Model of suspension displacement in a porous medium

被引：0

作者：

Kuzmina, Liudmila ^{[1
]}

Osipov, Yuri ^{[2
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Moscow 101000, Russia

[2] Moscow State Univ Civil Engn, Yaroslavskoe Shosse 26, Moscow 129337, Russia

来源：

VI INTERNATIONAL SCIENTIFIC CONFERENCE INTEGRATION, PARTNERSHIP AND INNOVATION IN CONSTRUCTION SCIENCE AND EDUCATION (IPICSE-2018) | 2018年 / 251卷

关键词：

DEEP BED FILTRATION; FLOW; TRANSPORT;

D O I：

10.1051/matecconf/201825104016

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

The displacement of monodisperse suspension by clean water in a porous medium, accompanied by the formation of deposit is considered. A flow of water is supplied at the inlet of the porous medium filled with suspension. The suspension is displaced by water moving at a constant velocity. A mathematical model of deep bed filtration of suspension in a porous medium based on size-exclusion mechanism of particle retention and pore clogging is formulated. It is proved that in the suspension area the solution depends only on time, and in the clean water area only on the distance to the porous medium inlet. For constant initial conditions an exact solution of the problem is constructed. In the case of linear filtration coefficient, the analytic solution is given in explicit form. The properties of the obtained solutions are analyzed.

引用

页数：7

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