Solution of Direct and Inverse Problems for Infiltration and Contaminant Adsorption in Partially Saturated Porous Media

Abstract

We discuss the numerical modelling of unsaturated-saturated flow in porous media and contaminant transport with adsorption in 1D. We developed an efficient numerical approximation which is a good candidate for solving inverse problems involving the determination of model parameters (hydraulic and geochemical). Also an adsorption/desorption model for mass transfer through the boundary of porous media (contact solid-liquid) is discussed, too. Our numerical solution is based on the MOL method where space discretization leads to the corresponding system of ODE. To collect the measurement data for inverse problems we consider both the gravitational and centrifugal infiltration driven forces. In series of numerical experiments we demonstrate the effectiveness of our method.