A simple model is developed to measure principal permeabilities of anisotropic media. The developed model presents an accurate procedure to measure principal permeabilities of both two and three-dimensional anisotropic media. A special core cutting procedure is developed to measure principal permeabilities of an anisotropic medium under isotropic conditions. This procedure enables flow rate measurements at upper and lower sections of an anisotropic sample end face. A logarithmic plot of upper flow rate to lower flow rate ratio versus the sample's end-face angle, results in the precise measurement of the end-face angle which once the sample is shaped to that angle flow velocity vector is uniform and parallel to the sample's long axis over the entire core length. Once this is accomplished, similar procedure is applied to the left and right halves of the core sample's end- face. This procedure assures the elimination of end effect flow pattern, which is created due to the anisotropicity of the system. Measurement of flow rate in an arbitrary Cartesian axis system results in determination of nine elements of a second rank permeability tensor. Through the eigen-value theory, principal permeabilities (Kmax, Kmin, and Kint) of an anisotropic medium are then calculated.

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