Calculation of filtration of polydisperse suspension in a porous medium

Abstract

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.

Modeling of filtration of 2-types particles suspension in a porous medium

“…For some filtration models, the exact solutions are obtained or the asymptotic formulas are constructed [11][12][13][14][15][16][17]. In the general case, the analytical solution is absence and numerical calculations are carried out [18,19].…”

Calculation of the filtration of polydisperse suspension with a small rate

“…In the absence of an exact solution, asymptotics are constructed [9][10][11][12], or the problem is solved numerically [13][14][15]. In the paper an asymptotic solution of the filtration problem of a polydisperse suspension in a porous medium is constructed assuming that the filtration coefficient is small.…”

Calculation of the filtration in a heterogeneous porous medium

“…In a number of filtration models an exact solution is obtained [7][8][9], in others an asymptotic is constructed [10][11][12][13][14]. If analytical solution is absent, numerical methods are used [15][16][17].…”