Modelling uniform asymptotics of the filtration problem in a porous medium

7th International Symposium Actual Problems of Computational Simulation in Civil Engineering

土木建筑工程;计算机科学

Kuzmina, L.I.^1 ; Osipov, Y.V.^2 ; Zheglova, Y.G.^2

National Research University, Higher School of Economics, Myasnitskaya st. 20, Moscow

101000, Russia^1

Moscow State University of Civil Engineering, National Research University, Yaroslavskoe shosse 26, Moscow

129337, Russia^2

关键词: Asymptotic solutions;    Deep bed filtration model;    Filtration problems;    Mono-disperse;    Numerical calculation;    Porous medium;    Uniform asymptotic solutions;    Uniform asymptotics;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/456/1/012051/pdf
DOI  :  10.1088/1757-899X/456/1/012051

来源: IOP

【 摘 要 】

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.