Analytical algorithms of Jacobian matrix in one-dimensional Occam inversion of central loop transient electromagnetism based on all-time apparent ressivivity
Song-Wei GUO1, Xiao-Pan LIU2, Kai ZHENG3, Lei ZHANG4
1. School of Earth Sciences and Resources, China University of Geosciences (Beijing) , Beijing 100083, China 2. Institute of Geology and Mineral Resources Exploration of Zhejiang Province, Hangzhou 310000, China 3. College of Geophysics and Petroleum Resources, Yangtze University, Wuhan 430100, China 4. Inner Mongolia Land Resources Exploration and Development Co., Ltd., Hohhot 010020, China
In the current engineering application, one-dimensional inversion result of TEM sounding is still an important basis for geological interpretation. In order to improve the computational efficiency and accuracy of one-dimensional inversion, it is necessary to analytically derive Jacobian matrix of one-dimensional forward. In this paper, the analytical formulas of Jacobian matrix in one-dimensional forward of central loop transient electromagnetic based on all-time resisitivity are derived in detail. It is proved that the formulas are correct and worth adopting, as shown by testing one-dimensional Occam inversion of theoretical model and measured data.
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Song-Wei GUO, Xiao-Pan LIU, Kai ZHENG, Lei ZHANG. Analytical algorithms of Jacobian matrix in one-dimensional Occam inversion of central loop transient electromagnetism based on all-time apparent ressivivity. Geophysical and Geochemical Exploration, 2020, 44(3): 559-567.
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