This article is cited in 1 paper

On a numerical algorithm for solving the Bakley–Leverett equations

Yu. M. Laevskii^ab, S. A. Litvinenko<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics SD RAS, 6 Lavrent'ev av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We describe a numerical algorithm for solving the problem of the two-phase filtration of an incompressible fluid in the absence of capillary forces (the Buckley–Leverett model). The usage of the conventional computational scheme for multiple injection wells leads to the “nongluing” of the flows of the displacing phase. We propose a way to remove this defect.

Keywords: two-phase fluid, filtration, well, difference scheme.

UDC: 519.632

Received: 25.05.2013

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