Release:
2026. Vol. 12. № 1 (45)About the authors:
Dmitrii I. Prokhorov, Cand. Sc (Phys.-Math.), senior researcher, laboratory of the numerical modeling of natural and anthropogenic processes in multiscale environments, IM SB RAS, Novosibirsk, Russia; prokhorovdi@ipgg.sbras.ru, https://orcid.org/0000-0002-8547-930X, https://www.webofscience.com/wos/author/record/AAL-7472-2021, https://www.scopus.com/authid/detail.uri?authorId=57219226354, https://elibrary.ru/author_profile.asp?authorid=1180104Abstract:
The paper presents several approaches to numerical estimation of capillary pressure in three-dimensional porous media. The approaches differ in both filtration modes: dynamic drainage, quasi-static drainage, porous plate method, and capillary pressure calculation methods: differential pressure calculation or capillary pressure calculation at the interface. All the presented methods are based on the two-phase flow model described by the Stokes and the Cahn-Hilliard equations. To verify the methods, a comparison is carried out with analytical expressions for capillary pressure, as well as with laboratory and numerical experiments. The presented methods are used to calculate the capillary pressure in sandstones. A significant discrepancy in the estimates obtained using different methods is shown.Keywords:
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