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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2001 Volume 13, Number 3, Pages 41–48 (Mi mm690)

This article is cited in 1 paper

International Conference on Environmental Mathematical Modeling and Numerical Analysis (Rostov-on-Don)

Motion of heavy liquid contaminations in layered groundwater reservoir

V. M. Konyukhova, A. V. Kosterinb, A. N. Chekalina

a Kazan State University
b Kazan State University, Faculty of Mechanics and Mathematics

Abstract: The mathematical modeling and the computer simulation of the filtration process of heavy liquid contamination in the sloping inhomogeneous freshwater underground reservoir are carried out when a mass transfer between its stratums is taken into account. The mathematical description of such process is done within a scheme of twophase filtration for nonintermixing liquids. The basic properties of solution of differential equations were analyzed on the boundaries where an absolute permeability has a jump. The numerical modelsand highly effective algorithms are developed in which this a priori information about the solution was used. Some examples of numerical calculations are presented.

UDC: 532.546



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