An improved perturbation theory method for describing the effective permeability of a randomly heterogeneous mediumстатья
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Дата последнего поиска статьи во внешних источниках: 11 января 2018 г.
Аннотация:Assuming a log-normal statistics of the permeability field of a randomly heterogeneous medium, a equation is obtained for the integral kernel, defining the non-local relation between the values of the gradient of the thermodynamic potential and the flow, averaged over the ensemble of realizations of the permeability. The solution of this equation in the large-scale limit reproduces the well-known Landau-Lifshitz-Matheron formula, and in the general case enables a relation to be obtained between the two-point permeability covariance function of the fluctuations in the permeability and the form of the integral kernel.