstate = hcstate;
|
|
hcstate = HydroCarbonState::GasAndOil;
|
|
// sg <-> rs transition.
|
|
{
|
|
const double rssat_old = cstate_[cell].rssat;
|
|
const double rssat = rssat_old; // TODO: This is no longer true with vaporization controls
|
|
const bool is_rs = old_hcstate == HydroCarbonState::OilOnly;
|
|
const bool has_gas = (s[Gas] > 0.0 && !is_rs);
|
|
const bool gas_vaporized = ( (rs > rssat * (1+epsilon) && is_rs ) && (rs_old > rssat_old * (1-epsilon)) );
|
|
if (water_only || has_gas || gas_vaporized) {
|
|
rs = rssat;
|
|
} else {
|
|
hcstate = HydroCarbonState::OilOnly;
|
|
}
|
|
}
|
|
|
|
// sg <-> rv transition.
|
|
{
|
|
const double rvsat_old = cstate_[cell].rvsat;
|
|
const double rvsat = rvsat_old; // TODO: This is no longer true with vaporization controls
|
|
const bool is_rv = old_hcstate == HydroCarbonState::GasOnly;
|
|
const bool has_oil = (s[Oil] > 0.0 && !is_rv);
|
|
const bool oil_condensed = ( (rv > rvsat * (1+epsilon) && is_rv) && (rv_old > rvsat_old * (1-epsilon)) );
|
|
if (water_only || has_oil || oil_condensed) {
|
|
rv = rvsat;
|
|
} else {
|
|
hcstate = HydroCarbonState::GasOnly;
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
/// Providing types by template specialisation of ModelTraits for BlackoilReorderingTransportModel.
|
|
template <class Grid, class WellModel>
|
|
struct ModelTraits< BlackoilReorderingTransportModel<Grid, WellModel> >
|
|
{
|
|
typedef BlackoilState ReservoirState;
|
|
typedef WellStateFullyImplicitBlackoil WellState;
|
|
typedef BlackoilModelParameters ModelParameters;
|
|
typedef DefaultBlackoilSolutionState SolutionState;
|
|
};
|
|
|
|
} // namespace Opm
|
|
|
|
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#endif // OPM_BLACKOILREORDERINGTRANSPORTMODEL_HEADER_INCLUDED
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