Direct Simulation of Moderately Rarefied Gas Flows within Core Samples

  • V. A. BalashovEmail author


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


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



The work was carried out under the financial support of the Russian Foundation for Basic Research (project no. 16-31-00400 mol_a). The author thanks Ph. D. E.B. Savenkov (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences) for their numerous discussions and the attention he paid to this work. This work was performed using the high-performance computational resources of the Federal Center of Shared Usage at the Russian Scientific Center Kurchatov Institute,


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Keldysh Institute of Applied Mathematics, Russian Academy of SciencesMoscowRussia

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