Geodesic
Verification of a numerical method for modeling two-phase flows of immiscible liquids with the transfer of modifying additives in three-dimensional digital core models
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 817-828.

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This paper presents the results of development and testing of the calculation method and software for modeling two-phase immiscible flows in three-dimensional digital core models taking into account the transfer of modifying additives (surfactant/polymer solutions and nanosuspensions) during flooding. The mathematical model is based on the Navier–Stokes equations and the VOF cell fluid method. The developed numerical method was tested on the problem of two-phase filtration during oil displacement in a three-dimensional model of a porous medium. Cross-verification with the Ansys Fluent CFD software package was performed. As a result of testing and cross-verification, it was shown that the numerical solutions obtained using the developed numerical method and software are in good qualitative and quantitative agreement with the numerical solutions obtained using Ansys Fluent. At the same time, a more than threefold gain in calculation speed was demonstrated compared to the Ansys Fluent software package.
Keywords: digital core models, VOF method, testing.
Mots-clés : immiscible displacement 
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Andrey A. Gavrilov; Dmitriy V. Guzei; Aleksandr A. Dekterev; Andrey V. Minakov. Verification of a numerical method for modeling two-phase flows of immiscible liquids with the transfer of modifying additives in three-dimensional digital core models. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 6, pp. 817-828. http://geodesic.mathdoc.fr/item/JSFU_2024_17_6_a14/

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