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Regular version of the site

Article

GLOBAL ASYMPTOTICS OF THE FILTRATION PROBLEM IN A POROUS MEDIUM

Lyudmila I. Kuzmina, Osipov Y. V., Zheglova Y. G.

Filtration of the suspension in a porous medium is important when strengthening the soil and creating
watertight partitions for the construction of tunnels and underground structures. A model of deep bed filtration
with variable porosity and fractional flow, and a size-exclusion mechanism of particle retention are considered.
A global asymptotic solution is constructed in the entire domain in which the filtering process takes place. The
obtained asymptotics is close to the numerical solution.