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Resistivity logging in a multiscale isotropic porous medium with log-normal distributed conductivity

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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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Authors and Affiliations

  1. The Institute of Thermophysics, the Institute of Computational Mathematics and Mathematical Geophysics, the Institute of Petroleum Geology and Geophysics, SB RAS, Novosibirsk, Russia

    E. P. Kurochkina, O. N. Soboleva & M. I. Epov

Authors
  1. E. P. Kurochkina
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  2. O. N. Soboleva
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  3. M. I. Epov
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The text was submitted by the authors in English.

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Kurochkina, E.P., Soboleva, O.N. & Epov, M.I. Resistivity logging in a multiscale isotropic porous medium with log-normal distributed conductivity. Phys. Part. Nuclei Lett. 5, 223–226 (2008). https://doi.org/10.1134/S1547477108030187

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  • DOI: https://doi.org/10.1134/S1547477108030187

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