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

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On the equivalence of the conductivity and resistivity equations in the interpretation of induced polarization data. / Kozhevnikov, Nikolai O.; Antonov, Evgeny Y.

In: Geophysical Prospecting, Vol. 69, No. 4, 05.2021, p. 872-877.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{d19e57bf4ed9440fa63f9a7aed1e69e1,

title = "On the equivalence of the conductivity and resistivity equations in the interpretation of induced polarization data",

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.",

keywords = "Interpretation, Modelling",

author = "Kozhevnikov, {Nikolai O.} and Antonov, {Evgeny Y.}",

year = "2021",

month = may,

doi = "10.1111/1365-2478.13066",

language = "English",

volume = "69",

pages = "872--877",

journal = "Geophysical Prospecting",

issn = "0016-8025",

publisher = "Wiley-Blackwell",

number = "4",

}

RIS

TY - JOUR

T1 - On the equivalence of the conductivity and resistivity equations in the interpretation of induced polarization data

AU - Kozhevnikov, Nikolai O.

AU - Antonov, Evgeny Y.

PY - 2021/5

Y1 - 2021/5

N2 - 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.

AB - 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.

KW - Interpretation

KW - Modelling

UR - http://www.scopus.com/inward/record.url?scp=85100204903&partnerID=8YFLogxK

U2 - 10.1111/1365-2478.13066

DO - 10.1111/1365-2478.13066

M3 - Article

AN - SCOPUS:85100204903

VL - 69

SP - 872

EP - 877

JO - Geophysical Prospecting

JF - Geophysical Prospecting

SN - 0016-8025

IS - 4

ER -

ID: 27693102