Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements
ABSTRACT Electrical resistivity tomography (ERT) is a well‐developed geophysical technique that is used to study a variety of geoscientific problems. In recent years it has been applied to the study of permafrost processes at both field and laboratory scale. However, highly resistive surface conditi...
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crwiley:10.3997/1873-0604.2014008 2024-09-15T18:30:13+00:00 Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements Uhlemann, Sebastian Kuras, Oliver 2013 http://dx.doi.org/10.3997/1873-0604.2014008 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.3997%2F1873-0604.2014008 https://onlinelibrary.wiley.com/doi/pdf/10.3997/1873-0604.2014008 https://onlinelibrary.wiley.com/doi/full-xml/10.3997/1873-0604.2014008 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor Near Surface Geophysics volume 12, issue 4, page 523-537 ISSN 1569-4445 1873-0604 journal-article 2013 crwiley https://doi.org/10.3997/1873-0604.2014008 2024-07-23T04:16:08Z ABSTRACT Electrical resistivity tomography (ERT) is a well‐developed geophysical technique that is used to study a variety of geoscientific problems. In recent years it has been applied to the study of permafrost processes at both field and laboratory scale. However, highly resistive surface conditions limit its applicability due to high and variable contact resistances. The use of capacitively coupled sensors is expected to overcome this problem by providing a steady contact impedance regime. Although the theory of capacitive resistivity imaging (CRI) is well understood, a point‐pole approximation of the sensors is typically used to show the similarity between CRI and ERT. Due to their nature, capacitive sensors cannot be designed as point‐poles as they require a finite extent. This paper assesses the effects the finite size of sensors has on the applicability of CRI theory and aims to provide an improved understanding of the measured data. We employ finite‐element numerical modelling to simulate CRI measurements over a homogeneous halfspace and on a finite rock sample. The results of a parameter study over a homogeneous halfspace are compared to an analytical solution. Observed discrepancies between the two solutions clearly indicate that large sensor sizes and small sensor separations violate the point‐pole assumption of the analytical solution. In terms of data interpretation, this dictates that sensor separations smaller than twice the sensor size have to be avoided in order to remain below a generic error threshold of 5%. We show that sensor elevation, halfspace resistivity, halfspace permittivity, and measurement frequency have only minor effects on the discrepancy between simulation and analytical solution. The simulation of sequential CRI measurements on a finite rock sample suggests that, in line with expectations, the measured signals lie mainly in the 4 th quadrant of the complex plane. However, we can also observe data with negative geometric factors, which are related to uncommon array. A ... Article in Journal/Newspaper permafrost Wiley Online Library Near Surface Geophysics 12 4 523 537 |
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ABSTRACT Electrical resistivity tomography (ERT) is a well‐developed geophysical technique that is used to study a variety of geoscientific problems. In recent years it has been applied to the study of permafrost processes at both field and laboratory scale. However, highly resistive surface conditions limit its applicability due to high and variable contact resistances. The use of capacitively coupled sensors is expected to overcome this problem by providing a steady contact impedance regime. Although the theory of capacitive resistivity imaging (CRI) is well understood, a point‐pole approximation of the sensors is typically used to show the similarity between CRI and ERT. Due to their nature, capacitive sensors cannot be designed as point‐poles as they require a finite extent. This paper assesses the effects the finite size of sensors has on the applicability of CRI theory and aims to provide an improved understanding of the measured data. We employ finite‐element numerical modelling to simulate CRI measurements over a homogeneous halfspace and on a finite rock sample. The results of a parameter study over a homogeneous halfspace are compared to an analytical solution. Observed discrepancies between the two solutions clearly indicate that large sensor sizes and small sensor separations violate the point‐pole assumption of the analytical solution. In terms of data interpretation, this dictates that sensor separations smaller than twice the sensor size have to be avoided in order to remain below a generic error threshold of 5%. We show that sensor elevation, halfspace resistivity, halfspace permittivity, and measurement frequency have only minor effects on the discrepancy between simulation and analytical solution. The simulation of sequential CRI measurements on a finite rock sample suggests that, in line with expectations, the measured signals lie mainly in the 4 th quadrant of the complex plane. However, we can also observe data with negative geometric factors, which are related to uncommon array. A ... |
format |
Article in Journal/Newspaper |
author |
Uhlemann, Sebastian Kuras, Oliver |
spellingShingle |
Uhlemann, Sebastian Kuras, Oliver Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
author_facet |
Uhlemann, Sebastian Kuras, Oliver |
author_sort |
Uhlemann, Sebastian |
title |
Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
title_short |
Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
title_full |
Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
title_fullStr |
Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
title_full_unstemmed |
Numerical Simulations of Capacitive Resistivity Imaging (CRI) Measurements |
title_sort |
numerical simulations of capacitive resistivity imaging (cri) measurements |
publisher |
Wiley |
publishDate |
2013 |
url |
http://dx.doi.org/10.3997/1873-0604.2014008 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.3997%2F1873-0604.2014008 https://onlinelibrary.wiley.com/doi/pdf/10.3997/1873-0604.2014008 https://onlinelibrary.wiley.com/doi/full-xml/10.3997/1873-0604.2014008 |
genre |
permafrost |
genre_facet |
permafrost |
op_source |
Near Surface Geophysics volume 12, issue 4, page 523-537 ISSN 1569-4445 1873-0604 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.3997/1873-0604.2014008 |
container_title |
Near Surface Geophysics |
container_volume |
12 |
container_issue |
4 |
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523 |
op_container_end_page |
537 |
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1810471683436314624 |