Applied Geophysics

, Volume 14, Issue 2, pp 279–290 | Cite as

2D joint inversion of CSAMT and magnetic data based on cross-gradient theory

  • Kun-Peng Wang
  • Han-Dong Tan
  • Tao Wang


A two-dimensional forward and backward algorithm for the controlled-source audio-frequency magnetotelluric (CSAMT) method is developed to invert data in the entire region (near, transition, and far) and deal with the effects of artificial sources. First, a regularization factor is introduced in the 2D magnetic inversion, and the magnetic susceptibility is updated in logarithmic form so that the inversion magnetic susceptibility is always positive. Second, the joint inversion of the CSAMT and magnetic methods is completed with the introduction of the cross gradient. By searching for the weight of the cross-gradient term in the objective function, the mutual influence between two different physical properties at different locations are avoided. Model tests show that the joint inversion based on cross-gradient theory offers better results than the single-method inversion. The 2D forward and inverse algorithm for CSAMT with source can effectively deal with artificial sources and ensures the reliability of the final joint inversion algorithm.


CSAMT magnetic method data space inversion cross-gradient joint inversion 


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  1. Colombo, D., and Stefano, M. D., 2007, Geophysical modeling via simultaneous joint inversion of seismic, gravity, and electromagnetic data: Application to prestack depth imaging: The Leading Edge, 26(3), 326–331.Google Scholar
  2. Constable, S. C., Parker, R. L., and Constable, C. G., 1987, Occam’s inversion: a practical algorithm for generating smooth models from electromagnetic sounding data: Geophysics, 52(3), 289–300.Google Scholar
  3. DeGroot-Hedlin, C., and Constable, S., 1990, Occam’s inversion to generate smooth, two-dimensional models from magnetotelluric data: Geophysics, 55(12), 1613–1624.Google Scholar
  4. Fregoso E. and Gallardo L. A., 2009, Cross-gradients joint 3D inversion with applications to gravity and magnetic data: Geophysics, 74(4), L31–L42.Google Scholar
  5. Gallardo, L. A., and Meju, M. A., 2003, Characterization of heterogeneous near-surface materials by joint 2D inversion of DC resistivity and seismic data: Geophysical Research Letters, 30(13), 1658–1661.Google Scholar
  6. Guan, Z. N., 2005, Geomagnetic Field and Magnetic Exploration: Geological Publishing House, Beijing, 107–110.Google Scholar
  7. Jegen, M. D., Hobbs, R. W., Tarits, P., et al, 2009, Joint inversion of marine magnetotelluric and gravity data incorporating seismic constraints: Preliminary results of sub-basalt imaging off the Faroe Shelf: Earth and Planetary Science Letters, 282(1), 47–55.Google Scholar
  8. Key, K., 2016, MARE2DEM: a 2-D inversion code for controlled-source electromagnetic and magnetotelluric data: Geophysical Journal International, 207(1), ggw290.Google Scholar
  9. Li, Y. G., and Oldenburg, D. W., 1996, 3-D inversion of magnetic data: Geophysics, 61(2), 394–408.Google Scholar
  10. Li, Y. G., and Oldenburg, D. W., 2003, Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method: Geophys. J. Int., 152 251–265.Google Scholar
  11. Lin, C. H., Tan, H. D., Shu Q., et al., 2012, Threedimensional conjugate gradient inversion of CSAMT data: Chinese J. Geophys. (in Chinese), 55(11), 3829–3838.Google Scholar
  12. McGillivray, P. R., Oldenburg, D. W., Ellis, R. G., et al., 1994, Calculation of sensitivities for the frequencydomain electromagnetic problem: Geophys. J. Int., 116 1–4.Google Scholar
  13. Mitsuhata, Y., Uchida, T., and Amano, H., 2002, 2.5-D inversion of frequency-domain electromagnetic data generated by a grounded-wire source: Geophysics, 67(6), 1753–1768.Google Scholar
  14. Peng, M., 2012, Joint Inversion of Magnetotelluric and Teleseismic data: PhD Thesis, China University of Geosciences, Beijing.Google Scholar
  15. Rodi, W., and Mackie, R. L., 2001, Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion: Geophysics, 66(1), 174–187.Google Scholar
  16. Sasaki, Y, 1989, Two-dimensional joint inversion of magnetotelluric and dipole-dipole resistivity data: Geophysics, 54(2), 254–262Google Scholar
  17. Siripunvaraporn, W., and Egbert, G., 2000, An efficient data-subspace inversion method for 2-D magnetotelluric data: Geophysics, 65(3), 791–803.Google Scholar
  18. Vozoff, K., and Jupp, D. L. B., 1977, Effective search for a buried layer: An approach to experimental design in geophysics: Exploration Geophysics, 8(1), 6–15.Google Scholar
  19. Yang, B., 2012, Three Dimensional Marine Controlled Source Electromagnetic Data Forward Modeling and Inversion with Topography: PhD Thesis, China University of Geosciences.Google Scholar
  20. Zhang, B., 2012, Research of 2D CSAMT Forward and Inversion: MSc. Thesis, China University of Geosciences, Beijing.Google Scholar
  21. Zhou, L. F., 2012, Two Dimensional Joint Inversion of MT and Seismic data: MSc. Thesis, China University of Geosciences, Beijing.Google Scholar

Copyright information

© Editorial Office of Applied Geophysics and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Geophysics and information TechnologyChina University of Geosciences(Beijing)BeijingChina
  2. 2.Key Laboratory of Geo-detection (China University of Geosciences)Ministry of EducationBeijingChina
  3. 3.Key Laboratory of Electromagnetic Radiation and Sensing TechnologyChinese Academy of SciencesBeijingChina

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