Main filtration properties of porous medium formed by communicating axissymmetrical channels

About the authors:

Dmitry E. Igoshin, Cand. Sci. (Phys.-Math.), Head of the Reservoir Physics Laboratory, Corporate Center for the Study of Reservoir Systems (Core and Fluids), Gazprom VNIIGAZ (Moscow); Associate Professor, Department of Fundamental Mathematics, Institute of Physics and Technology, University of Tyumen; d.e.igoshin@utmn.ru

Nadezhda A. Khromova, Research Engineer, Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; khromova.n.a@gmail.com

Abstract:

The prevalence of a highly porous permeable cellular materials (HPPCM) in a variety of industries makes it relevant to study their properties. Filtration properties of such media can be determined by hydrodynamic simulation. The model of a porous medium formed by communicating axissymmetrical channels of variable section is considered in the paper. The model allows setting the porosity throughout the value range. The permeability of the considered medium is determined analytically and numerically. Analytical estimation is obtained based on the assumption concerning quasi one-dimensional flow. Computer simulations are carried out by using a set of open source programs, such as SALOME-OpenFOAM-Paraview. Based on the direct hydrodynamic flow simulation in the volume of one channel the volumetric flow rate of fluid through the cross section is found, and numerical estimate of permeability is obtained taking into account the Darcy’s equation. The good quantitative agreement between the numerical and analytical estimates of permeability is obtained.

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