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Distribution patterns of the electromagnetic fields of orthogonal horizontal magnetic dipoles as sources in CSRMT |
CHEN Xing-Peng1(), WANG Liang1(), LONG Xia1, XI Zhen-Zhu2, QI Qing-Xin1, XUE Jun-Ping1, DAI Yun-Feng3, HU Zi-Jun4 |
1. Hunan 5D Geosciences Co. Ltd., Changsha 410205, China 2. School of Geosciences and Info-Physics, Central South University, Changsha 410083, China 3. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210029, China 4. School of Information Science and Engineering, Hunan Women's University, Changsha 410004, China |
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Abstract Controlled source radio-magnetotellurics (CSRMT) measurements typically use artificial field sources transmitting at frequencies ranging from 1 to 1 000 kHz. Among the many transmitting sources of the artificial source electromagnetic method, the orthogonal horizontal electric dipole source and the orthogonal horizontal magnetic dipole source are preferred field sources for tensor resistivity measurements. Hence, using the analytical formulas for electromagnetic fields based on the horizontal electric dipole source and the horizontal magnetic dipole source, this study calculated the electromagnetic fields based on the orthogonal horizontal electric dipole source and the orthogonal horizontal magnetic dipole source in the homogeneous half-space model. The results show that: (1) The displacement current needs to be considered at transmitting frequencies above 100 kHz; (2) The effects of displacement current on the tensor apparent resistivity and the impedance phase can be ignored in the far zone; (3) With a constant model resistivity and varying distances between transmitter and receiver, model calculations indicate a larger measurement range in the far zone of the high-frequency electromagnetic field; (4) With a constant distance between transmitter and receiver and varying model resistivities, model calculations suggest that the far-zone range of the electromagnetic field is significantly influenced by resistivity, and that the high-resistivity model requires higher frequencies for achieving far-zone observation conditions.Compared with the electric dipole source, the magnetic dipole source exhibits smaller deviations on the tensor apparent resistivity and impedance phase with the actual value, which is more suitable for geological analysis.
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Received: 15 September 2023
Published: 27 June 2024
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The diagram of orthogonal horizontal electric or magnetic dipoles source generating electromagnetic field in region 1
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The amplitude of the horizontal component of the electromagnetic field distribution diagram form the orthogonal horizontal electric dipole source with the frequency of 10 kHz
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The amplitude of the horizontal component of the electromagnetic field distribution diagram form the orthogonal horizontal electric dipole source with the frequency of 100 kHz
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The amplitude of the horizontal component of the electromagnetic field distribution diagram form the orthogonal horizontal magnetic dipole source with the frequency of 10 kHz
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The amplitude of the horizontal component of the electromagnetic field distribution diagram form the orthogonal horizontal magnetic dipole source with the frequency of 100 kHz
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CSRMT apparent resistivity and impedance phase calculation model
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Tensor apparent resistivity and phase distribution diagram from the orthogonal horizontal electric dipole source with the frequency of 100 kHz a—the distribution diagram of apparent resistivity in the x-direction; b—the distribution diagram of apparent resistivity in the y-direction; c—the distribution diagram of phase in the x-direction; d—the distribution diagram of phase in the y-direction
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Tensor apparent resistivity and phase distribution diagram from the orthogonal horizontal magnetic dipole source with the frequency of 100 kHz a—the distribution diagram of apparent resistivity in the x-direction; b—the distribution diagram of apparent resistivity in the y-direction; c—the distribution diagram of phase in the x-direction; d—the distribution diagram of phase in the y-direction
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The errors of tensor apparent resisvitiy and impedance phase with and without displancement current at differennt separations between transmitter and receiver of the orthogonal horizontal electric dipole source (a) and the orthogonal horizontal magentic dipole source (b)
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Effect of transceiver distance variation on the tensor apparent resistivity and phase of the orthogonal horizontal electric and magnetic dipole sources a—10 kHz frequency transmit effect on resistivity;b—10 kHz frequency transmit effect on phase;c—100 kHz frequency transmit effect on resistivity;d—100 kHz frequency transmit effect on phase;e—1 000 kHz frequency transmit effect on resistivity;f—1 000 kHz frequency transmit effect on phase
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Variation of tensor apparent resistivity and phase with frequency for different background resistivities under the excitation of the orthogonal horizontal electric and magnetic dipole sources a—the change of tensor apparent resistivity on the background of 10 Ω·m;b—the change of phase on the background of 10 Ω·m;c—the change of tensor apparent resistivity on the background of 100 Ω·m;d—the change of phase on the background of 100 Ω·m;e—the change of tensor apparent resistivity on the background of 1 000 Ω·m;f—the change of phase on the background of 1 000 Ω·m
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