Two-dimensional Inversion of wideband spectral data from the Capacitively Coupled Resistivity method – First Applications in periglacial environments

Mudler, Jan; Hördt, Andreas; Przyklenk, Anita; Fiandaca, Gianluca; Maurya, Pradip Kumar; Hauck, Christian

doi:10.5194/tc-2018-288

Cited by 2 publications

(7 citation statements)

References 30 publications

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“…A mathematical description of those effects can be achieved by a parametrization of the frequency-dependent permittivity. As discussed by Mudler et al (2019), a useful parameterization for 2-D inversion is the model suggested by Cole and Cole (1941) extended by a third term including the DC conduction for a comprehensive description of the electrical behaviour. This extended Cole-Cole model (in the following just named Cole-Cole model), which has been used previously for cryospheric investigations (e.g.…”

Section: Electrical Permittivity Of Frozen Soilmentioning

confidence: 99%

“…The measured impedance spectra can be analysed either separately or in a two-dimensional inversion algorithm. Both procedures are described by Mudler et al (2019) and use the Cole-Cole model (Eq. 1) to fit the spectral data.…”

Section: Ice Content Estimationmentioning

confidence: 99%

“…The first approach can be used to evaluate single spectra to give an overview of the subsurface information or in case of homogeneous grounds or samples, as in laboratory studies. To obtain the spatial distribution of electrical parameters, a 2-D inversion algorithm embedded in the geophysical modelling and inversion toolbox AarhusInv (Auken et al, 2014) was developed and presented by Mudler et al (2019). The inversion leads to the distribution of the five Cole-Cole parameters defined above in Eq.…”

Section: Ice Content Estimationmentioning

confidence: 99%

“…In the case of heterogeneous field data, the distribution of electrical parameters within the subsurface has to be determined first. Since the inversion after Mudler et al (2019) is currently the only existing method for two-dimensional interpretation of HFIP data, it is necessary to perform this process as the first step of data analysis. In our application, we use the inverted 2-D spectra as input for the fitting process for the ice content model after Zorin and Ageev (2017) and thus obtain the two-dimensional distribution of ice content.…”

Section: And the Parameters Of The Ice Relaxation Are εmentioning

confidence: 99%

“…They discussed different parameterizations of frequency-dependent permittivity and the possibilities to resolve the parameters based on a homogeneous half-space assumption. Mudler et al (2019) discussed several case histories in different regions and suggested an approach for a two-dimensional inversion. Limbrock and Weigand (2020) obtained broadband data from alpine permafrost sites by field measurements and from laboratory investigations.…”

Section: Introductionmentioning

confidence: 99%

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Broadband spectral induced polarization for the detection of Permafrost and an approach to ice content estimation – a case study from Yakutia, Russia

et al. 2022

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Abstract. The reliable detection of subsurface ice using non-destructive geophysical methods is an important objective in permafrost research. The ice content of the frozen ground is an essential parameter for further interpretation, for example in terms of risk analysis and for the description of permafrost carbon feedback by thawing processes. The high-frequency induced polarization method (HFIP) enables the measurement of the frequency-dependent electrical conductivity and permittivity of the subsurface, in a frequency range between 100 Hz and 100 kHz. As the electrical permittivity of ice exhibits a strong characteristic behaviour in this frequency range, HFIP in principle is suitable to estimate ice content. Here, we present methodological advancements of the HFIP method and suggest an explicit procedure for ice content estimation. A new measuring device, the Chameleon-II (Radic Research), was used for the first time. Compared to a previous generation, the new system is equipped with longer cables and higher power, such that we can now achieve larger penetration depths up to 10 m. Moreover, it is equipped with technology to reduce electromagnetic coupling effects which can distort the desired subsurface signal. The second development is a method to estimate ice content quantitatively from five Cole–Cole parameters obtained from spectral two-dimensional inversion results. The method is based on a description of the subsurface as a mixture of two components (matrix and ice) and uses a previously suggested relationship between frequency-dependent electrical permittivity and ice content. In this model, the ice relaxation is considered the dominant process in the frequency range around 10 kHz. Measurements on a permafrost site near Yakutsk, Russia, were carried out to test the entire procedure under real conditions at the field scale. We demonstrate that the spectral signal of ice can clearly be identified even in the raw data and show that the spectral 2-D inversion algorithm is suitable to obtain the multidimensional distribution of electrical parameters. The parameter distribution and the estimated ice content agree reasonably well with previous knowledge of the field site from borehole and geophysical investigations. We conclude that the method is able to provide quantitative ice content estimates and that relationships that have been tested in the laboratory may be applied at the field scale.

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Section: Electrical Permittivity Of Frozen Soilmentioning

confidence: 99%

Section: Ice Content Estimationmentioning

confidence: 99%

Section: Ice Content Estimationmentioning

confidence: 99%

Section: And the Parameters Of The Ice Relaxation Are εmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Broadband spectral induced polarization for the detection of Permafrost and an approach to ice content estimation – a case study from Yakutia, Russia

et al. 2022

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Quantitative imaging of water, ice and air in permafrost systems through petrophysical joint inversion of seismic refraction and electrical resistivity data

Wagner

Mollaret

Günther

et al. 2019

Geophysical Journal International

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SUMMARY Quantitative estimation of pore fractions filled with liquid water, ice and air is crucial for a process-based understanding of permafrost and its hazard potential upon climate-induced degradation. Geophysical methods offer opportunities to image distributions of permafrost constituents in a non-invasive manner. We present a method to jointly estimate the volumetric fractions of liquid water, ice, air and the rock matrix from seismic refraction and electrical resistivity data. Existing approaches rely on conventional inversions of both data sets and a suitable a priori estimate of the porosity distribution to transform velocity and resistivity models into estimates for the four-phase system, often leading to non-physical results. Based on two synthetic experiments and a field data set from an Alpine permafrost site (Schilthorn, Bernese Alps and Switzerland), it is demonstrated that the developed petrophysical joint inversion provides physically plausible solutions, even in the absence of prior porosity estimates. An assessment of the model covariance matrix for the coupled inverse problem reveals remaining petrophysical ambiguities, in particular between ice and rock matrix. Incorporation of petrophysical a priori information is demonstrated by penalizing ice occurrence within the first two meters of the subsurface where the measured borehole temperatures are positive. Joint inversion of the field data set reveals a shallow air-rich layer with high porosity on top of a lower-porosity subsurface with laterally varying ice and liquid water contents. Non-physical values (e.g. negative saturations) do not occur and estimated ice saturations of 0–50 per cent as well as liquid water saturations of 15–75 per cent are in agreement with the relatively warm borehole temperatures between −0.5 and 3 ° C. The presented method helps to improve quantification of water, ice and air from geophysical observations.

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Two-dimensional Inversion of wideband spectral data from the Capacitively Coupled Resistivity method – First Applications in periglacial environments

Cited by 2 publications

References 30 publications

Broadband spectral induced polarization for the detection of Permafrost and an approach to ice content estimation – a case study from Yakutia, Russia

Broadband spectral induced polarization for the detection of Permafrost and an approach to ice content estimation – a case study from Yakutia, Russia

Quantitative imaging of water, ice and air in permafrost systems through petrophysical joint inversion of seismic refraction and electrical resistivity data

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