Spectral induced polarization of low and moderately polarizable buried objects

Abstract

We have derived a reasonably accurate expression for the apparent spectral induced polarization (SIP) response of an arbitrary number of polarizable objects. The expression set a logical ground to the recently popularized Debye decomposition technique and provided a physical basis to phenomenological induced polarization models, such as Cole-Cole and others. For data complying with the Cole-Cole type of relaxation, the most important SIP parameters are the frequency dependence and time constant because they carry information about the grain size distribution and the mean grain size in a polarizable object. We have determined a simple method to rapidly estimate these parameters from characteristic features of a measured phase curve, such as the location of its peak frequency and maximum value of its derivative on a log-log plot. We tested the approach on a synthetic 2D example and field data, representing a multifrequency vertical electrical sounding carried out over a known sedimentary section with three differently polarizable layers. In both cases, the proposed technique yielded reasonably good results.

Electrical properties of two‐component mixtures and their application to high‐frequency IP exploration of permafrost

“…At , the IP phase curve weakly depends on frequency and may be approximated by a Cole‐Cole relation (equation ()) with model parameters (red line on Figure ). It is known that two‐electrode measurements can be sensitive to electrode polarization effect described by the Warburg model (equation ()); however, the recovered Cole–Cole parameters suggest that this phenomenon does not significantly affect the presented results, since the value of is much smaller than that of the Warburg relaxation , while being rather typical for an IP response of wet sedimentary rocks with broad grain size distribution (Zorin ). At and −8°C, when most of the free water within the sample is frozen, the Cole–Cole response disappears, allowing to consider both and as constant functions of frequency.…”

“…with most observed values of dimensionless parameter lying in the range between 0.1 and 0.3 (Pelton et al . ; Seigel, Vanhala and Sheard ; Zorin ).…”

Computation of spectral parameters from time‐domain induced polarization data for mineral identification

“…A recent research on time-domain IP focuses on addressing environmental (Fiandaca et al, 2012;Gazoty et al, 2012aGazoty et al, , 2012b) and hydrogeophysical problems (Binley et al, 2005;Borner et al, 1996;Revil & Florsch, 2010;Titov et al, 2010), characterizing geological strata (Johansson et al, 2016(Johansson et al, , 2019Zorin, 2015), bioremediation (Luo & Zhang, 1998), permeability imaging (Revil & Florsch, 2010;Tong et al, 2006aTong et al, , 2006b, time-lapse changes (Fiandaca et al, 2015), archaeological studies (Florsch, Llubes, et al, 2012), quantification of slag heaps (Florsch et al, 2011;Florsch, Llubes, et al, 2012;Qi et al, 2018) and mapping metallic ores (Johnson, 1984;Mao et al, 2016;Oldenburg et al, 1997;Revil, Abdel Aal, et al, 2015;Vanhala & Peltoniemi, 1992). There are less efforts in utilizing time-domain IP data for mineral characterization (Gurin et al, 2013(Gurin et al, , 2017Seigel et al, 1997).…”