1887

Abstract

Summary

The induced polarization phenomenon, both in time-domain (TD) and frequency-domain (FD), is often parameterized using the empirical Cole-Cole model. We here suggest three re-parametrizations of the Cole-Cole model, namely the maximum phase angle (MPA) model, the maximum imaginary conductivity (MIC) model and the minimum imaginary resistivity (MIR) model. We test these new parameterizations against the classic Cole-Cole model using a Markov Chain Monte Carlo (MCMC) inversion algorithm. The MCMC method allows us to study the probability distributions of each model parameter and gives us direct information on the parameter uncertainty. We show that models that are poorly resolved from inversion with the Cole-Cole model, e.g. due to low C values or strongly correlated parameters, can be resolved well with the new parameterizations and that the parameterizations work equally well for TDIP and FDIP data.

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/content/papers/10.3997/2214-4609.201702026
2017-09-03
2024-03-28
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References

  1. Cole, K.S. & Cole, R H.
    1941. Dispersion and absorption in dielectrics. Journal of Chemical Physics, 9, 341–351.
    [Google Scholar]
  2. Fiandaca, G, J.Ramm, A.Binley, A.Gazoty, A. V.Christiansen, and E.Auken
    , 2013, Resolving spectral information from time domain induced polarization data through 2-D inversion:Geophysical Journal International, v. 192, p. 631–646.
    [Google Scholar]
  3. Gazoty, A., Fiandaca, G, Pedersen, J., Auken, E. & Christiansen, A. V.
    2012a. Mapping of landfills using time-domain spectral induced polarization data: The Eskelund case study. Near Surface Geophysics, 10, 575–586.
    [Google Scholar]
  4. Johansson, S., Fiandaca, G & Dahlin, T.
    2015. Influence of non-aqueous phase liquid configuration on induced polarization parameters: Conceptual models applied to a time-domain field case study. Journal of Applied Geophysics, 123, 295–309.
    [Google Scholar]
  5. Johansson, S., Sparrenbom, C, Fiandaca, G, Lindskog, A., Olsson, P.-I., Dahlin, T. & Rosqvist, H.
    2016. Investigations of a Cretaceous limestone with spectral induced polarization and scanning electron microscopy. Geophysical Journal International, ggw432.
    [Google Scholar]
  6. Kemna, A., Binley, A. & Slater, L.
    2004. Crosshole IP imaging for engineering and environmental applications. Geophysics, 69, 97–107.
    [Google Scholar]
  7. Leroux, V., Dahlin, T. & Svensson, M.
    2007. Dense resistivity and induced polarization profiling for a landfill restoration project at Härlöv, Southern Sweden. Waste Management & Research, 25, 49–60.
    [Google Scholar]
  8. Loke, M. H., Chambers, J. E. & Ogilvy, R. D.
    2006. Inversion of 2D spectral induced polarization imaging data. Geophysical Prospecting, 54, 287–301.
    [Google Scholar]
  9. Madsen, L. M., Kirkegaard, C, Fiandaca, G., Christiansen, A.V. & Auken, E.
    An analysis og Cole-Cole parameters for IP data using Markov chain Monte Carlo. IP2016/4th International Workshop on Induced Polarization6–8. June 20162016Aarhus, Denmark.
    [Google Scholar]
  10. Pelton, W. H., Ward, S. H., Hallof, P. G, Sill, W.R. & Nelson, P. H.
    1978. Mineral discrimination and removal of inductive coupling with multifrequency IP. Geophysics, 43, 588–609.
    [Google Scholar]
  11. Slater, L. D. & Lesmes, D.
    2002. IP interpretation in environmental investigations. Geophysics, 67, 77–88.
    [Google Scholar]
  12. Tarasov, A. & Titov, K.
    2013. On the use of the Cole-Cole equations in spectral induced polarization. Geophysical Journal International, 195, 352–356.
    [Google Scholar]
  13. Vanhala, H.
    1997. Mapping oil-contaminated sand and till with the spectral induced polarization (IP) method. Geophysical Prospecting, 45, 303–326.
    [Google Scholar]
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