ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Application of Closed Vortical Frame Method for Liquids Section Border Moving Speed Calculation in Complex Geological Structure Soil


D. Nikolsky

Russia, 302026, Orel, Bld. 95, Komsomolskaya St.,
The Orel State University,
Physics&Mathematics Faculty,


There is offered an modification of the closed vortical frame method for calculation of the speed of an interface of various viscosity and density liquids moving in the model "piston" replacement. The case of a non-uniform ground is considered. The numerical scheme is tested on the analytical decision of the private problem.
The mathematical model constructed in given work can be used for a wide range of the problems connected with evolution of an interface of liquids. Such problems arise by primary development of oil deposits, in problems of monitoring of an environment.
Work is executed at financial support of the Russian Foundation for Basic Research No 06-01-96303.

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