Modelling uniform asymptotics of the filtration problem in a porous medium

P. 1-6.

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

The solution of the filtration problem allows calculating the injection of the grout
into a loose ground to create a solid foundation. The basic deep bed filtration model of a
monodisperse suspension in a porous medium is considered. Based on the synthesis of the
standard asymptotic solution for a short time and the asymptotics of the filtration problem for a
long time, a uniform asymptotic solution is constructed. A numerical calculation shows that the
asymptotics is close to the solution for any time.

Keywords: Deep bed filtration, porous media, mathematical model, asymptotic solution

In book

VII International Symposium Actual Problems of Computational Simulation in Civil Engineering

Edited by: V. I. Travush, V. M. Fomin. Vol. 456. IOP Publishing, 2018.