Stability of porous filter cleaning by vertical flow

Abstract

The paper is devoted to the investigation of the cleaning process of porous media. Equations describing this process are derived on the base of the most popular and experimentally confirmed models for solute transport in porous media (I), fluid flow through porous media (II) and dependence between base parameters of media (porosity and permeability) (III). In the case of the closed domain cleaning the one-dimensional solution is obtained. This solution describes the effective vertical seepage regime. The stability of such a regime is studied by the quasi-static method. The neutral curves and dependences of critical time on problem parameters are obtained.