ANALYTICAL MODELING OF SPHERE SYMMETRY DISPERSION IN MICRO-AGGREGATES POROUS MEDIA
微结构孔隙介质的球对称弥散问题及其解

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. The model equations are solved in the Laplace domain and numerically inverted to simulate solute concentration distribution nearby an injection well. Related parameters are investigated to see the effects on concentration distribution. Concentration curves are of helpfull to know the characteristic of spherical dispersion problem. The obtained results can provide theoretical base in some engineering fields such as hydrogeology, petroleum engineering and solution mine-extracted and so on.