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Fast 3D forward modeling of the magnetic field and gradient tensor on an undulated surface

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Abstract

Magnetic field gradient tensor technique provides abundant data for delicate inversion of subsurface magnetic susceptibility distribution. Large scale magnetic data inversion imaging requires high speed and accuracy for forward modeling. For arbitrarily distributed susceptibility data on an undulated surface, we propose a fast 3D forward modeling method in the wavenumber domain based on (1) the wavenumber-domain expression of the prism combination model and the Gauss–FFT algorithm and (2) cubic spline interpolation. We apply the proposed 3D forward modeling method to synthetic data and use weighting coefficients in the wavenumber domain to improve the modeling for multiple observation surfaces, and also demonstrate the accuracy and efficiency of the proposed method.

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Acknowledgements

We thank Dr. Yungui Xu and Dr. Shunguo Wang for help with the English. The editors and reviewers are also thanked for comments and suggestions that improved the manuscript.

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Authors and Affiliations

  1. Hunan Key Laboratory of Nonferrous Resources and Geological Hazards Exploration, Changsha, 410083, China

    Kun Li, Qing-Rui Chen, Shi-Kun Dai, Qian-Jiang Zhang, Dong-Dong Zhao & Jia-Xuan Ling

  2. Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring of Ministry of Education, Central South University, Changsha, 410083, China

    Kun Li, Qing-Rui Chen, Shi-Kun Dai, Qian-Jiang Zhang, Dong-Dong Zhao & Jia-Xuan Ling

  3. School of Geosciences and Info-Physics of Central South University, Changsha, 410083, China

    Kun Li, Qing-Rui Chen, Shi-Kun Dai, Qian-Jiang Zhang, Dong-Dong Zhao & Jia-Xuan Ling

  4. School of College of Earth Sciences of Guilin University of Technology, Guilin, 541004, China

    Long-Wei Chen & Qian-Jiang Zhang

Authors
  1. Kun Li
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  2. Long-Wei Chen
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  3. Qing-Rui Chen
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  4. Shi-Kun Dai
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  5. Qian-Jiang Zhang
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  6. Dong-Dong Zhao
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  7. Jia-Xuan Ling
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Corresponding author

Correspondence to Long-Wei Chen.

Additional information

This work was supported by the National Special Plan for the 13th Five-Year Plan of China (No. 2017YFC0602204-10) and Independent Exploration of the Innovation Project for Graduate Students at Central South University (No. 2017zzts176) and National Natural Science Foundation of China (Nos. 41574127, 41404106, and 41674075) and Postdoctoral Fund Projects of China (No. 2017M622608) and National Key R&D Program of China (No. 2018YFC0603602) and Natural Science Youth Fund Project of the Hunan Province, China (No. 2018JJ3642).

Li Kun graduated from China University of Petroleum (Beijing) in 2013. He presently is a Ph.D. at Central South University. His main research interests are geophysical numerical simulation and inversion imaging.

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Li, K., Chen, LW., Chen, QR. et al. Fast 3D forward modeling of the magnetic field and gradient tensor on an undulated surface. Appl. Geophys. 15, 500–512 (2018). https://doi.org/10.1007/s11770-018-0690-9

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  • DOI: https://doi.org/10.1007/s11770-018-0690-9

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