Özet:

In the present research, it is proposed to use the methods of mathematical modeling of filtering flow taking into account a special type of boundary conditions, characteristic for underground storages, peculiarities of geometry and variable characteristics of permeability of the medium, viscosity and density of fluid. The specified models found numerical implementation using the over-relaxation method for the Dirichlet problem with a special type of boundary conditions.As a result of the performed calculations, it was found that regardless of the model of filtering flow and the number of zones of fluid penetration through the boundary zone, the impact of existence of these zones is tangible only in the vicinity of these zones, i. e. existence of outflows on the height of the well’s area almost does not affect parameters of the stream at the bottom of this area, the difference in the calculation results is less than 0.5 %. This makes it possible to conclude that detection of the outflow coordinate, as well as of the fact of its existence, is impossible within the Darcy and Forchheimer models Author Biographies Andrij Olijnyk, Ivano-Frankivsk National Technical University of Oil and Gas Karpatska str.,15, Ivano-Frankivsk, Ukraine, 76019 Doctor of Technical Sciences, Professor Department of mathematical methods in engineering  

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