Abstract: This paper studies sphere symmetry dispersion problem. In the mathematical model the micro-aggregates of porous media are considered. The micro-aggregate plays a role of general adsorption, and in transportation process of solute it results in retardation of concentration wave. In this paper five kinds of micro-aggregates are concerned, i.e. local equilibrium sorption model, first-order rate-limited sorption model, parallel layer diffusion model, cylindrical diffusion model and spherical diffusion model. Th...