/* Copyright 2012 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 . */ #include #include #include #include #include #include #include #include namespace Opm { void SatFuncSimpleUniform::init(const EclipseGridParser& deck, const int table_num, const PhaseUsage phase_usg, const int samples) { phase_usage = phase_usg; double swco = 0.0; double swmax = 1.0; if (phase_usage.phase_used[Aqua]) { const SWOF::table_t& swof_table = deck.getSWOF().swof_; const std::vector& sw = swof_table[table_num][0]; const std::vector& krw = swof_table[table_num][1]; const std::vector& krow = swof_table[table_num][2]; const std::vector& pcow = swof_table[table_num][3]; buildUniformMonotoneTable(sw, krw, samples, krw_); buildUniformMonotoneTable(sw, krow, samples, krow_); buildUniformMonotoneTable(sw, pcow, samples, pcow_); krocw_ = krow[0]; // At connate water -> ecl. SWOF swco = sw[0]; smin_[phase_usage.phase_pos[Aqua]] = sw[0]; swmax = sw.back(); smax_[phase_usage.phase_pos[Aqua]] = sw.back(); } if (phase_usage.phase_used[Vapour]) { const SGOF::table_t& sgof_table = deck.getSGOF().sgof_; const std::vector& sg = sgof_table[table_num][0]; const std::vector& krg = sgof_table[table_num][1]; const std::vector& krog = sgof_table[table_num][2]; const std::vector& pcog = sgof_table[table_num][3]; buildUniformMonotoneTable(sg, krg, samples, krg_); buildUniformMonotoneTable(sg, krog, samples, krog_); buildUniformMonotoneTable(sg, pcog, samples, pcog_); smin_[phase_usage.phase_pos[Vapour]] = sg[0]; if (std::fabs(sg.back() + swco - 1.0) > 1e-3) { THROW("Gas maximum saturation in SGOF table = " << sg.back() << ", should equal (1.0 - connate water sat) = " << (1.0 - swco)); } smax_[phase_usage.phase_pos[Vapour]] = sg.back(); } // These only consider water min/max sats. Consider gas sats? smin_[phase_usage.phase_pos[Liquid]] = 1.0 - swmax; smax_[phase_usage.phase_pos[Liquid]] = 1.0 - swco; } void SatFuncSimpleUniform::evalKr(const double* s, double* kr) const { if (phase_usage.num_phases == 3) { // A simplified relative permeability model. double sw = s[Aqua]; double sg = s[Vapour]; double krw = krw_(sw); double krg = krg_(sg); double krow = krow_(sw + sg); // = 1 - so // double krog = krog_(sg); // = 1 - so - sw // double krocw = krocw_; kr[Aqua] = krw; kr[Vapour] = krg; kr[Liquid] = krow; if (kr[Liquid] < 0.0) { kr[Liquid] = 0.0; } return; } // We have a two-phase situation. We know that oil is active. if (phase_usage.phase_used[Aqua]) { int wpos = phase_usage.phase_pos[Aqua]; int opos = phase_usage.phase_pos[Liquid]; double sw = s[wpos]; double krw = krw_(sw); double krow = krow_(sw); kr[wpos] = krw; kr[opos] = krow; } else { ASSERT(phase_usage.phase_used[Vapour]); int gpos = phase_usage.phase_pos[Vapour]; int opos = phase_usage.phase_pos[Liquid]; double sg = s[gpos]; double krg = krg_(sg); double krog = krog_(sg); kr[gpos] = krg; kr[opos] = krog; } } void SatFuncSimpleUniform::evalKrDeriv(const double* s, double* kr, double* dkrds) const { const int np = phase_usage.num_phases; std::fill(dkrds, dkrds + np*np, 0.0); if (np == 3) { // A simplified relative permeability model. double sw = s[Aqua]; double sg = s[Vapour]; double krw = krw_(sw); double dkrww = krw_.derivative(sw); double krg = krg_(sg); double dkrgg = krg_.derivative(sg); double krow = krow_(sw + sg); double dkrow = krow_.derivative(sw + sg); // double krog = krog_(sg); // double dkrog = krog_.derivative(sg); // double krocw = krocw_; kr[Aqua] = krw; kr[Vapour] = krg; kr[Liquid] = krow; //krocw*((krow/krocw + krw)*(krog/krocw + krg) - krw - krg); if (kr[Liquid] < 0.0) { kr[Liquid] = 0.0; } dkrds[Aqua + Aqua*np] = dkrww; dkrds[Vapour + Vapour*np] = dkrgg; //dkrds[Liquid + Aqua*np] = dkrow; dkrds[Liquid + Liquid*np] = -dkrow; //krocw*((dkrow/krocw + dkrww)*(krog/krocw + krg) - dkrww); dkrds[Liquid + Vapour*np] = 0.0; //krocw*((krow/krocw + krw)*(dkrog/krocw + dkrgg) - dkrgg) //+ krocw*((dkrow/krocw + krw)*(krog/krocw + krg) - dkrgg); return; } // We have a two-phase situation. We know that oil is active. if (phase_usage.phase_used[Aqua]) { int wpos = phase_usage.phase_pos[Aqua]; int opos = phase_usage.phase_pos[Liquid]; double sw = s[wpos]; double krw = krw_(sw); double dkrww = krw_.derivative(sw); double krow = krow_(sw); double dkrow = krow_.derivative(sw); kr[wpos] = krw; kr[opos] = krow; dkrds[wpos + wpos*np] = dkrww; dkrds[opos + wpos*np] = dkrow; // Row opos, column wpos, fortran order. } else { ASSERT(phase_usage.phase_used[Vapour]); int gpos = phase_usage.phase_pos[Vapour]; int opos = phase_usage.phase_pos[Liquid]; double sg = s[gpos]; double krg = krg_(sg); double dkrgg = krg_.derivative(sg); double krog = krog_(sg); double dkrog = krog_.derivative(sg); kr[gpos] = krg; kr[opos] = krog; dkrds[gpos + gpos*np] = dkrgg; dkrds[opos + gpos*np] = dkrog; } } void SatFuncSimpleUniform::evalPc(const double* s, double* pc) const { pc[phase_usage.phase_pos[Liquid]] = 0.0; if (phase_usage.phase_used[Aqua]) { int pos = phase_usage.phase_pos[Aqua]; pc[pos] = pcow_(s[pos]); } if (phase_usage.phase_used[Vapour]) { int pos = phase_usage.phase_pos[Vapour]; pc[pos] = pcog_(s[pos]); } } void SatFuncSimpleUniform::evalPcDeriv(const double* s, double* pc, double* dpcds) const { // The problem of determining three-phase capillary pressures // is very hard experimentally, usually one extends two-phase // data (as for relative permeability). // In our approach the derivative matrix is quite sparse, only // the diagonal elements corresponding to non-oil phases are // (potentially) nonzero. const int np = phase_usage.num_phases; std::fill(dpcds, dpcds + np*np, 0.0); pc[phase_usage.phase_pos[Liquid]] = 0.0; if (phase_usage.phase_used[Aqua]) { int pos = phase_usage.phase_pos[Aqua]; pc[pos] = pcow_(s[pos]); dpcds[np*pos + pos] = pcow_.derivative(s[pos]); } if (phase_usage.phase_used[Vapour]) { int pos = phase_usage.phase_pos[Vapour]; pc[pos] = pcog_(s[pos]); dpcds[np*pos + pos] = pcog_.derivative(s[pos]); } } // ====== Methods for SatFuncSimpleNonuniform ====== void SatFuncSimpleNonuniform::init(const EclipseGridParser& deck, const int table_num, const PhaseUsage phase_usg, const int /*samples*/) { phase_usage = phase_usg; double swco = 0.0; double swmax = 1.0; if (phase_usage.phase_used[Aqua]) { const SWOF::table_t& swof_table = deck.getSWOF().swof_; const std::vector& sw = swof_table[table_num][0]; const std::vector& krw = swof_table[table_num][1]; const std::vector& krow = swof_table[table_num][2]; const std::vector& pcow = swof_table[table_num][3]; krw_ = NonuniformTableLinear(sw, krw); krow_ = NonuniformTableLinear(sw, krow); pcow_ = NonuniformTableLinear(sw, pcow); krocw_ = krow[0]; // At connate water -> ecl. SWOF swco = sw[0]; smin_[phase_usage.phase_pos[Aqua]] = sw[0]; swmax = sw.back(); smax_[phase_usage.phase_pos[Aqua]] = sw.back(); } if (phase_usage.phase_used[Vapour]) { const SGOF::table_t& sgof_table = deck.getSGOF().sgof_; const std::vector& sg = sgof_table[table_num][0]; const std::vector& krg = sgof_table[table_num][1]; const std::vector& krog = sgof_table[table_num][2]; const std::vector& pcog = sgof_table[table_num][3]; krg_ = NonuniformTableLinear(sg, krg); krog_ = NonuniformTableLinear(sg, krog); pcog_ = NonuniformTableLinear(sg, pcog); smin_[phase_usage.phase_pos[Vapour]] = sg[0]; if (std::fabs(sg.back() + swco - 1.0) > 1e-3) { THROW("Gas maximum saturation in SGOF table = " << sg.back() << ", should equal (1.0 - connate water sat) = " << (1.0 - swco)); } smax_[phase_usage.phase_pos[Vapour]] = sg.back(); } // These only consider water min/max sats. Consider gas sats? smin_[phase_usage.phase_pos[Liquid]] = 1.0 - swmax; smax_[phase_usage.phase_pos[Liquid]] = 1.0 - swco; } void SatFuncSimpleNonuniform::evalKr(const double* s, double* kr) const { if (phase_usage.num_phases == 3) { // A simplified relative permeability model. double sw = s[Aqua]; double sg = s[Vapour]; double krw = krw_(sw); double krg = krg_(sg); double krow = krow_(sw + sg); // = 1 - so // double krog = krog_(sg); // = 1 - so - sw // double krocw = krocw_; kr[Aqua] = krw; kr[Vapour] = krg; kr[Liquid] = krow; if (kr[Liquid] < 0.0) { kr[Liquid] = 0.0; } return; } // We have a two-phase situation. We know that oil is active. if (phase_usage.phase_used[Aqua]) { int wpos = phase_usage.phase_pos[Aqua]; int opos = phase_usage.phase_pos[Liquid]; double sw = s[wpos]; double krw = krw_(sw); double krow = krow_(sw); kr[wpos] = krw; kr[opos] = krow; } else { ASSERT(phase_usage.phase_used[Vapour]); int gpos = phase_usage.phase_pos[Vapour]; int opos = phase_usage.phase_pos[Liquid]; double sg = s[gpos]; double krg = krg_(sg); double krog = krog_(sg); kr[gpos] = krg; kr[opos] = krog; } } void SatFuncSimpleNonuniform::evalKrDeriv(const double* s, double* kr, double* dkrds) const { const int np = phase_usage.num_phases; std::fill(dkrds, dkrds + np*np, 0.0); if (np == 3) { // A simplified relative permeability model. double sw = s[Aqua]; double sg = s[Vapour]; double krw = krw_(sw); double dkrww = krw_.derivative(sw); double krg = krg_(sg); double dkrgg = krg_.derivative(sg); double krow = krow_(sw + sg); double dkrow = krow_.derivative(sw + sg); // double krog = krog_(sg); // double dkrog = krog_.derivative(sg); // double krocw = krocw_; kr[Aqua] = krw; kr[Vapour] = krg; kr[Liquid] = krow; //krocw*((krow/krocw + krw)*(krog/krocw + krg) - krw - krg); if (kr[Liquid] < 0.0) { kr[Liquid] = 0.0; } dkrds[Aqua + Aqua*np] = dkrww; dkrds[Vapour + Vapour*np] = dkrgg; //dkrds[Liquid + Aqua*np] = dkrow; dkrds[Liquid + Liquid*np] = -dkrow; //krocw*((dkrow/krocw + dkrww)*(krog/krocw + krg) - dkrww); dkrds[Liquid + Vapour*np] = 0.0; //krocw*((krow/krocw + krw)*(dkrog/krocw + dkrgg) - dkrgg) //+ krocw*((dkrow/krocw + krw)*(krog/krocw + krg) - dkrgg); return; } // We have a two-phase situation. We know that oil is active. if (phase_usage.phase_used[Aqua]) { int wpos = phase_usage.phase_pos[Aqua]; int opos = phase_usage.phase_pos[Liquid]; double sw = s[wpos]; double krw = krw_(sw); double dkrww = krw_.derivative(sw); double krow = krow_(sw); double dkrow = krow_.derivative(sw); kr[wpos] = krw; kr[opos] = krow; dkrds[wpos + wpos*np] = dkrww; dkrds[opos + wpos*np] = dkrow; // Row opos, column wpos, fortran order. } else { ASSERT(phase_usage.phase_used[Vapour]); int gpos = phase_usage.phase_pos[Vapour]; int opos = phase_usage.phase_pos[Liquid]; double sg = s[gpos]; double krg = krg_(sg); double dkrgg = krg_.derivative(sg); double krog = krog_(sg); double dkrog = krog_.derivative(sg); kr[gpos] = krg; kr[opos] = krog; dkrds[gpos + gpos*np] = dkrgg; dkrds[opos + gpos*np] = dkrog; } } void SatFuncSimpleNonuniform::evalPc(const double* s, double* pc) const { pc[phase_usage.phase_pos[Liquid]] = 0.0; if (phase_usage.phase_used[Aqua]) { int pos = phase_usage.phase_pos[Aqua]; pc[pos] = pcow_(s[pos]); } if (phase_usage.phase_used[Vapour]) { int pos = phase_usage.phase_pos[Vapour]; pc[pos] = pcog_(s[pos]); } } void SatFuncSimpleNonuniform::evalPcDeriv(const double* s, double* pc, double* dpcds) const { // The problem of determining three-phase capillary pressures // is very hard experimentally, usually one extends two-phase // data (as for relative permeability). // In our approach the derivative matrix is quite sparse, only // the diagonal elements corresponding to non-oil phases are // (potentially) nonzero. const int np = phase_usage.num_phases; std::fill(dpcds, dpcds + np*np, 0.0); pc[phase_usage.phase_pos[Liquid]] = 0.0; if (phase_usage.phase_used[Aqua]) { int pos = phase_usage.phase_pos[Aqua]; pc[pos] = pcow_(s[pos]); dpcds[np*pos + pos] = pcow_.derivative(s[pos]); } if (phase_usage.phase_used[Vapour]) { int pos = phase_usage.phase_pos[Vapour]; pc[pos] = pcog_(s[pos]); dpcds[np*pos + pos] = pcog_.derivative(s[pos]); } } } // namespace Opm