Abstract
The equations describing the radial encroachment of a viscous liquid into a homogeneous, anisotropic porous medium are formulated and solved by two approximate methods. An analytical approximation is in good agreement with a finite element numerical solution, provided the angular component of the pressure gradient in an elliptical coordinate system is small. In the specific case where one of the principal flow directions is perpendicular to the flow plane, treatment of experimental flow data in accord with the analytical approximation determines the principal in-plane permeabilities and the degree of in-plane anisotropy. In the general case, the analysis yields effective permeabilities that are functions of the principal permeabilities and the orientation of the principal coordinate system.
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