Two‐medium description of dispersion in heterogeneous porous media: Calculation of macroscopic properties

In this paper, a numerical procedure is proposed to calculate effective properties associated with the generalized two‐equation model developed by Ahmadi et al. [1998]. A transformation of the original closure problems was found that allowed the introduction of a finite volume formulation. Results are presented for a heterogeneous porous medium made up of nodules embedded in a continuous matrix. The properties of the effective parameters are discussed in terms of the influence of the Péclet number, the permeability ratio, and the local‐scale dispersivity. In addition, the problem of the asymptotic behavior of the two‐equation model is discussed in some details. Finally, a comparison is made with results available from the literature in simplified cases.