VFPHelpers.hpp

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/*
  Copyright 2015 SINTEF ICT, Applied Mathematics.
 
  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 <http://www.gnu.org/licenses/>.
*/
 
 
#ifndef OPM_AUTODIFF_VFPHELPERS_HPP_
#define OPM_AUTODIFF_VFPHELPERS_HPP_
 
#include <functional>
#include <map>
#include <vector>
#include <optional>
 
namespace Opm {
 
class VFPInjTable;
class VFPProdTable;
 
namespace detail {
 
template<class Scalar>
struct VFPEvaluation
{
    VFPEvaluation() : value(0.0), dthp(0.0), dwfr(0.0), dgfr(0.0), dalq(0.0), dflo(0.0) {};
    Scalar value;
    Scalar dthp;
    Scalar dwfr;
    Scalar dgfr;
    Scalar dalq;
    Scalar dflo;
};
 
template<class Scalar>
VFPEvaluation<Scalar> operator+(VFPEvaluation<Scalar> lhs, const VFPEvaluation<Scalar>& rhs);
template<class Scalar>
VFPEvaluation<Scalar> operator-(VFPEvaluation<Scalar> lhs, const VFPEvaluation<Scalar>& rhs);
template<class Scalar>
VFPEvaluation<Scalar> operator*(Scalar lhs, const VFPEvaluation<Scalar>& rhs);
 
template<class Scalar>
struct InterpData
{
    InterpData() : ind_{0, 0}, inv_dist_(0.0), factor_(0.0) {}
    int ind_[2]; //[First element greater than or equal to value, Last element smaller than or equal to value]
    Scalar inv_dist_; // 1 / distance between the two end points of the segment. Used to calculate derivatives and uses 1.0 / 0.0 = 0.0 as a convention
    Scalar factor_; // Interpolation factor
};
 
template <typename T>
T getFlo(const VFPProdTable& table,
         const T& aqua,
         const T& liquid,
         const T& vapour);
 
template <typename T>
T getFlo(const VFPInjTable& table,
         const T& aqua,
         const T& liquid,
         const T& vapour);
 
template <typename T>
T getWFR(const VFPProdTable& table,
         const T& aqua,
         const T& liquid,
         const T& vapour);
 
template <typename T>
T getGFR(const VFPProdTable& table,
         const T& aqua,
         const T& liquid,
         const T& vapour);
 
template <typename T>
const T& getTable(const std::map<int, std::reference_wrapper<const T>>& tables, int table_id);
 
template <typename T>
bool hasTable(const std::map<int, std::reference_wrapper<const T>>& tables, int table_id) {
    const auto entry = tables.find(table_id);
    return (entry != tables.end() );
}
 
template <typename TYPE, typename TABLE>
TYPE getType(const TABLE& table);
 
}
 
template<class Scalar>
class VFPHelpers {
public:
    static detail::InterpData<Scalar> findInterpData(const Scalar value_in,
                                                     const std::vector<double>& values);
 
    static detail::VFPEvaluation<Scalar> interpolate(const VFPProdTable& table,
                                                     const detail::InterpData<Scalar>& flo_i,
                                                     const detail::InterpData<Scalar>& thp_i,
                                                     const detail::InterpData<Scalar>& wfr_i,
                                                     const detail::InterpData<Scalar>& gfr_i,
                                                     const detail::InterpData<Scalar>& alq_i);
 
    static detail::VFPEvaluation<Scalar> interpolate(const VFPInjTable& table,
                                                     const detail::InterpData<Scalar>& flo_i,
                                                     const detail::InterpData<Scalar>& thp_i);
 
    static detail::VFPEvaluation<Scalar> bhp(const VFPProdTable& table,
                                             const Scalar aqua,
                                             const Scalar liquid,
                                             const Scalar vapour,
                                             const Scalar thp,
                                             const Scalar alq,
                                             const Scalar explicit_wfr,
                                             const Scalar explicit_gfr,
                                             const bool   use_vfpexplicit);
 
    static detail::VFPEvaluation<Scalar> bhp(const VFPInjTable& table,
                                             const Scalar aqua,
                                             const Scalar liquid,
                                             const Scalar vapour,
                                             const Scalar thp);
 
    static Scalar findTHP(const std::vector<Scalar>& bhp_array,
                          const std::vector<double>& thp_array,
                          Scalar bhp, 
                          const bool find_largest = true);
 
    static std::pair<Scalar, Scalar>
    getMinimumBHPCoordinate(const VFPProdTable& table,
                            const Scalar thp,
                            const Scalar wfr,
                            const Scalar gfr,
                            const Scalar alq);
 
    static std::optional<std::pair<Scalar, Scalar>>
    intersectWithIPR(const VFPProdTable& table,
                     const Scalar thp,
                     const Scalar wfr,
                     const Scalar gfr,
                     const Scalar alq,
                     const Scalar ipr_a,
                     const Scalar ipr_b,
                     const std::function<Scalar(const Scalar)>& adjust_bhp);
};
 
} // namespace
 
#endif /* OPM_AUTODIFF_VFPHELPERS_HPP_ */