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Regular version of the site

Article

Asymptotics for filtration of polydisperse suspension with small impurities

Applied Mathematics and Mechanics (English Edition). 2021. Vol. 42. No. 1. P. 109-126.
Kuzmina, L.I., Osipov, Y. V., Gorbunova, T.

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.