A PHENOMENOLOGICAL MODEL OF SUSPENSION FILTRATION IN POROUS MEDIUM

Abstract

A suspension filtration problem with modified deposition kinetics in a porous medium is considered. A new model developed, in which “aging” and “charging” phenomena are taken into account in the kinetics of deposition. It is suggested that the process of deposition forming happens with “charging”, transient, “aging” and breakthrough stages and stops when the capacity of filter fills with deposition. To solve the formed system of partial differential equations an algorithm based on finite difference schemes is developed. Based on numerical results the influences of “aging” and “charging” phenomena on suspended particle transport, attachment and detachment characteristics are analysed. AMS Subject Classification: 76S05, 81T80