Permeability of the Fluid-Filled Inclusions in Porous Media |
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Authors: | M Markov E Kazatchenko A Mousatov E Pervago |
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Institution: | 1.Instituto Mexicano del Petróleo,México DF,Mexico |
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Abstract: | In this article, we propose an approach to obtain the equivalent permeability of the fluid-filled inclusions embedded into
a porous host in which a fluid flow obeys Darcy’s law. The approach consists in the comparison of the solutions for one-particle
problem describing the flow inside the inclusion, firstly, by the Stokes equations and then by using Darcy’s law. The results
obtained for spheres (3D) and circles (2D) demonstrate that the inclusion equivalent permeability is a function of its radius
and, additionally, depends on the host permeability. Based on this definition of inclusion permeability and using effective
medium method, we have calculated the effective permeability of the double-porosity medium composed of the permeable matrix
(with small scale pores) and large scale secondary spherical pores. |
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