The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model
In the field of frequency-domain electromagnetic detection, skin depth is an important parameter for electromagnetic data interpretation and imaging. The classic skin depth formula is calculated based only on conductivity; the induced-polarization effect in real earth is not considered, so the imagi...
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MDPI AG
2020-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/4/1456 |
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| author | Yanju Ji Xiangdong Meng Jingya Shao Yanqi Wu Qiong Wu |
| author_facet | Yanju Ji Xiangdong Meng Jingya Shao Yanqi Wu Qiong Wu |
| author_sort | Yanju Ji |
| collection | DOAJ |
| description | In the field of frequency-domain electromagnetic detection, skin depth is an important parameter for electromagnetic data interpretation and imaging. The classic skin depth formula is calculated based only on conductivity; the induced-polarization effect in real earth is not considered, so the imaging results have obvious errors. To solve these problems, based on plane wave theory and the Cole−Cole conductivity model, a generalized skin depth formula of polarized media is derived in the frequency domain. The accuracy of the generalized skin depth is verified through comparison with the classical skin depth. To show the practicability of this study, the theoretical data with induced polarization (IP) effects are used to explain the generalized skin depth for polarized porous media. The generalized skin depth calculation for a typical porous polarization model is related not only to conductivity, but also to polarization parameters, such as chargeability, characteristic time constant, and frequency dependence. At low-frequency excitation, the generalized skin depth formula can be used to calculate the propagation depth of electromagnetic waves relatively accurately for porous polarized media. This method can be applied to the calculation of electromagnetic wave propagation depths in complex dispersive media. Compared with non-polarized media, in porous polarized media, under low-frequency excitation, the electromagnetic wave propagates deeper, allowing the detection of deeper objects. The data interpretation and imaging of polarized porous media by the generalized skin depth formula have higher accuracy. |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-13T00:06:04Z |
| publishDate | 2020-02-01 |
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| spelling | doaj.art-70a843c101624703980aeffe07a9c05a2022-12-22T00:06:14ZengMDPI AGApplied Sciences2076-34172020-02-01104145610.3390/app10041456app10041456The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole ModelYanju Ji0Xiangdong Meng1Jingya Shao2Yanqi Wu3Qiong Wu4College of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, ChinaCollege of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, ChinaIn the field of frequency-domain electromagnetic detection, skin depth is an important parameter for electromagnetic data interpretation and imaging. The classic skin depth formula is calculated based only on conductivity; the induced-polarization effect in real earth is not considered, so the imaging results have obvious errors. To solve these problems, based on plane wave theory and the Cole−Cole conductivity model, a generalized skin depth formula of polarized media is derived in the frequency domain. The accuracy of the generalized skin depth is verified through comparison with the classical skin depth. To show the practicability of this study, the theoretical data with induced polarization (IP) effects are used to explain the generalized skin depth for polarized porous media. The generalized skin depth calculation for a typical porous polarization model is related not only to conductivity, but also to polarization parameters, such as chargeability, characteristic time constant, and frequency dependence. At low-frequency excitation, the generalized skin depth formula can be used to calculate the propagation depth of electromagnetic waves relatively accurately for porous polarized media. This method can be applied to the calculation of electromagnetic wave propagation depths in complex dispersive media. Compared with non-polarized media, in porous polarized media, under low-frequency excitation, the electromagnetic wave propagates deeper, allowing the detection of deeper objects. The data interpretation and imaging of polarized porous media by the generalized skin depth formula have higher accuracy.https://www.mdpi.com/2076-3417/10/4/1456chargeabilitycole–cole modelfrequency dependencegeneralized skin depth |
| spellingShingle | Yanju Ji Xiangdong Meng Jingya Shao Yanqi Wu Qiong Wu The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model Applied Sciences chargeability cole–cole model frequency dependence generalized skin depth |
| title | The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model |
| title_full | The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model |
| title_fullStr | The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model |
| title_full_unstemmed | The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model |
| title_short | The Generalized Skin Depth for Polarized Porous Media Based on the Cole–Cole Model |
| title_sort | generalized skin depth for polarized porous media based on the cole cole model |
| topic | chargeability cole–cole model frequency dependence generalized skin depth |
| url | https://www.mdpi.com/2076-3417/10/4/1456 |
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