opm-simulators/opm/polymer/PolymerProperties.cpp

308 lines
12 KiB
C++

/*
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 <http://www.gnu.org/licenses/>.
*/
#include <opm/polymer/PolymerProperties.hpp>
#include <cmath>
#include <vector>
#include <opm/core/utility/linearInterpolation.hpp>
namespace Opm
{
double PolymerProperties::cMax() const
{
return c_max_;
}
double PolymerProperties::mixParam() const
{
return mix_param_;
}
double PolymerProperties::rockDensity() const
{
return rock_density_;
}
double PolymerProperties::deadPoreVol() const
{
return dead_pore_vol_;
}
double PolymerProperties::resFactor() const
{
return res_factor_;
}
double PolymerProperties::cMaxAds() const
{
return c_max_ads_;
}
int PolymerProperties::adsIndex() const
{
return ads_index_;
}
double PolymerProperties::viscMult(double c) const
{
return Opm::linearInterpolation(c_vals_visc_, visc_mult_vals_, c);
}
double PolymerProperties::viscMultWithDer(double c, double* der) const
{
*der = Opm::linearInterpolationDerivative(c_vals_visc_, visc_mult_vals_, c);
return Opm::linearInterpolation(c_vals_visc_, visc_mult_vals_, c);
}
void PolymerProperties::simpleAdsorption(double c, double& c_ads) const
{
double dummy;
simpleAdsorptionBoth(c, c_ads, dummy, false);
}
void PolymerProperties::simpleAdsorptionWithDer(double c, double& c_ads,
double& dc_ads_dc) const
{
simpleAdsorptionBoth(c, c_ads, dc_ads_dc, true);
}
void PolymerProperties::simpleAdsorptionBoth(double c, double& c_ads,
double& dc_ads_dc, bool if_with_der) const
{
c_ads = Opm::linearInterpolation(c_vals_ads_, ads_vals_, c);;
if (if_with_der) {
dc_ads_dc = Opm::linearInterpolationDerivative(c_vals_ads_, ads_vals_, c);
} else {
dc_ads_dc = 0.;
}
}
void PolymerProperties::adsorption(double c, double cmax, double& c_ads) const
{
double dummy;
adsorptionBoth(c, cmax, c_ads, dummy, false);
}
void PolymerProperties::adsorptionWithDer(double c, double cmax,
double& c_ads, double& dc_ads_dc) const
{
adsorptionBoth(c, cmax, c_ads, dc_ads_dc, true);
}
void PolymerProperties::adsorptionBoth(double c, double cmax,
double& c_ads, double& dc_ads_dc,
bool if_with_der) const
{
if (ads_index_ == Desorption) {
simpleAdsorptionBoth(c, c_ads, dc_ads_dc, if_with_der);
} else if (ads_index_ == NoDesorption) {
if (c < cmax) {
simpleAdsorption(cmax, c_ads);
dc_ads_dc = 0.;
} else {
simpleAdsorptionBoth(c, c_ads, dc_ads_dc, if_with_der);
}
} else {
THROW("Invalid Adsoption index");
}
}
void PolymerProperties::effectiveVisc(const double c, const double* visc, double* visc_eff) const {
effectiveViscBoth(c, visc, visc_eff, 0, false);
}
void PolymerProperties::effectiveInvVisc(const double c, const double* visc, double* inv_visc_eff) const
{
effectiveViscBoth(c, visc, inv_visc_eff, 0, false);
inv_visc_eff[0] = 1./inv_visc_eff[0];
inv_visc_eff[1] = 1./inv_visc_eff[1];
}
void PolymerProperties::effectiveViscWithDer(const double c, const double* visc, double* visc_eff,
double* dvisc_eff_dc) const {
effectiveViscBoth(c, visc, visc_eff, dvisc_eff_dc, true);
}
void PolymerProperties::effectiveViscBoth(const double c, const double* visc, double* visc_eff,
double* dvisc_eff_dc, bool if_with_der) const
{
double cbar = c/c_max_;
double mu_w = visc[0];
double mu_m;
double omega = mix_param_;
double dmu_m_dc;
if (if_with_der) {
mu_m = viscMultWithDer(c, &dmu_m_dc)*mu_w;
dmu_m_dc *= mu_w;
} else {
mu_m = viscMult(c)*mu_w;
}
double mu_p = viscMult(c_max_)*mu_w;
double mu_m_omega = std::pow(mu_m, mix_param_);
double mu_w_e = mu_m_omega*std::pow(mu_w, 1.0 - mix_param_);
double mu_p_eff = mu_m_omega*std::pow(mu_p, 1.0 - mix_param_);
double mu_w_eff = 1./((1.0 - cbar)/mu_w_e + cbar/mu_p_eff);
visc_eff[0] = mu_w_eff;
visc_eff[1] = visc[1];
if (if_with_der) {
double dmu_w_e_dc = omega*dmu_m_dc*std::pow(mu_m, omega - 1)*std::pow(mu_w, 1 - omega);
double dmu_p_eff_dc = omega*dmu_m_dc*std::pow(mu_m, omega - 1)*std::pow(mu_p, 1 - omega);
dvisc_eff_dc[0] = -1./c_max_*mu_w_eff*mu_w_eff*(1./mu_p_eff - 1./mu_w_e) + (1-cbar)*(mu_w_eff*mu_w_eff/(mu_w_e*mu_w_e))*dmu_w_e_dc + cbar*(mu_w_eff*mu_w_eff/(mu_p_eff*mu_p_eff))*dmu_p_eff_dc;
dvisc_eff_dc[1] = 0.;
} else {
dvisc_eff_dc = 0;
}
}
void PolymerProperties::effectiveRelperm(const double c,
const double cmax,
const double* relperm,
double& eff_relperm_wat) const {
double dummy;
effectiveRelpermBoth(c, cmax, relperm, 0, eff_relperm_wat,
dummy, dummy, false);
}
void PolymerProperties::effectiveRelpermWithDer (const double c,
const double cmax,
const double* relperm,
const double* drelperm_ds,
double& eff_relperm_wat,
double& deff_relperm_wat_ds,
double& deff_relperm_wat_dc) const {
effectiveRelpermBoth(c, cmax, relperm,
drelperm_ds, eff_relperm_wat,
deff_relperm_wat_ds, deff_relperm_wat_dc,
true);
}
void PolymerProperties::effectiveRelpermBoth(const double c,
const double cmax,
const double* relperm,
const double* drelperm_ds,
double& eff_relperm_wat,
double& deff_relperm_wat_ds,
double& deff_relperm_wat_dc,
bool if_with_der) const {
double c_ads;
double dc_ads_dc;
adsorptionBoth(c, cmax, c_ads, dc_ads_dc, if_with_der);
double rk = 1 + (res_factor_ - 1)*c_ads/c_max_ads_;
eff_relperm_wat = relperm[0]/rk;
if (if_with_der) {
deff_relperm_wat_ds = drelperm_ds[0]/rk;
deff_relperm_wat_dc = dc_ads_dc*relperm[0]/(rk*rk*c_max_ads_);
} else {
deff_relperm_wat_ds = -1.0;
deff_relperm_wat_dc = -1.0;
}
}
void PolymerProperties::effectiveMobilities(const double c,
const double cmax,
const double* visc,
const double* relperm,
std::vector<double>& mob) const
{
double dummy1;
double dummy2[2];
std::vector<double> dummy3;
effectiveMobilitiesBoth(c, cmax, visc, relperm,
dummy2, mob, dummy3, dummy1, false);
}
void PolymerProperties::effectiveMobilitiesWithDer(const double c,
const double cmax,
const double* visc,
const double* relperm,
const double* drelpermds,
std::vector<double>& mob,
std::vector<double>& dmobds,
double& dmobwatdc) const
{
effectiveMobilitiesBoth(c, cmax, visc,
relperm, drelpermds, mob,dmobds,
dmobwatdc, true);
}
void PolymerProperties::effectiveMobilitiesBoth(const double c,
const double cmax,
const double* visc,
const double* relperm,
const double* drelperm_ds,
std::vector<double>& mob,
std::vector<double>& dmob_ds,
double& dmobwat_dc,
bool if_with_der) const
{
double visc_eff[2];
double dvisc_eff_dc[2];
effectiveViscBoth(c, visc, visc_eff, dvisc_eff_dc, if_with_der);
double mu_w_eff = visc_eff[0];
double dmu_w_eff_dc = dvisc_eff_dc[0];
double eff_relperm_wat;
double deff_relperm_wat_ds;
double deff_relperm_wat_dc;
effectiveRelpermBoth(c, cmax, relperm,
drelperm_ds, eff_relperm_wat,
deff_relperm_wat_ds, deff_relperm_wat_dc,
if_with_der);
mob[0] = eff_relperm_wat/visc_eff[0];
mob[1] = relperm[1]/visc_eff[1];
if (if_with_der) {
dmobwat_dc = - eff_relperm_wat*dmu_w_eff_dc/(mu_w_eff*mu_w_eff)
+ deff_relperm_wat_dc/mu_w_eff;
dmob_ds[0*2 + 0] = deff_relperm_wat_ds/visc_eff[0];
dmob_ds[0*2 + 1] = -dmob_ds[0*2 + 0];
dmob_ds[1*2 + 0] = drelperm_ds[1*2 + 0]/visc_eff[1];
dmob_ds[1*2 + 1] = drelperm_ds[1*2 + 1]/visc_eff[1];
} else {
dmob_ds.clear();
}
}
void PolymerProperties::computeMc(const double& c, double& mc) const
{
double dummy;
computeMcBoth(c, mc, dummy, false);
}
void PolymerProperties::computeMcWithDer(const double& c, double& mc,
double& dmc_dc) const
{
computeMcBoth(c, mc, dmc_dc, true);
}
void PolymerProperties::computeMcBoth(const double& c, double& mc,
double& dmc_dc, bool if_with_der) const
{
double cbar = c/c_max_;
double omega = mix_param_;
double r = std::pow(viscMult(c_max_), 1 - omega); // viscMult(c_max_)=mu_p/mu_w
mc = c/(cbar + (1 - cbar)*r);
if (if_with_der) {
dmc_dc = r/std::pow(cbar + (1 - cbar)*r, 2);
} else {
dmc_dc = 0.;
}
}
}