MATHEMATICAL SIMULATION OF THE PROCESS
OF DISPERSION OF CLAYS IN FILTRATION OF
SOLUTIONS THROUGH SLIGHTLY PERMEABLE
CLAY ROCKS
M. G. Khramchenkov

UDC 532.546

Based on concepts of the process of dispersion of 
clays, the author developed a model of the change in the filtrational 
properties of slightly permeable clay rocks in filtration through 
them of solutions with a composition different from the initial composition. 
Of primary importance here are two processes, i.e., the porosity increase 
due to dispersion of a part of the porous collector and the increase 
in the viscosity of the resulting suspension. It is clear that these 
two processes oppositely affect the filtration factor. In the present 
work, the dynamics of the influence of these processes on the filtration 
factor is tracked and the exact analytical solution for the nonstationary 
problem in a one-dimensional case is obtained.

N. G. Chebotarev Scientific-Research Institute of Mathematics 
and Mechanics of the Kazan State University, Kazan, Russia; email: 
Maxim.Khramchenkov@ksu.ru. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 74, No. 3, pp. 41-43, May-June, 2001. 
Original article submitted February 7, 2000; 
revision submitted October 23, 2000.

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