Asymptotics for filtration of polydisperse suspension with small impurities

doi:10.1007/s10483-021-2690-6

Abstract

Abstract: A model for deep bed filtration of a polydisperse suspension with small impurities in a porous medium is considered. Different suspended particles move with the same velocity as the carrier water and get blocked in the pore throats due to the size-exclusion mechanism of particle retention. A solution of the model in the form of a traveling wave is obtained. The global exact solution for a multiparticle filtration with one high concentration and several low concentrations of suspended particles is obtained in an explicit form. The analytic solutions for a bidisperse suspension with large and small particles are constructed. The profiles of the retained small particles change monotony with time. The global asymptotics for the filtration of a polydisperse suspension with small kinetic rates is constructed in the whole filtration zone.

Key words: deep bed filtration, suspension, colloid, porous medium, particle size distribution, analytical model

2010 MSC Number:

74N15
82D80

L. I. KUZMINA, Y. V. OSIPOV, T. N. GORBUNOVA. Asymptotics for filtration of polydisperse suspension with small impurities. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 109-126.

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