Solute spreading in heterogeneous aggregated porous media

Abstract

Solute spreading is studied, in saturated but heterogeneous porous media. The solid matrix is assumed to be composed of bounded obstacles, and the logarithm of the porosity is supposed to be represented by a three-dimensional random process. The latter appears as a parameter in the equation, ruling solute spreading, on the small scale. The concentration of solute, averaged with respect to the process, satisfies an equation which resembles Fourier's law, except that it involves a term, non-local with respect to time. © 2007 Springer.