Solution of Some Inverse Problems for Heat and Mass Transport in Unsaturated Porous Media

We discuss the numerical modeling of heat and water transport in unsaturated-saturated porous media with heat exchange between the infiltrated water and porous media matrix. An unsaturated-saturated flow is considered with boundary conditions reflecting the external driven forces. The developed numerical method is efficient and can be used for solving inverse problems concerning determination of hydraulic soil parameters, dispersion coefficients and transmission coefficients for heat energy exchange. Numerical experiments support our method.