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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2018 Volume 30, Number 9, Pages 3–20 (Mi mm3998)

This article is cited in 5 papers

Direct numerical simulation of moderately rarefied gas flow within core samples

V. A. Balashov

Keldysh Institute of Applied Mathematics RAS

Abstract: The paper is devoted to numerical simulation of isothermal moderately rarefied gas flows within three-dimensional spaces with complex voxel geometry corresponding to core (rock) samples pore space. Classical Maxwell slip boundary conditions are used to take into account slippage effect on the solid boundaries. Simulation results for several core samples under different averaged pressure are presented. The qualitatively right Klinkenberg slippage coefficient dependence on absolute permeability coefficient was obtained.

Keywords: quasi-hydrodynamic equations, digital rock physics, slippage effect, slip boundary condition, Klinkenberg slippage coefficient, moderately rarefied gas, voxel geometry.

Received: 07.12.2017
Revised: 01.03.2018


 English version:
Mathematical Models and Computer Simulations, 2019, 11:3, 329–340


© Steklov Math. Inst. of RAS, 2024