Calculation of the particles transfer in a porous medium

Abstract

The transfer and deposition of solid particles in porous rocks are encountered in many fields of science and technology, including the design and construction of waterproof foundations and hydraulic structures. The paper considers polydisperse suspesion with suspended particles of various types moving in the porous medium at the same velocity. The asymptotics of the solution of the filtration problem with various linear filtration coefficients is constructed. A numerical calculation of the asymptotics is performed for the case of two different types of particles.