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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2020 Volume 495, Pages 13–16 (Mi danma127)

This article is cited in 5 papers

MATHEMATICS

Exact solutions of incompressible Navier–Stokes equations in the case of oil and gas industrial problems

V. B. Betelina, V. A. Galkinb, A. O. Dubovikb

a Scientific Research Institute for System Analysis of the Russian Academy of Sciences, Moscow, Russian Federation
b Surgut Branch of Federal State Institution "Scientific Research Institute for System Analysis of the Russian Academy of Sciences", Surgut, Russian Federation

Abstract: Classes of exact solutions corresponding to vortex and potential flows are presented within the framework of a hydrodynamic model describing flows of a viscous incompressible fluid. The study of exact solutions is a prerequisite for creating a core simulator, which is associated with modeling fluid dynamics in a porous medium and the response of the field to dynamic influences in order to increase oil recovery.

Keywords: hydrodynamics, exact solutions, variable domain, oil and gas industry.

UDC: 517.9+532

Received: 15.09.2020
Revised: 15.09.2020
Accepted: 21.09.2020

DOI: 10.31857/S2686954320060053


 English version:
Doklady Mathematics, 2020, 102:3, 456–459

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© Steklov Math. Inst. of RAS, 2024