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Added functions to compute mobilities and coefficient mc (with derivatives).

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This commit is contained in:
Xavier Raynaud 2012-03-20 11:58:09 +01:00
parent 542ed94b84
commit 49b9f340ac
1 changed files with 65 additions and 0 deletions
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65
opm/polymer/PolymerProperties.hpp
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@ -162,6 +162,71 @@ namespace Opm
inv_visc_eff[0] = inv_mu_w_eff;
inv_visc_eff[1] = 1.0/visc[1];
}
void effectiveMobilities(const double c,
const double* visc,
const double* relperm,
const double* drelpermds,
std::vector<double>& mob,
std::vector<double>& dmobds,
double& dmobwatdc) const
{
double cbar = c/c_max_;
double mu_w = visc[0];
double mu_m_dc; // derivative of mu_m with respect to c
double mu_m = viscMultWithDer(c, &mu_m_dc)*mu_w;
mu_m_dc *= mu_w;
double mu_p = viscMult(c_max_)*mu_w;
double omega = mix_param_;
double mu_w_e = std::pow(mu_m, omega)*std::pow(mu_w, 1 - omega);
double mu_w_e_dc = omega*mu_m_dc*std::pow(mu_m, omega - 1)*std::pow(mu_w, 1 - omega);
double mu_p_eff = std::pow(mu_m, omega)*std::pow(mu_p, 1 - omega);
double mu_p_eff_dc = omega*mu_m_dc*std::pow(mu_m, omega - 1)*std::pow(mu_p, 1 - omega);
double mu_w_eff = 1./((1 - cbar)/mu_w_e + cbar/mu_p_eff);
double mu_w_eff_dc = -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))*mu_w_e_dc
+ cbar*(mu_w_eff*mu_w_eff/(mu_p_eff*mu_p_eff))*mu_p_eff_dc;
double visc_eff[2] = { mu_w_eff, visc[1] };
dmobwatdc = - mob[0]*mu_w_eff_dc/(mu_w_eff*mu_w_eff);
mob[0] = relperm[0]/visc_eff[0];
mob[1] = relperm[1]/visc_eff[1];
dmobds[0*2 + 0] = drelpermds[0*2 + 0]/visc_eff[0];
dmobds[0*2 + 1] = drelpermds[0*2 + 1]/visc_eff[1];
dmobds[1*2 + 0] = drelpermds[1*2 + 0]/visc_eff[0];
dmobds[1*2 + 1] = drelpermds[1*2 + 1]/visc_eff[1];
}
void computeMc(const double& c,
const double* visc,
double& mc,
double& dmcdc) const
{
double cbar = c/c_max_;
double mu_w = visc[0];
double mu_m_dc; // derivative of mu_m with respect to c
double mu_m = viscMultWithDer(c, &mu_m_dc)*mu_w;
mu_m_dc *= mu_w;
double mu_p = viscMult(c_max_)*mu_w;
double omega = mix_param_;
double mu_m_omega = std::pow(mu_m, omega);
double mu_m_omega_minus1 = std::pow(mu_m, omega-1);
double mu_w_omega = std::pow(mu_w, 1.0 - omega);
double mu_w_e = mu_m_omega*mu_w_omega;
double mu_w_e_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_w_omega;
double mu_p_omega = std::pow(mu_p, 1.0 - omega);
double mu_p_eff = mu_m_omega*mu_p_omega;
double mu_p_eff_dc = omega*mu_m_dc*mu_m_omega_minus1*mu_p_omega;
double mu_w_eff = 1./((1 - cbar)/mu_w_e + cbar/mu_p_eff);
double inv_mu_w_eff_dc = -mu_w_e_dc/(mu_w_e*mu_w_e)*(1. - cbar) - mu_p_eff_dc/(mu_p_eff*mu_p_eff)*cbar + (1./mu_p_eff - 1./mu_w_e);
double mu_w_eff_dc = -mu_w_eff*mu_w_eff*inv_mu_w_eff_dc;
mc = c*mu_w_eff/mu_p_eff;
dmcdc = mu_w_eff/mu_p_eff + c*mu_w_eff_dc/mu_p_eff - c*mu_p_eff_dc*mu_w_eff/(mu_p_eff*mu_p_eff);
}
private:
double c_max_;