On the equivalence of the conductivity and resistivity equations in the interpretation of induced polarization data

Nikolai O. Kozhevnikov, Evgeny Y. Antonov

Research output: Contribution to journalArticlepeer-review

Abstract

There are several models accounting for the induced polarization phenomenon in terms of complex, frequency-dependent conductivity σ or resistivity ρ = 1/σ. The most popular ones are the Cole–Cole conductivity and Pelton resistivity models. Each model includes four parameters: resistivity ρ (or its inverse, conductivity σ), chargeability m, relaxation time τ and frequency dependence c. Some authors argue that these models predict different relaxation times and are equivalent provided that this difference is accounted for in interpreting induced polarization data. We show that the discussion about the equivalence of the Cole–Cole conductivity and Pelton resistivity equations might arose from not taking into consideration the difference between the relaxation time as a model parameter, and that observed experimentally. We also show that, when comparing models as such, there is no reason to talk about different relaxation times. The equivalence of conductivity and resistivity equations manifests itself in that both, with allowance made for the measurement circuit, predict the same experimental data.

Original languageEnglish
Pages (from-to)872-877
Number of pages6
JournalGeophysical Prospecting
Volume69
Issue number4
Early online date29 Dec 2020
DOIs
Publication statusPublished - May 2021

Keywords

  • Interpretation
  • Modelling

OECD FOS+WOS

  • 1.05.GC GEOCHEMISTRY & GEOPHYSICS

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