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Anisotropy is generally formed as a result of systematic orientation and shape of asymmetric grains making up the solid matrix of porous media. It is well known that porous media are often anisotropic. To calculate flow in such three dimensional media a permeability tensor must be used in Darcy's law. These anisotropic reservoirs cannot be properly studied with conventional simulators, which assume that the coordinate system used to describe the fluid flow aligns with the principal permeability axes.
Thus, the coordinate axes are oriented in the same direction as these principal axes. Permeability actually varies in all directions and with increased use of directional wells, the ability to use correct permeability in the direction of fluid flow is important in predicting reservoir production characteristics.
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This will also help explain why and where oil accumulations occur. Many investigators have attempted to either develop a mathematical model to calculate anisotropic permeability of a system or to experimentally develop a procedure to measure directional permeabilities. This research involves creating this three-dimensional permeability tensor mathematically.
Then, using the commercial reservoir simulator, the three-dimensional permeability tensor is included in the reservoir model.