Abstract
The effective coefficients of a conductivity field for estimating an average value of the current density and its variance for the problem of resistivity logging in a multiscale isotropic porous medium are considered. A conductivity field has pulsations from an extremely wide range of scales and log-normal statistics. For the modeling of the conductivity, we use Kolmogorov’s multiplicative cascades. The problem is solved by the method of subgrid modeling. The results are verified by the 3D numerical modeling.
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