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428 lines
16 KiB
C++
428 lines
16 KiB
C++
/*
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Copyright 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/polymer/PolymerProperties.hpp>
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#include <cmath>
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#include <vector>
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#include <opm/core/utility/linearInterpolation.hpp>
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#include <opm/core/utility/ErrorMacros.hpp>
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#include <opm/core/utility/Exceptions.hpp>
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namespace Opm
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{
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double PolymerProperties::cMax() const
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{
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return c_max_;
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}
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double PolymerProperties::mixParam() const
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{
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return mix_param_;
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}
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double PolymerProperties::rockDensity() const
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{
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return rock_density_;
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}
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double PolymerProperties::deadPoreVol() const
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{
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return dead_pore_vol_;
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}
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double PolymerProperties::resFactor() const
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{
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return res_factor_;
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}
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double PolymerProperties::cMaxAds() const
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{
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return c_max_ads_;
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}
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int PolymerProperties::adsIndex() const
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{
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return ads_index_;
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}
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const std::vector<double>&
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PolymerProperties::shearWaterVelocity() const
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{
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return water_vel_vals_;
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}
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const std::vector<double>&
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PolymerProperties::shearViscosityReductionFactor() const
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{
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return shear_vrf_vals_;
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}
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double PolymerProperties:: plyshlogRefConc() const
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{
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return plyshlog_ref_conc_;
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}
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bool PolymerProperties::hasPlyshlogRefSalinity() const
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{
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return has_plyshlog_ref_salinity_;
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}
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bool PolymerProperties::hasPlyshlogRefTemp() const
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{
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return has_plyshlog_ref_temp_;
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}
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double PolymerProperties::plyshlogRefSalinity() const
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{
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return plyshlog_ref_salinity_;
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}
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double PolymerProperties::plyshlogRefTemp() const
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{
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return plyshlog_ref_temp_;
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}
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bool PolymerProperties::hasPlyshlog() const
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{
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return has_plyshlog_;
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}
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bool PolymerProperties::hasShrate() const
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{
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return has_shrate_;
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}
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double PolymerProperties::shrate() const
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{
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return shrate_;
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}
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double
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PolymerProperties::shearVrf(const double velocity) const
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{
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return Opm::linearInterpolation(water_vel_vals_, shear_vrf_vals_, velocity);
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}
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double
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PolymerProperties::shearVrfWithDer(const double velocity, double& der) const
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{
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der = Opm::linearInterpolationDerivative(water_vel_vals_, shear_vrf_vals_, velocity);
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return Opm::linearInterpolation(water_vel_vals_, shear_vrf_vals_, velocity);
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}
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double PolymerProperties::viscMult(double c) const
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{
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return Opm::linearInterpolation(c_vals_visc_, visc_mult_vals_, c);
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}
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double PolymerProperties::viscMultWithDer(double c, double* der) const
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{
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*der = Opm::linearInterpolationDerivative(c_vals_visc_, visc_mult_vals_, c);
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return Opm::linearInterpolation(c_vals_visc_, visc_mult_vals_, c);
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}
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void PolymerProperties::simpleAdsorption(double c, double& c_ads) const
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{
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double dummy;
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simpleAdsorptionBoth(c, c_ads, dummy, false);
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}
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void PolymerProperties::simpleAdsorptionWithDer(double c, double& c_ads,
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double& dc_ads_dc) const
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{
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simpleAdsorptionBoth(c, c_ads, dc_ads_dc, true);
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}
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void PolymerProperties::simpleAdsorptionBoth(double c, double& c_ads,
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double& dc_ads_dc, bool if_with_der) const
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{
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c_ads = Opm::linearInterpolation(c_vals_ads_, ads_vals_, c);;
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if (if_with_der) {
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dc_ads_dc = Opm::linearInterpolationDerivative(c_vals_ads_, ads_vals_, c);
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} else {
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dc_ads_dc = 0.;
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}
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}
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void PolymerProperties::adsorption(double c, double cmax, double& c_ads) const
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{
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double dummy;
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adsorptionBoth(c, cmax, c_ads, dummy, false);
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}
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void PolymerProperties::adsorptionWithDer(double c, double cmax,
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double& c_ads, double& dc_ads_dc) const
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{
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adsorptionBoth(c, cmax, c_ads, dc_ads_dc, true);
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}
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void PolymerProperties::adsorptionBoth(double c, double cmax,
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double& c_ads, double& dc_ads_dc,
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bool if_with_der) const
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{
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if (ads_index_ == Desorption) {
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simpleAdsorptionBoth(c, c_ads, dc_ads_dc, if_with_der);
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} else if (ads_index_ == NoDesorption) {
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simpleAdsorptionBoth(std::max(c, cmax), c_ads, dc_ads_dc, if_with_der);
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} else {
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OPM_THROW(std::runtime_error, "Invalid Adsoption index");
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}
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}
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void PolymerProperties::effectiveVisc(const double c, const double* visc, double& mu_w_eff) const {
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effectiveInvVisc(c, visc, mu_w_eff);
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mu_w_eff = 1./mu_w_eff;
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}
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void PolymerProperties::effectiveViscWithDer(const double c, const double* visc, double& mu_w_eff, double dmu_w_eff_dc) const {
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effectiveInvViscWithDer(c, visc, mu_w_eff, dmu_w_eff_dc);
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mu_w_eff = 1./mu_w_eff;
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dmu_w_eff_dc = -dmu_w_eff_dc*mu_w_eff*mu_w_eff;
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}
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void PolymerProperties::effectiveInvVisc(const double c, const double* visc, double& inv_mu_w_eff) const
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{
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double dummy;
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effectiveInvViscBoth(c, visc, inv_mu_w_eff, dummy, false);
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}
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void PolymerProperties::effectiveInvViscWithDer(const double c, const double* visc,
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double& inv_mu_w_eff,
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double& dinv_mu_w_eff_dc) const {
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effectiveInvViscBoth(c, visc, inv_mu_w_eff, dinv_mu_w_eff_dc, true);
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}
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void PolymerProperties::effectiveInvViscBoth(const double c, const double* visc,
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double& inv_mu_w_eff,
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double& dinv_mu_w_eff_dc,
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bool if_with_der) const {
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double cbar = c/c_max_;
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double mu_w = visc[0];
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double mu_m;
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double omega = mix_param_;
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double dmu_m_dc;
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if (if_with_der) {
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mu_m = viscMultWithDer(c, &dmu_m_dc)*mu_w;
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dmu_m_dc *= mu_w;
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} else {
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mu_m = viscMult(c)*mu_w;
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}
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double mu_p = viscMult(c_max_)*mu_w;
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double inv_mu_m_omega = std::pow(mu_m, -omega);
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double inv_mu_w_e = inv_mu_m_omega*std::pow(mu_w, omega - 1.);
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double inv_mu_p_eff = inv_mu_m_omega*std::pow(mu_p, omega - 1.);
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inv_mu_w_eff = (1.0 - cbar)*inv_mu_w_e + cbar*inv_mu_p_eff;
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if (if_with_der) {
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double dinv_mu_w_e_dc = -omega*dmu_m_dc*std::pow(mu_m, -omega - 1)*std::pow(mu_w, omega - 1);
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double dinv_mu_p_eff_dc = -omega*dmu_m_dc*std::pow(mu_m, -omega - 1)*std::pow(mu_p, omega - 1);
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dinv_mu_w_eff_dc = (1 - cbar)*dinv_mu_w_e_dc + cbar*dinv_mu_p_eff_dc +
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1/c_max_*(inv_mu_p_eff - inv_mu_w_e);
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}
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}
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void PolymerProperties::effectiveRelperm(const double c,
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const double cmax,
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const double* relperm,
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double& eff_relperm_wat) const {
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double dummy;
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effectiveRelpermBoth(c, cmax, relperm, 0, eff_relperm_wat,
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dummy, dummy, false);
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}
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void PolymerProperties::effectiveRelpermWithDer (const double c,
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const double cmax,
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const double* relperm,
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const double* drelperm_ds,
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double& eff_relperm_wat,
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double& deff_relperm_wat_ds,
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double& deff_relperm_wat_dc) const {
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effectiveRelpermBoth(c, cmax, relperm,
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drelperm_ds, eff_relperm_wat,
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deff_relperm_wat_ds, deff_relperm_wat_dc,
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true);
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}
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void PolymerProperties::effectiveRelpermBoth(const double c,
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const double cmax,
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const double* relperm,
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const double* drelperm_ds,
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double& eff_relperm_wat,
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double& deff_relperm_wat_ds,
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double& deff_relperm_wat_dc,
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bool if_with_der) const {
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double c_ads;
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double dc_ads_dc;
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adsorptionBoth(c, cmax, c_ads, dc_ads_dc, if_with_der);
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double rk = 1 + (res_factor_ - 1)*c_ads/c_max_ads_;
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eff_relperm_wat = relperm[0]/rk;
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if (if_with_der) {
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deff_relperm_wat_ds = (drelperm_ds[0]-drelperm_ds[2])/rk; //derivative with respect to sw
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//\frac{\partial k_{rw_eff}}{\parital c} = -\frac{krw}{rk^2}\frac{(RRF-1)}{c^a_{max}}\frac{\partial c^a}{\partial c}.
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deff_relperm_wat_dc = -(res_factor_ - 1)*dc_ads_dc*relperm[0]/(rk*rk*c_max_ads_);
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} else {
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deff_relperm_wat_ds = -1.0;
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deff_relperm_wat_dc = -1.0;
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}
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}
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void PolymerProperties::effectiveMobilities(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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double* mob) const
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{
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double dummy;
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double dummy_pointer[4];
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effectiveMobilitiesBoth(c, cmax, visc, relperm,
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dummy_pointer, mob, dummy_pointer, dummy, false);
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}
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void PolymerProperties::effectiveMobilitiesWithDer(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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const double* drelpermds,
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double* mob,
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double* dmobds,
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double& dmobwatdc) const
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{
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effectiveMobilitiesBoth(c, cmax, visc,
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relperm, drelpermds, mob, dmobds,
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dmobwatdc, true);
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}
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void PolymerProperties::effectiveMobilitiesBoth(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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const double* drelperm_ds,
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double* mob,
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double* dmob_ds,
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double& dmobwat_dc,
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bool if_with_der) const
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{
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double inv_mu_w_eff;
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double dinv_mu_w_eff_dc;
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effectiveInvViscBoth(c, visc, inv_mu_w_eff, dinv_mu_w_eff_dc, if_with_der);
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double eff_relperm_wat;
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double deff_relperm_wat_ds;
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double deff_relperm_wat_dc;
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effectiveRelpermBoth(c, cmax, relperm,
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drelperm_ds, eff_relperm_wat,
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deff_relperm_wat_ds, deff_relperm_wat_dc,
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if_with_der);
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// The "function" eff_relperm_wat is defined as a function of only sw (so that its
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// partial derivative with respect to so is zero).
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mob[0] = eff_relperm_wat*inv_mu_w_eff;
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mob[1] = relperm[1]/visc[1];
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if (if_with_der) {
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dmobwat_dc = eff_relperm_wat*dinv_mu_w_eff_dc
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+ deff_relperm_wat_dc*inv_mu_w_eff;
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dmob_ds[0*2 + 0] = deff_relperm_wat_ds*inv_mu_w_eff;
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// one have to deside which variables to derive
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// here the full derivative is written out
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dmob_ds[0*2 + 1] = 0.0*(drelperm_ds[0*2 + 1] - drelperm_ds[1*2 + 1])/visc[1];
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dmob_ds[1*2 + 0] = -0.0*deff_relperm_wat_ds*inv_mu_w_eff;
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dmob_ds[1*2 + 1] = (drelperm_ds[1*2 + 1] - drelperm_ds[0*2 + 1])/visc[1];
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}
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}
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void PolymerProperties::effectiveTotalMobility(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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double& totmob) const
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{
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double dummy1[4];
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double dummy2[2];
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effectiveTotalMobilityBoth(c, cmax, visc, relperm, dummy1,
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totmob, dummy2, false);
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}
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void PolymerProperties::effectiveTotalMobilityWithDer(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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const double* drelperm_ds,
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double& totmob,
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double* dtotmob_dsdc) const
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{
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effectiveTotalMobilityBoth(c, cmax, visc, relperm, drelperm_ds,
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totmob, dtotmob_dsdc, true);
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}
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void PolymerProperties::effectiveTotalMobilityBoth(const double c,
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const double cmax,
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const double* visc,
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const double* relperm,
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const double* drelperm_ds,
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double& totmob,
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double* dtotmob_dsdc,
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bool if_with_der) const
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{
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double mob[2];
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double dmob_ds[4];
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double dmobwat_dc;
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effectiveMobilitiesBoth(c, cmax, visc, relperm, drelperm_ds,
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mob, dmob_ds, dmobwat_dc, if_with_der);
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totmob = mob[0] + mob[1];
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if (if_with_der) {
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dtotmob_dsdc[0] = dmob_ds[0*2 + 0] - dmob_ds[1*2 + 0]
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+ dmob_ds[0*2 + 1] - dmob_ds[1*2 + 1]; //derivative with respect to sw
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dtotmob_dsdc[1] = dmobwat_dc; //derivative with respect to c
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}
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}
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void PolymerProperties::computeMc(const double& c, double& mc) const
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{
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double dummy;
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computeMcBoth(c, mc, dummy, false);
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}
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void PolymerProperties::computeMcWithDer(const double& c, double& mc,
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double& dmc_dc) const
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{
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computeMcBoth(c, mc, dmc_dc, true);
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}
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void PolymerProperties::computeMcBoth(const double& c, double& mc,
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double& dmc_dc, bool if_with_der) const
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{
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double cbar = c/c_max_;
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double omega = mix_param_;
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double r = std::pow(viscMult(c_max_), 1 - omega); // viscMult(c_max_)=mu_p/mu_w
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mc = c/(cbar + (1 - cbar)*r);
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if (if_with_der) {
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dmc_dc = r/std::pow(cbar + (1 - cbar)*r, 2);
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} else {
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dmc_dc = 0.;
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}
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}
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}
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