Solutions of seepage equations in curvilinear coordinates

K. A. Sidelnikov1 , A. M. Gubanov2 , V. E. Lyalin3 , M. A. Sharonov4

1JSC Izhevsk Petroleum Research Center, Izhevsk, Russia

2Institute of Oil and Gas, Udmurt State University, Izhevsk, Russia

3, 4Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

3Corresponding author

Vibroengineering PROCEDIA, Vol. 8, 2016, p. 466-469.
Received 18 August 2016; accepted 25 August 2016; published 7 October 2016

Copyright © 2016 JVE International Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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The article provides a method for solving equations of filtration in curvilinear coordinate systems through the application of the algorithm for constructing orthogonal difference grids on curved surfaces, allowing cost-effective solution of the quasi-three-dimensional non-stationary filtration problem with the possibility of application of these solvers to optimization problems.

Keywords: two-phase filtration, curvilinear coordinates, orthogonal grid, oil reservoir.


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