Multiple Particle Retention Mechanisms during Filtration in Porous Media

Abstract

A statistical model for filtration in porous media is proposed and analytical solutions for particle concentrations are derived. The proposed model takes multiple particle capture mechanisms into account and allows a fundamental physical interpretation of the filtration coefficients. Considering two distinct particle capture mechanisms, the inverse problem solution was discussed and applied to determine the filtration coefficients by fitting experimental data from the literature. Finally, a comparison between the classic and proposed model predictions led to the conclusion that the proposed model showed better agreement with experimental data.