Transport in Porous Media

Abstract

Transport through porous medium occurs in numerous processes of environmental, chemical, petroleum and civil engineering. A lot of investigations have been done in order to understand the mechanisms of the transport of particulate suspension flow through porous medium. Transport of particulate suspensions and colloids in porous media is accompanied by particle capture and consequent permeability decline. In general, deep bed filtration studies have been conducted to analyse the mechanism involved in the processes of capturing and retaining particles occurs throughout the entire depth of the filter and not just on the filter surface. In this work, the steady-state transport equation is presented and the solution to the complete advective-dispersion equation for particulate suspension flow has been derived for the case of a constant filter coefficient. This model includes transport parameters which are particle advective velocity and particle longitudinal dispersion coefficient. This theoretical investigation of the transport of particles flowing in porous media is limited to flows with low Reynolds number (linear and laminar flow) and high Peclet number.