Determination of Adsorption Isotherms in 3D Cylindrical Porous Media

TWe discuss the numerical modelling of contaminant transport in unsaturated porous media in 3D. The mathematical model represents water mass balance and conservation of contaminant, which is expressed by coupled non-linear system of parabolic-elliptic equations. Mathematical model for water transport in unsaturated porous media is represented by Richard?s type equation. Also diffusion of contaminant in matrix could be included. The adsorption isotherms are generally non-linear, containing the tuning parameters underlying to determination. We determine these parameters by the methods of inverse problems. A successful experiment scenario is suggested to determine the required parameters. Used complex model in 3D requires also determination of dispersion coefficients. This problem together with suitable experiment scenario is discussed too. The obtained experiments support our method. We have discussed the adsorption problem in 1D model before, but preferential streamlines in 1D thin tubes shadow accurate results in determination of required parameters.