Analysis of models of oil-by-water displacement through the microstructure


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Abstract

Two major arrangements describing the oil-by-water displacement process, i.e., Muskat’s model without taking into account the surface tension on the free boundary and the Buckley–Leverett model based on the surface tension, are considered. These arrangements were subject to theoretical and numerical study, which made it possible to uncover their self-contradictoriness. The focus was on construction of a numerical solution at the microlevel using the direct method with pressure correction.

About the authors

A. M. Meirmanov

Belgorod National Research University

Email: Cheverdava@ipgg.sbras.ru
Russian Federation, Belgorod

G. V. Reshetova

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch

Email: Cheverdava@ipgg.sbras.ru
Russian Federation, pr. Akad. Lavrentieva 6, Novosibirsk, 630090

V. A. Tcheverda

Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch

Author for correspondence.
Email: Cheverdava@ipgg.sbras.ru
Russian Federation, pr. Akad. Koptyuga 3, Novosibirsk, 630090

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