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3-D transient electromagnetic inversion based on explicit finite-difference forward modeling

  • Electrical and electromagnetic methods
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Abstract

We propose a 3-D transient electromagnetic inversion method based on explicit finite-difference forward modeling. For forward modeling, we calculate the whole-space initial field excited by magnetic dipole sources at an initial time after the current is switched off and apply Maxwell’s equations on time using the modified DuFort–Frankel method and staggered grids. For inversion, we use the least squares optimization method. We test the inversion method using synthetic and field data. The conductivity brick is recovered well in synthetic. The inversion results of field data are consistent with the known geological conditions. The synthetic and field examples show that the inversion method based on explicit finite-difference forward modeling is effective.

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References

  • Chang, J., Yu, J., and Liu, Z., 2016, Three-dimensional numerical modeling of full-space transient electromagnetic responses of water in goaf: Applied Geophysics, 13, 539–552.

    Article  Google Scholar 

  • Commer, M., Hoversten, G.M., and Um, E. S., 2015, Transient-electromagnetic finite-difference timedomain earth modeling over steel infrastructure: Geophysics, 80(2), E147–E162.

    Article  Google Scholar 

  • Cox, L.H., Wilson, G.A., and Zhdanov, M.S., 2010, 3D inversion of airborne electromagnetic data using a moving footprint: Exploration Geophysics, 41(4), 250–259.

    Article  CAS  Google Scholar 

  • Di, Q.Y., Xue, G.Q., Yin, C.C., and Li, X., 2020, New methods of controlled-source electromagnetic detection in China: Science China Earth Sciences, 50(9), 1219–1227.

    Google Scholar 

  • Kaufman, A.A., and Keller G.V., 1983, Frequency and Transient Sounding: Elsevier.

    Google Scholar 

  • Li, F., and Cheng, J.L., 2023, 3D finite-difference transient electromagnetic modeling with a wholespace initial field: Geophysics, 88(3), F15–F27.

    Article  Google Scholar 

  • Li J., Farquharson, C. G., and Hu, X., 2017, 3D vector finite-element electromagnetic forward modeling for large loop sources using a total-field algorithm and unstructured tetrahedral grids: Geophysics, 82(1), E1–E16.

    Article  Google Scholar 

  • Liu, Y.H., Yin, C.C., Qiu, C.K., Hui, Z.J., Zhang, B., et al., 2019, 3-D inversion of transient EM data with topography using unstructured tetrahedral grids: Geophysical Journal International, 217, 301–318.

    Article  CAS  Google Scholar 

  • Newman, G.A., Hohmann, G.W., and Anderson, W.L., 1986, Transient electromagnetic response of a three-dimensional body in a layered earth: Geophysics, 51(8), 1608–1627.

    Article  Google Scholar 

  • Oldenburg, D.W., Haber, E., and Shekhtman, R., 2013, Three dimensional inversion of multisource time domain electromagnetic data: Geophysics, 78(1), E47–E57.

    Article  Google Scholar 

  • Qi, Y.F., Zhi, Q.Q., Li, X., Jing, X., Qi, Z.P., et al., 2021, Three-dimensional ground TEM inversion over a topographic earth considering ramp time: Chinese Journal of Geophysics (in Chinese), 64(7), 2566–2577.

    Google Scholar 

  • Ren, X.Y., Yin, C.C., Macnae, J., Liu, Y.H., and Zhang, B., 2018, 3D time domain airborne electromagnetic inversion based on secondary field finite-volume method: Geophysics, 83(4), E219–E228.

    Article  Google Scholar 

  • Schwarzbach, C., and Haber, E., 2013, Finite element-based inversion for time harmonic electromagnetic problems: Geophysical Journal International, 193, 615–634.

    Article  Google Scholar 

  • Strack, K.M., 1992. Exploration with Deep Transient Electromagnetics: Elsevier.

    Google Scholar 

  • Sun, H., Li, X., Li, S., Qi, Z., Wang, Y., et al., 2013, Three-dimensional FDTD modeling of TEM excited by a loop source considering ramp time: Chinese Journal of Geophysics (in Chinese), 56(3), 1049–1064.

    Google Scholar 

  • Wang, T., and Hohmann, G.W., 1993, A finite-diff erence, time-domain solution for three-dimensional electromagnetic modelling: Geophysics, 58(6), 797–809.

    Article  Google Scholar 

  • Xue, G., Chang, J., Lei, K., and Chen, K., 2021, Review on three-dimensional simulations of transient electromagnetic field: Journal of Earth Sciences and Environment (in Chinese), 43(3), 559–567.

    Google Scholar 

  • Yang, D.K., Oldenburg, D.W., and Haber, E., 2014, 3-D inversion of airborne electromagnetic data parallelized and accelerated by local mesh and adaptive soundings: Geophysical Journal International, 196, 1492–1507.

    Article  Google Scholar 

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Acknowledgments

This work is supported by the Natural Science Foundation of China (Grant no. 41974088) and Natural Science Foundation of Hebei Province of China (Grant No. D2023508001). We would like to thank the reviewers and editors for their thoughtful and constructive comments on this paper.

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Correspondence to Qiang Tan.

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Li Fei, an associate professor, graduated from China University of Mining and Technology, Beijing, with a PhD in applied geophysics. He is currently working at the North China Institute of Science and Technology. His research focuses on geophysical prospecting technology of mine disasters and geophysical forward and inversion.

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Li, F., Tan, Q., Wen, LF. et al. 3-D transient electromagnetic inversion based on explicit finite-difference forward modeling. Appl. Geophys. 20, 310–315 (2023). https://doi.org/10.1007/s11770-023-1028-9

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  • DOI: https://doi.org/10.1007/s11770-023-1028-9

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