Abstract
An approximate expression is developed for the relationship between the hydraulic gradient ( J), the specific discharge ( q) and fluid and porous matrix properties in the case of saturated, steady and uniform (macroscopic) flow of a Newtonian liquid at high Reynolds numbers through a homogeneous anisotropic porous medium: g J=(v w (2)+ B (4): qq/q+ C (3)· q)· q In this expression, the tensors w (2) , B (4) and C (3) denote properties of the solid matrix only. The tensors W (2) , and C (3) are symmetrical; the tensor B (4) is symmetrical only in the first and last pairs of indices. It seems that no mathematical expression with a finite number of parameters exists, which can serve as a universal exact expression for the sought relationship between J and q.
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