Abstract: Solutes transport in porous media is influenced strongly by immobile water and non-equilibrium sorption. The “two-site/two-domain” model is a well and practical model for researching immobile water and nonequilibrium sorption at present. However, till now there isn’t any report about the numerical solution to this model. On the basis of “two-site/two-domain” model, the authors have developed a numerical model named MIENESOR-Mobile-Immobile & Equilibrium Non-Equilibrium Sorption, which emphasizes the equilibrium and non-equilibrium sorption processes of solutes in the soil. The numerical solution and computer program of MIENESOR is supplied on basis of integration of finite element model and finite difference model. The case study of MIENESOR shows that: this model can reflect transport processes in unsaturated and saturated zone; this model is steady and practical.

Key words: mobile water and immobile water, solutes transport, numerical modeling, MIENESOR