Numerous experimental studies have established not only the possibility of using the Darcy law but also limits of its applicability. In the proces of these investigations, the Darcy law was shown to be valid for both isotropic and anisotropic media, but it is fulfilled merely within a certain range of flow velocities. Thus, the upper and lower boundaries for the applicability of the Darcy law can be indicated. The upper boundary is caused by the manifestation of inertial forces at high velocities, while the lower one, by physicochemical effects for interaction of a fluid with a solid skeleton and by non-Newtonian rheological properties of the fluid. In this study, we consider the generalizations of the Darcy law with isotropic filtration properties at high filtration rates.


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