Calculation of filtration of polydisperse suspension in a porous medium

Ludmila Kuzmina,Yuri Osipov,V Andreev

doi:10.1051/matecconf/20168601005

Abstract

The problem of filtering the suspension in a porous medium is considered. The proposed model for the transport of particles of different sizes is a generalization of deep bed filtration model for a monodisperse suspension with size-exclusion particle capture mechanism. Exact and asymptotic solutions are constructed at the filter inlet and on the concentration front of the suspended and retained particles. Numerical calculation for a suspension with 2-size particles shows that the distribution of deposit in the filter depends on the particle size.

Highlights

Filtration problem is an essential part of the underground hydrodynamics, its study is necessary for the design and construction of dams and hydraulic structures [1]
Depending on the physical properties of the porous medium and the suspension particle retention may be caused by diffusion, electrostatic and gravitational forces, etc [2]
All types of particles transported by fluid flow move with the same velocity, porosity and permeability of the porous medium depend on the particles deposits

Summary

Introduction

Filtration problem is an essential part of the underground hydrodynamics, its study is necessary for the design and construction of dams and hydraulic structures [1]. During filtering of the suspension in the porous medium some particles are retained in the pores and form a deposit. The classical model of deep bed filtration considers the flow of fluid with 1-size particles in a porous media with constant values of porosity and permeability [4]. In a modified filtration model the porosity and permeability of the filter decrease with increasing deposit. All types of particles transported by fluid flow move with the same velocity, porosity and permeability of the porous medium depend on the particles deposits. It is assumed that the suspension with constant concentrations of suspended particles is supplied at the filter inlet, and at the initial time the porous medium does not contain any particles

Governing equations

Exact and asymptotic solution on the concentration front

Conclusion