Macrokinetics of trapping in the cyclic effective medium model

Abstract

In [1] an average model of the trapping process interpreted as a phase transition with intrinsic kinetic time was proposed. The structure of the kinetic coefficients was revealed for the simplest model of a porous medium in the form of a system of doublets. The limitations of the doublet model include both the simplified determination of the velocity field and the obligatory formation of a trap when water travels through a doublet. The effective medium variant proposed below is a more complicated model of the medium which makes it possible to describe the macrokinetics of trapping. This variant, designated the cyclic effective medium model, differs from the classical variant [2] in that it makes it possible to describe unsteady transport processes. The cyclic effective medium model permits the description of new qualitative regularities of the trapping process.