479 lines
21 KiB
C++
479 lines
21 KiB
C++
/*
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Copyright 2010, 2011, 2012 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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#include "config.h"
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#include <opm/core/props/pvt/SinglePvtLiveOil.hpp>
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#include <opm/core/utility/ErrorMacros.hpp>
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#include <opm/core/utility/linearInterpolation.hpp>
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#include <algorithm>
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namespace Opm
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{
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using Opm::linearInterpolation;
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using Opm::linearInterpolationDerivative;
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using Opm::tableIndex;
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//------------------------------------------------------------------------
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// Member functions
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//-------------------------------------------------------------------------
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/// Constructor
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SinglePvtLiveOil::SinglePvtLiveOil(const table_t& pvto)
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{
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// OIL, PVTO
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const int region_number = 0;
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if (pvto.size() != 1) {
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OPM_THROW(std::runtime_error, "More than one PVD-region");
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}
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saturated_oil_table_.resize(4);
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const int sz = pvto[region_number].size();
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for (int k=0; k<4; ++k) {
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saturated_oil_table_[k].resize(sz);
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}
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for (int i=0; i<sz; ++i) {
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saturated_oil_table_[0][i] = pvto[region_number][i][1]; // p
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saturated_oil_table_[1][i] = 1.0/pvto[region_number][i][2]; // 1/Bo
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saturated_oil_table_[2][i] = pvto[region_number][i][3]; // mu_o
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saturated_oil_table_[3][i] = pvto[region_number][i][0]; // Rs
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}
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undersat_oil_tables_.resize(sz);
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for (int i=0; i<sz; ++i) {
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undersat_oil_tables_[i].resize(3);
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int tsize = (pvto[region_number][i].size() - 1)/3;
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undersat_oil_tables_[i][0].resize(tsize);
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undersat_oil_tables_[i][1].resize(tsize);
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undersat_oil_tables_[i][2].resize(tsize);
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for (int j=0, k=0; j<tsize; ++j) {
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undersat_oil_tables_[i][0][j] = pvto[region_number][i][++k]; // p
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undersat_oil_tables_[i][1][j] = 1.0/pvto[region_number][i][++k]; // 1/Bo
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undersat_oil_tables_[i][2][j] = pvto[region_number][i][++k]; // mu_o
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}
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}
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// Fill in additional entries in undersaturated tables by interpolating/extrapolating 1/Bo and mu_o ...
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int iPrev = -1;
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int iNext = 1;
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while (undersat_oil_tables_[iNext][0].size() < 2) {
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++iNext;
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}
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assert(iNext < sz);
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for (int i=0; i<sz; ++i) {
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if (undersat_oil_tables_[i][0].size() > 1) {
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iPrev = i;
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continue;
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}
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bool flagPrev = (iPrev >= 0);
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bool flagNext = true;
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if (iNext < i) {
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iPrev = iNext;
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flagPrev = true;
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iNext = i+1;
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while (undersat_oil_tables_[iNext][0].size() < 2) {
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++iNext;
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}
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}
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double slopePrevBinv = 0.0;
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double slopePrevVisc = 0.0;
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double slopeNextBinv = 0.0;
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double slopeNextVisc = 0.0;
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while (flagPrev || flagNext) {
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double pressure0 = undersat_oil_tables_[i][0].back();
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double pressure = 1.0e47;
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if (flagPrev) {
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std::vector<double>::iterator itPrev = upper_bound(undersat_oil_tables_[iPrev][0].begin(),
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undersat_oil_tables_[iPrev][0].end(),pressure0+1.);
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if (itPrev == undersat_oil_tables_[iPrev][0].end()) {
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--itPrev; // Extrapolation ...
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} else if (itPrev == undersat_oil_tables_[iPrev][0].begin()) {
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++itPrev;
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}
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if (itPrev == undersat_oil_tables_[iPrev][0].end()-1) {
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flagPrev = false; // Last data set for "prev" ...
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}
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double dPPrev = *itPrev - *(itPrev-1);
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pressure = *itPrev;
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int index = int(itPrev - undersat_oil_tables_[iPrev][0].begin());
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slopePrevBinv = (undersat_oil_tables_[iPrev][1][index] - undersat_oil_tables_[iPrev][1][index-1])/dPPrev;
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slopePrevVisc = (undersat_oil_tables_[iPrev][2][index] - undersat_oil_tables_[iPrev][2][index-1])/dPPrev;
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}
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if (flagNext) {
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std::vector<double>::iterator itNext = upper_bound(undersat_oil_tables_[iNext][0].begin(),
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undersat_oil_tables_[iNext][0].end(),pressure0+1.);
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if (itNext == undersat_oil_tables_[iNext][0].end()) {
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--itNext; // Extrapolation ...
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} else if (itNext == undersat_oil_tables_[iNext][0].begin()) {
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++itNext;
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}
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if (itNext == undersat_oil_tables_[iNext][0].end()-1) {
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flagNext = false; // Last data set for "next" ...
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}
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double dPNext = *itNext - *(itNext-1);
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if (flagPrev) {
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pressure = std::min(pressure,*itNext);
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} else {
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pressure = *itNext;
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}
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int index = int(itNext - undersat_oil_tables_[iNext][0].begin());
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slopeNextBinv = (undersat_oil_tables_[iNext][1][index] - undersat_oil_tables_[iNext][1][index-1])/dPNext;
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slopeNextVisc = (undersat_oil_tables_[iNext][2][index] - undersat_oil_tables_[iNext][2][index-1])/dPNext;
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}
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double dP = pressure - pressure0;
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if (iPrev >= 0) {
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double w = (saturated_oil_table_[3][i] - saturated_oil_table_[3][iPrev]) /
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(saturated_oil_table_[3][iNext] - saturated_oil_table_[3][iPrev]);
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undersat_oil_tables_[i][0].push_back(pressure0+dP);
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undersat_oil_tables_[i][1].push_back(undersat_oil_tables_[i][1].back() +
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dP*(slopePrevBinv+w*(slopeNextBinv-slopePrevBinv)));
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undersat_oil_tables_[i][2].push_back(undersat_oil_tables_[i][2].back() +
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dP*(slopePrevVisc+w*(slopeNextVisc-slopePrevVisc)));
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} else {
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undersat_oil_tables_[i][0].push_back(pressure0+dP);
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undersat_oil_tables_[i][1].push_back(undersat_oil_tables_[i][1].back()+dP*slopeNextBinv);
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undersat_oil_tables_[i][2].push_back(undersat_oil_tables_[i][2].back()+dP*slopeNextVisc);
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}
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}
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}
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}
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/// Destructor.
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SinglePvtLiveOil::~SinglePvtLiveOil()
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{
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}
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/// Viscosity as a function of p and z.
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void SinglePvtLiveOil::mu(const int n,
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const double* p,
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const double* z,
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double* output_mu) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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output_mu[i] = miscible_oil(p[i], z + num_phases_*i, 2, false);
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}
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}
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/// Viscosity and its derivatives as a function of p and r.
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void SinglePvtLiveOil::mu(const int n,
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const double* p,
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const double* r,
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double* output_mu,
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double* output_dmudp,
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double* output_dmudr) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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output_mu[i] = miscible_oil(p[i], r[i], 2, 0);
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output_dmudp[i] = miscible_oil(p[i], r[i], 2, 1);
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output_dmudr[i] = miscible_oil(p[i], r[i], 2, 2);
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}
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}
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/// Formation volume factor as a function of p and z.
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void SinglePvtLiveOil::B(const int n,
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const double* p,
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const double* z,
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double* output_B) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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output_B[i] = evalB(p[i], z + num_phases_*i);
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}
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}
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/// Formation volume factor and p-derivative as functions of p and z.
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void SinglePvtLiveOil::dBdp(const int n,
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const double* p,
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const double* z,
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double* output_B,
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double* output_dBdp) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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evalBDeriv(p[i], z + num_phases_*i, output_B[i], output_dBdp[i]);
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}
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}
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void SinglePvtLiveOil::b(const int n,
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const double* p,
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const double* r,
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double* output_b,
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double* output_dbdp,
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double* output_dbdr) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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output_b[i] = miscible_oil(p[i], r[i], 1, 0);
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output_dbdp[i] = miscible_oil(p[i], r[i], 1, 1);
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output_dbdr[i] = miscible_oil(p[i], r[i], 1, 2);
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}
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}
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void SinglePvtLiveOil::rbub(const int n,
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const double* p,
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double* output_rbub,
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double* output_drbubdp) const
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{
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for (int i = 0; i < n; ++i) {
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output_rbub[i] = linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[3],p[i]);
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output_drbubdp[i] = linearInterpolationDerivative(saturated_oil_table_[0],
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saturated_oil_table_[3],p[i]);
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}
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}
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/// Solution factor as a function of p and z.
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void SinglePvtLiveOil::R(const int n,
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const double* p,
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const double* z,
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double* output_R) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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output_R[i] = evalR(p[i], z + num_phases_*i);
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}
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}
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/// Solution factor and p-derivative as functions of p and z.
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void SinglePvtLiveOil::dRdp(const int n,
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const double* p,
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const double* z,
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double* output_R,
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double* output_dRdp) const
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{
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// #pragma omp parallel for
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for (int i = 0; i < n; ++i) {
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evalRDeriv(p[i], z + num_phases_*i, output_R[i], output_dRdp[i]);
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}
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}
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// ---- Private methods ----
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double SinglePvtLiveOil::evalB(double press, const double* surfvol) const
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{
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// if (surfvol[phase_pos_[Liquid]] == 0.0) return 1.0; // To handle no-oil case.
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return 1.0/miscible_oil(press, surfvol, 1, false);
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}
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void SinglePvtLiveOil::evalBDeriv(const double press, const double* surfvol,
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double& Bval, double& dBdpval) const
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{
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Bval = evalB(press, surfvol);
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dBdpval = -Bval*Bval*miscible_oil(press, surfvol, 1, true);
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}
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double SinglePvtLiveOil::evalR(double press, const double* surfvol) const
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{
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if (surfvol[phase_pos_[Vapour]] == 0.0) {
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return 0.0;
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}
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double Rval = linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[3], press);
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double maxR = surfvol[phase_pos_[Vapour]]/surfvol[phase_pos_[Liquid]];
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if (Rval < maxR ) { // Saturated case
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return Rval;
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} else {
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return maxR; // Undersaturated case
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}
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}
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void SinglePvtLiveOil::evalRDeriv(const double press, const double* surfvol,
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double& Rval, double& dRdpval) const
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{
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if (surfvol[phase_pos_[Vapour]] == 0.0) {
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Rval = 0.0;
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dRdpval = 0.0;
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return;
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}
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Rval = linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[3], press);
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double maxR = surfvol[phase_pos_[Vapour]]/surfvol[phase_pos_[Liquid]];
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if (Rval < maxR ) {
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// Saturated case
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dRdpval = linearInterpolationDerivative(saturated_oil_table_[0],
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saturated_oil_table_[3],
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press);
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} else {
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// Undersaturated case
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Rval = maxR;
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dRdpval = 0.0;
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}
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}
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double SinglePvtLiveOil::miscible_oil(const double press,
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const double* surfvol,
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const int item,
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const bool deriv) const
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{
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int section;
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double Rval = linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[3],
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press, section);
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double maxR = (surfvol[phase_pos_[Liquid]] == 0.0) ? 0.0 : surfvol[phase_pos_[Vapour]]/surfvol[phase_pos_[Liquid]];
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if (deriv) {
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if (Rval < maxR ) { // Saturated case
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return linearInterpolationDerivative(saturated_oil_table_[0],
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saturated_oil_table_[item],
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press);
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} else { // Undersaturated case
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int is = tableIndex(saturated_oil_table_[3], maxR);
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double w = (maxR - saturated_oil_table_[3][is]) /
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(saturated_oil_table_[3][is+1] - saturated_oil_table_[3][is]);
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assert(undersat_oil_tables_[is][0].size() >= 2);
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assert(undersat_oil_tables_[is+1][0].size() >= 2);
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double val1 =
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linearInterpolationDerivative(undersat_oil_tables_[is][0],
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undersat_oil_tables_[is][item],
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press);
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double val2 =
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linearInterpolationDerivative(undersat_oil_tables_[is+1][0],
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undersat_oil_tables_[is+1][item],
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press);
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double val = val1 + w*(val2 - val1);
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return val;
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}
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} else {
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if (Rval < maxR ) { // Saturated case
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return linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[item],
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press);
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} else { // Undersaturated case
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// Interpolate between table sections
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int is = tableIndex(saturated_oil_table_[3], maxR);
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double w = (maxR - saturated_oil_table_[3][is]) /
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(saturated_oil_table_[3][is+1] - saturated_oil_table_[3][is]);
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assert(undersat_oil_tables_[is][0].size() >= 2);
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assert(undersat_oil_tables_[is+1][0].size() >= 2);
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double val1 =
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linearInterpolation(undersat_oil_tables_[is][0],
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undersat_oil_tables_[is][item],
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press);
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double val2 =
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linearInterpolation(undersat_oil_tables_[is+1][0],
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undersat_oil_tables_[is+1][item],
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press);
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double val = val1 + w*(val2 - val1);
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return val;
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}
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}
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}
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double SinglePvtLiveOil::miscible_oil(const double press,
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const double r,
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const int item,
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const int deriv) const
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{
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int section;
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double Rval = linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[3],
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press, section);
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// derivative with respect to frist component (pressure)
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if (deriv == 1) {
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if (Rval < r ) { // Saturated case
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return linearInterpolationDerivative(saturated_oil_table_[0],
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saturated_oil_table_[item],
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press);
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} else { // Undersaturated case
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int is = tableIndex(saturated_oil_table_[3], r);
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double w = (r - saturated_oil_table_[3][is]) /
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(saturated_oil_table_[3][is+1] - saturated_oil_table_[3][is]);
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assert(undersat_oil_tables_[is][0].size() >= 2);
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assert(undersat_oil_tables_[is+1][0].size() >= 2);
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double val1 =
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linearInterpolationDerivative(undersat_oil_tables_[is][0],
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undersat_oil_tables_[is][item],
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press);
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double val2 =
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linearInterpolationDerivative(undersat_oil_tables_[is+1][0],
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undersat_oil_tables_[is+1][item],
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press);
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double val = val1 + w*(val2 - val1);
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return val;
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}
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// derivative with respect to second component (r)
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} else if (deriv == 2) {
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if (Rval < r ) { // Saturated case
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return 0;
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} else { // Undersaturated case
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int is = tableIndex(saturated_oil_table_[3], r);
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assert(undersat_oil_tables_[is][0].size() >= 2);
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assert(undersat_oil_tables_[is+1][0].size() >= 2);
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double val1 =
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linearInterpolation(undersat_oil_tables_[is][0],
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undersat_oil_tables_[is][item],
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press);
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double val2 =
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linearInterpolation(undersat_oil_tables_[is+1][0],
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undersat_oil_tables_[is+1][item],
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press);
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double val = (val2 - val1)/(saturated_oil_table_[3][is+1]-saturated_oil_table_[3][is]);
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return val;
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}
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} else {
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if (Rval < r ) { // Saturated case
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return linearInterpolation(saturated_oil_table_[0],
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saturated_oil_table_[item],
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press);
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} else { // Undersaturated case
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// Interpolate between table sections
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int is = tableIndex(saturated_oil_table_[3], r);
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double w = (r - saturated_oil_table_[3][is]) /
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(saturated_oil_table_[3][is+1] - saturated_oil_table_[3][is]);
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assert(undersat_oil_tables_[is][0].size() >= 2);
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assert(undersat_oil_tables_[is+1][0].size() >= 2);
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double val1 =
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linearInterpolation(undersat_oil_tables_[is][0],
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undersat_oil_tables_[is][item],
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press);
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double val2 =
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linearInterpolation(undersat_oil_tables_[is+1][0],
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undersat_oil_tables_[is+1][item],
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press);
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double val = val1 + w*(val2 - val1);
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return val;
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}
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}
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}
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} // namespace Opm
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