Relationship between Cole–Cole model parameters and spectral decomposition parameters derived from SIP data

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*Title:*	Main Title: Relationship between Cole–Cole model parameters and spectral decomposition parameters derived from SIP data
*Description:*	Abstract: Spectral induced polarization (SIP) data are commonly analysed using phenomenological models. Among these models the Cole–Cole (CC) model is the most popular choice to describe the strength and frequency dependence of distinct polarization peaks in the data. More flexibility regarding the shape of the spectrum is provided by decomposition schemes. Here the spectral response is decomposed into individual responses of a chosen elementary relaxation model, mathematically acting as kernel in the involved integral, based on a broad range of relaxation times. A frequently used kernel function is the Debye model, but also the CC model with some other a priorly specified frequency dispersion (e.g. Warburg model) has been proposed as kernel in the decomposition. The different decomposition approaches in use, also including conductivity and resistivity formulations, pose the question to which degree the integral spectral parameters typically derived from the obtained relaxation time distribution are biased by the approach itself. Based on synthetic SIP data sampled from an ideal CC response, we here investigate how the two most important integral output parameters deviate from the corresponding CC input parameters. We find that the total chargeability may be underestimated by up to 80 per cent and the mean relaxation time may be off by up to three orders of magnitude relative to the original values, depending on the frequency dispersion of the analysed spectrum and the proximity of its peak to the frequency range limits considered in the decomposition. We conclude that a quantitative comparison of SIP parameters across different studies, or the adoption of parameter relationships from other studies, for example when transferring laboratory results to the field, is only possible on the basis of a consistent spectral analysis procedure. This is particularly important when comparing effective CC parameters with spectral parameters derived from decomposition results.
*Identifier:*	10.1093/gji/ggw099 (DOI)

Responsible Party

*Creators:*	Maximilian Weigand (Author), Andreas Kemna (Author)
*Publisher:*	Oxford University Press on behalf of The Royal Astronomical Society
*Publication Year:*	2016

Topic

*TR32 Topic:*	Other
*Related Subproject:*	B6
*Subjects:*	Keywords: Geophysics, SIP, Inversion

File Details

*Filename:*	Weigand_Kemna_2016b.pdf
*Data Type:*	Text - Article
*File Size:*	642 KB
*Dates:*	Issued: 14.03.2016 Accepted: 08.03.2016
*Mime Type:*	application/pdf
*Data Format:*	PDF
*Language:*	English
*Status:*	Completed

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*Download Permission:*	Only Project Members
*General Access and Use Conditions:*	According to the TR32DB data policy agreement.
*Access Limitations:*	According to the TR32DB data policy agreement.
*Licence:*	[TR32DB] Data policy agreement

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*Publication Status:*	Published
*Review Status:*	Peer reviewed
*Publication Type:*	Article
*Source:*	Geophysical Journal International
*Source Website:*	http://gji.oxfordjournals.org/
*Number of Pages:*	6 (1414 - 1419)

Metadata Details

*Metadata Creator:*	Shari van Treeck
*Metadata Created:*	18.04.2016
*Metadata Last Updated:*	18.04.2016
*Subproject:*	B6
*Funding Phase:*	3
*Metadata Language:*	English
*Metadata Version:*	V50

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