[1246] - Relationship between Cole–Cole model parameters and spectral decomposition parameters derived from SIP data

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Weigand, M., Kemna, A., 2016. Relationship between Cole–Cole model parameters and spectral decomposition parameters derived from SIP data. Geophysical Journal International, 1414 - 1419. DOI: 10.1093/gji/ggw099.
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Title(s):Main Title: Relationship between Cole–Cole model parameters and spectral decomposition parameters derived from SIP data
Description(s):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(s):DOI: 10.1093/gji/ggw099
Responsible Party
Creator(s):Author: Maximilian Weigand
Author: Andreas Kemna
Publisher:Oxford University Press on behalf of The Royal Astronomical Society
TR32 Topic:Other
Related Sub-project(s):B6
Subject(s):CRC/TR32 Keywords: Geophysics, SIP, Inversion
File Details
File Name:Weigand_Kemna_2016b.pdf
Data Type:Text
File Size:642 kB (0.627 MB)
Date(s):Issued: 2016-03-14
Date Accepted: 2016-03-08
Mime Type:application/pdf
Data Format:PDF
Download Permission:OnlyTR32
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
North:-no map data
Measurement Region:None
Measurement Location:--None--
Specific Informations - Publication
Source:Geophysical Journal International
Number Of Pages:6
Page Range:1414 - 1419
Metadata Details
Metadata Creator:Shari van Treeck
Metadata Created:2016-04-18
Metadata Last Updated:2016-04-18
Funding Phase:3
Metadata Language:English
Metadata Version:V41
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