Tenseurs de perméabilité équivalente d'un domaine hétérogène fini

In an earlier paper, it has been shown that for a heterogeneous block of finite size, under linear boundary pressure conditions, a symmetric and positive definite tensor, denoted here by Kp, exists, which relates the mean flux to the mean gradient of pressure in the block. In this paper, the conditions of constant boundary flux are first defined. Then it is shown that, under these conditions also, a symmetric and positive definite tensor, denoted Kq, exists, which relates the mean flux to the mean pressure gradient. It is then shown that Kq and Kp respectively give the equivalent permeability in the direction of mean gradient and of mean flux. The directional permeability values given by Kq are shown to be smaller than Kp. To cite this article: A. Pouya, C. R. Geoscience 337 (2005).