The paper is concerned with direct numerical modeling techniques for determination of macroscopic permeability coefficient of samples of naturally occurring geological media using their micro-CT images. Basic mathematical model of flow is based on quasihydrodynamic (QHD) equations of viscous heat-conducting compressible gas flows. Determination of permeability coefficient of artificial and real porous media is discussed. Publicly available micro-CT images are used. Results of computations for artificial porous media are compared with the analytic ones, for real porous media — with the results obtained by Lattice Boltzmann method and results published elsewhere. It is showed that approach based on QHD equations is highly competitive with other approaches.

quasihydrodynamic equations, permeability, digital rock physics

Mathematical modelling in actual problems of science and technics