The detection effect of the transient electromagnetic method is ambiguous in engineering applications due to the existence of interference sources, so explaining the influence of these fixed interference sources on is crucial. In this paper, the response characterisation of transient electromagnetic signals of fixed interference sources are thoroughly investigated. First, the secondary field generated by these interference sources is analyzed, and a typical fixed interference source is calculated. Then, a sensitivity analysis of the transient electromagnetic response curve is carried out. Finally, the mathematical superposition method for multiple field sources is proposed and verified. The results illustrate that the transient electromagnetic response curve of uniform full-space surrounding rock with a single fixed interference source has an apparent lifting phenomenon in the middle stage and presents an approximate horizontal change rule at the late stage. The transient electromagnetic response curves of multiple field sources separately illustrate the response characterisation of different field sources at different time stages. These research results can provide a valuable reference for the on-site interpretation of detection signals.
Citation: Wangping Qian, Yikang Xu, Zhenyuan Gu, Ziru Xiang, Zongyang Li, Jinchao Liu, Jiujiang Wu. Characterisation of transient electromagnetic signals during fixed interference sources in tunnel structure[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 6907-6925. doi: 10.3934/mbe.2021343
The detection effect of the transient electromagnetic method is ambiguous in engineering applications due to the existence of interference sources, so explaining the influence of these fixed interference sources on is crucial. In this paper, the response characterisation of transient electromagnetic signals of fixed interference sources are thoroughly investigated. First, the secondary field generated by these interference sources is analyzed, and a typical fixed interference source is calculated. Then, a sensitivity analysis of the transient electromagnetic response curve is carried out. Finally, the mathematical superposition method for multiple field sources is proposed and verified. The results illustrate that the transient electromagnetic response curve of uniform full-space surrounding rock with a single fixed interference source has an apparent lifting phenomenon in the middle stage and presents an approximate horizontal change rule at the late stage. The transient electromagnetic response curves of multiple field sources separately illustrate the response characterisation of different field sources at different time stages. These research results can provide a valuable reference for the on-site interpretation of detection signals.
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Wangping Qian, Yikang Xu, Zhenyuan Gu, Ziru Xiang, Zongyang Li, Jinchao Liu, Jiujiang Wu. Characterisation of transient electromagnetic signals during fixed interference sources in tunnel structure[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 6907-6925. doi: 10.3934/mbe.2021343
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