MATEC Web Conf.
Volume 251, 2018VI International Scientific Conference “Integration, Partnership and Innovation in Construction Science and Education” (IPICSE-2018)
|Number of page(s)||7|
|Section||Modelling and Mechanics of Building Structures|
|Published online||14 December 2018|
Model of suspension displacement in a porous medium
National Research University Higher School of Economics, 101000 Moscow, Russia
2 Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia
* Corresponding author: email@example.com
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.
© The Authors, published by EDP Sciences, 2018
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