Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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/*
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Copyright 2014 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_INITSTATEEQUIL_HEADER_INCLUDED
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#define OPM_INITSTATEEQUIL_HEADER_INCLUDED
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#include <opm/core/props/BlackoilPropertiesInterface.hpp>
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#include <opm/core/props/BlackoilPhases.hpp>
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#include <opm/core/utility/linearInterpolation.hpp>
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#include <opm/core/utility/Units.hpp>
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#include <array>
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#include <cassert>
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2014-01-17 13:07:51 -06:00
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#include <utility>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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#include <vector>
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struct UnstructuredGrid;
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namespace Opm
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{
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namespace equil {
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template <class Props>
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class DensityCalculator;
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template <>
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class DensityCalculator< BlackoilPropertiesInterface > {
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public:
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DensityCalculator(const BlackoilPropertiesInterface& props,
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const int c)
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: props_(props)
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, c_(1, c)
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{
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}
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std::vector<double>
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operator()(const double p,
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const std::vector<double>& z) const
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{
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const int np = props_.numPhases();
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std::vector<double> A(np * np, 0);
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assert (z.size() == std::vector<double>::size_type(np));
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double* dAdp = 0;
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props_.matrix(1, &p, &z[0], &c_[0], &A[0], dAdp);
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std::vector<double> rho(np, 0.0);
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props_.density(1, &A[0], &rho[0]);
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return rho;
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}
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private:
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const BlackoilPropertiesInterface& props_;
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const std::vector<int> c_;
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};
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namespace miscibility {
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struct NoMixing {
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double
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operator()(const double /* depth */,
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const double /* press */) const
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{
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return 0.0;
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}
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};
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class RsVD {
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public:
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RsVD(const std::vector<double>& depth,
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const std::vector<double>& rs)
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: depth_(depth)
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, rs_(rs)
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{
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}
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double
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operator()(const double depth,
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const double /* press */) const
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{
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return linearInterpolation(depth_, rs_, depth);
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}
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private:
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std::vector<double> depth_;
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std::vector<double> rs_;
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};
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} // namespace miscibility
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2014-01-17 13:07:51 -06:00
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template < class Region = std::vector<int> >
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class RegionMapping {
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public:
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explicit
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RegionMapping(const Region& reg)
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: reg_(reg)
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{
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rev_.init(reg_);
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}
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typedef typename Region::value_type RegionId;
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typedef typename Region::size_type CellId;
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typedef typename std::vector<CellId>::const_iterator CellIter;
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class CellRange {
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public:
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CellRange(const CellIter b,
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const CellIter e)
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: b_(b), e_(e)
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{}
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typedef CellIter iterator;
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typedef CellIter const_iterator;
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iterator begin() const { return b_; }
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iterator end() const { return e_; }
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private:
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iterator b_;
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iterator e_;
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};
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RegionId
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numRegions() const { return RegionId(rev_.p.size()) - 1; }
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RegionId
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region(const CellId c) const { return reg_[c]; }
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CellRange
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cells(const RegionId r) const {
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const RegionId i = r - rev_.low;
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return CellRange(rev_.c.begin() + rev_.p[i + 0],
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rev_.c.begin() + rev_.p[i + 1]);
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}
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private:
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Region reg_;
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struct {
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typedef typename std::vector<CellId>::size_type Pos;
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std::vector<Pos> p;
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std::vector<CellId> c;
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RegionId low;
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void
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init(const Region& reg)
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{
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typedef typename Region::const_iterator CI;
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const std::pair<CI,CI>
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m = std::minmax_element(reg.begin(), reg.end());
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low = *m.first;
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const typename Region::size_type
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n = *m.second - low + 1;
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p.resize(n + 1); std::fill(p.begin(), p.end(), Pos(0));
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for (CellId i = 0, nc = reg.size(); i < nc; ++i) {
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p[ reg[i] - low + 1 ] += 1;
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}
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for (typename std::vector<Pos>::size_type
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i = 1, sz = p.size(); i < sz; ++i) {
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p[0] += p[i];
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p[i] = p[0] - p[i];
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}
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assert (p[0] ==
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static_cast<typename Region::size_type>(reg.size()));
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c.resize(reg.size());
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for (CellId i = 0, nc = reg.size(); i < nc; ++i) {
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c[ p[ reg[i] - low + 1 ] ++ ] = i;
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}
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p[0] = 0;
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}
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} rev_;
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};
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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struct EquilRecord {
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struct {
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double depth;
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double press;
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} main, woc, goc;
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};
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template <class DensCalc,
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class RS = miscibility::NoMixing,
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class RV = miscibility::NoMixing>
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class EquilReg {
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public:
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EquilReg(const EquilRecord& rec,
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const DensCalc& density,
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const RS& rs,
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const RV& rv,
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const PhaseUsage& pu)
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: rec_ (rec)
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, density_(density)
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, rs_ (rs)
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, rv_ (rv)
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, pu_ (pu)
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{
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}
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typedef DensCalc CalcDensity;
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typedef RS CalcDissolution;
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typedef RV CalcEvaporation;
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double datum() const { return this->rec_.main.depth; }
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double pressure() const { return this->rec_.main.press; }
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double zwoc() const { return this->rec_.woc .depth; }
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double pcow_woc() const { return this->rec_.woc .press; }
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double zgoc() const { return this->rec_.goc .depth; }
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double pcgo_goc() const { return this->rec_.goc .press; }
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const CalcDensity&
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densityCalculator() const { return this->density_; }
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const CalcDissolution&
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dissolutionCalculator() const { return this->rs_; }
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const CalcEvaporation&
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evaporationCalculator() const { return this->rv_; }
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const PhaseUsage&
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phaseUsage() const { return this->pu_; }
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private:
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EquilRecord rec_;
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DensCalc density_;
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RS rs_;
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RV rv_;
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PhaseUsage pu_;
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};
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2014-01-17 10:43:27 -06:00
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template <class Region, class CellRange>
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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std::vector< std::vector<double> >
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phasePressures(const UnstructuredGrid& G,
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const Region& reg,
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2014-01-17 10:43:27 -06:00
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const CellRange& cells,
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Add basic equilibration facility
This commit adds a simple facility for calculating initial phase
pressures assuming stationary conditions, a known reference pressure
in the oil zone as well as the depth and capillary pressures at the
water-oil and gas-oil contacts.
Function 'Opm::equil::phasePressures()' uses a simple ODE/IVP-based
approach, solved using the traditional RK4 method with constant step
sizes, to derive the required pressure values. Specifically, we
solve the ODE
dp/dz = rho(z,p) * g
with 'z' represening depth, 'p' being a phase pressure and 'rho' the
associate phase density. Finally, 'g' is the acceleration of
gravity. We assume that we can calculate phase densities, e.g.,
from table look-up. This assumption holds in the case of an ECLIPSE
input deck.
Using RK4 with constant step sizes is a limitation of this
implementation. This, basically, assumes that the phase densities
varies only smoothly with depth and pressure (at reservoir
conditions).
2014-01-14 13:37:28 -06:00
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const double grav = unit::gravity);
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} // namespace equil
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} // namespace Opm
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#include <opm/core/simulator/initStateEquil_impl.hpp>
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#endif // OPM_INITSTATEEQUIL_HEADER_INCLUDED
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