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Research on the Influence of Capillary Forces on a Liquid Flow in Fractures with Nonuniform Apertures

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Abstract

A physicomathematical model of a two-phase liquid flow in a discrete fracture network—taking into account a nonuniform fracture aperture, flow exchange between fractures, capillary and gravitational forces—is presented. Capillary forces are described by the Young-Laplace model that takes into account the rock wetting angle and surface tension. The influence of the structure of the conducting channels in a fracture, capillary and gravitational forces, and the pressure gradient, as well as the water-and-oil viscosity ratio on the flow dynamics and the oil recovery factor, is explored. It is shown that capillary forces and the structure of channels in a fracture can play a decisive role in the process of oil displacement by water.

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Correspondence to A. V. Blonsky.

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Translated by L. Mukhortova

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Blonsky, A.V., Mitrushkin, D.A. Research on the Influence of Capillary Forces on a Liquid Flow in Fractures with Nonuniform Apertures. Math Models Comput Simul 11, 374–385 (2019). https://doi.org/10.1134/S2070048219030086

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  • DOI: https://doi.org/10.1134/S2070048219030086

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