Modeling of Viscoplastic Fluid Filtration in the LOGOS Software Package

Title	Modeling of Viscoplastic Fluid Filtration in the LOGOS Software Package
Authors	E. A. Meshkova¹, A. O. Syromyasov¹ ¹National Research Mordovia State University
Annotation	This paper presents the results of a numerical study of viscoplastic fluid filtration through regular porous media, using a hexagonally close‑packed structure as an example, performed in the LOGOS software package. Since the hydrodynamic module of LOGOS does not have a built‑in Bingham rheological model, the calculations were carried out using an adapted “Logos Strength” module based on an elastoplastic model with viscosity taken into account. A two‑stage solver verification was performed for flows in cylindrical pipes of circular and rectangular cross‑sections. The patterns of stagnant zone formation and threshold flow behavior were established, and the influence of fluid rheological parameters on effective permeability was evaluated.
Keywords	numerical modeling, filtration, viscoplastic fluid, Shvedov-–Bingham model, LOGOS, yield stress, porous medium.
Citation	Meshkova E. A., Syromyasov A. O. ''Modeling of Viscoplastic Fluid Filtration in the LOGOS Software Package'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 141-145. Available at: https://conf.svmo.ru/files/2026/papers/paper91.pdf. - Date of access: 25.09.2026.

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Modeling of Viscoplastic Fluid Filtration in the LOGOS Software Package

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