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New model of polarization of rocks: Theory and application

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Abstract

Mathematical modeling of a little known model of induced polarization (IP) referred to as “induced polarization caused by constrictivity of pores” was developed. Polarization occurs in all types of rocks if surface areas and transfer numbers are different for connected pores. During the polarization process, all contacts between pores of different transfer numbers will be blocked and the electrical current will flow through the remaining channels. Diffusion equations with different specified boundary conditions for time-on and time-off have been used to develop the base of this model. The new algorithm was tested on laboratory measurements. Several samples were selected: shale, mudstone, tillite, hematite, lava, and manganese ore. Each theoretical model includes pores of more than 40 different sizes sporadically distributed in the sample. The obtained data show good agreement with theory and provide new information about pore size distribution in samples, prevalent pore radius, and effect of anisotropy.

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Authors and Affiliations

  1. Council for Geoscience, Pretoria, South Africa

    Valeriya Yu. Zadorozhnaya & Leonie P. Maré

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  1. Valeriya Yu. Zadorozhnaya
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  2. Leonie P. Maré
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Correspondence to Valeriya Yu. Zadorozhnaya.

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Zadorozhnaya, V.Y., Maré, L.P. New model of polarization of rocks: Theory and application. Acta Geophys. 59, 262–295 (2011). https://doi.org/10.2478/s11600-010-0041-6

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  • DOI: https://doi.org/10.2478/s11600-010-0041-6

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