Research article Vol. 17 No. 2 (2021): International Journal for Computational Civil and Structural Engineering

ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS

Ludmila Kuzmina, Yuri Osipov
43-49 DOI 10.22337/2587-9618-2021-17-2-43-49 Published 2021-06-24
PDF
How to Cite

ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS

Authors

  • Ludmila Kuzmina National Research University Higher School of Economics, Moscow, RUSSIA
  • Yuri Osipov National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2021-17-2-43-49

Keywords:

deep bed filtration, suspensions and colloids, porous medium, suspended and retained particles, asymptotic solution

Abstract

During the construction of hydraulic and underground structures, a grout solution is pumped into the ground to create waterproof partitions. The liquid grout is filtered in the porous rock and clogs the pores when hardened. The mathematical model of deep bed filtration describes the transfer of suspension particles and colloids by a fluid flow through the pores of a rock. For a one-dimensional filtration problem in a homogeneous porous medium with almost constant coefficients, an asymptotic solution is constructed. The asymptotics is compared with the numerical solution.

1431 294

Downloads

Published

2021-06-24

Issue

Vol. 17 No. 2 (2021): International Journal for Computational Civil and Structural Engineering

Section

Research article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Kuzmina, L., & Osipov, Y. (2021). ASYMPTOTICS OF THE FILTRATION PROBLEM WITH ALMOST CONSTANT COEFFICIENTS. International Journal for Computational Civil and Structural Engineering, 17(2), 43-49. https://doi.org/10.22337/2587-9618-2021-17-2-43-49

Keywords

deep bed filtration, suspensions and colloids, porous medium, suspended and retained particles, asymptotic solution

Most read articles by the same author(s)