Abstract
Electrically anisotropic strata are abundant in nature, so their study can help our data interpretation and our understanding of the processes of geodynamics. However, current data processing generally assumes isotropic conditions when surveying anisotropic structures, which may cause discrepancies between reality and electromagnetic data interpretation. Moreover, the anisotropic interpretation of the time-domain airborne electromagnetic (TDAEM) method is still confined to one dimensional (1D) cases, and the corresponding three-dimensional (3D) numerical simulations are still in development. In this study, we expanded the 3D TDAEM modeling of arbitrarily anisotropic media. First, through coordinate rotation of isotropic conductivity, we obtained the conductivity tensor of an arbitrary anisotropic rock. Next, we incorporated this into Maxwell’s equations, using a regular hexahedral grid of vector finite elements to subdivide the solution area. A direct solver software package provided the solution for the sparse linear equations that resulted. Analytical solutions were used to verify the accuracy and feasibility of the algorithm. The proven model was then applied to analyze the effects of arbitrary anisotropy in 3D TDAEM via the distribution of responses and amplitude changes, which revealed that different anisotropy situations strongly affected the responses of TDAEM.
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References
Amestoy, P. R., Duff, I. S., L'Excellent, J. Y., et al., 2001, A fully asynchronous multifrontal solver using distributed dynamic scheduling: SIAM Journal on Matrix Analysis & Applications, 23(1), 15–41.
Auken, E., and Christiansen, A. V., 2004, Layered and laterally constrained 2D inversion of resistivity data: Geophysics, 69, 752–761.
Avdeev, D., Kuvshinov, A. V., Oankratov, O. V., et al., 1998, Three-dimensional frequency-domain modeling of airborne electromagnetic responses: Exploration Geophysics, 29(1/2), 111–119.
Fan, C. S., 2013, Research on complex resistivity forward and inversion eith finite element method and its application (in Chinese): PhD thesis, Jilin University.
Haber, E., and Schwarzbach, C., 2014, Parallel inversion of large-scale airborne time-domain electromagnetic data with multiple Oc Tree meshes: Inverse Problems, 30(30), 055011.
Hu, Y. C., Li, T. L., Fan, C. S., et al., 2015, Threedimensional tensor controlled-source electromagnetic modeling based on the vector finite-element method: Applied Geophysics, 12(1), 35–46.
Huang, W., Yin, C. C., Ben, F., Liu, Y. H., Chen, H., and Cai, J., 2016, 3D Forward modeling for frequency AEM by vector finite element: Earth Science (in Chinese), 41(2), 331–342.
Huang, W., 2016, Time-domain airborne electromagnetic simulation and key technologies (in Chinese): PhD thesis, Jilin University.
Jin, J. M., 1998, Electromagnetic FEM (in Chinese). Xi’an University of Electronic Science and Technology Press, Xi’an, 96.
Leppin, M., 1992, Electromagnetic modeling of 3-D sources over 2-D in homogeneties in the time domain: Geophysics, 57(8), 994–1003.
Li, W. B., Zeng, S. F., Li, J., Chen, X., and Wang, K., Xia, Z., 2016, 2.5D forward modeling and inversion of frequency-domain airborne electromagnetic data: Applied Geophysics, 13(1), 37–47.
Liu, Y. H., and Yin, C. C., 2014, 3D anisotropic modeling for airborne EM systems using finite-difference method: Journal of Applied Geophysics, 19, 186–194.
Liu, Y. H., Yin, C. C., Ren, X. Y., and Qiu, C. K., 2016, 3D parallel inversion of time-domain airborne EM data: Applied Geophysics, 13(4), 701–711.
Mann, J. E., 1965, The importance of anisotropic conductivity in magnetotelluric interpretation: J. Geophys. Res., 70(12), 2940–2942.
Mao, T. E., Xu, G. Y., Fan, S. Y., Zhao., M, and Sun, J. F., 1999, The dynamic evolution image and the seismogenic process of anisotropy of the resistivity: Acta Seismological Sinica (in Chinese), 21(2), 180–186.
Newman, G. A., and Alumbaugh, D. L., 1995, Frequencydomain modeling of airborne electromagnetic responses using staggered finite differences: Geophysical Prospecting. 43(8), 1021–1042.
Pemberton, R. H., 1962, Airborne electromagnetic in review: Geophysics, XXVII(5), 691713.
Raiche, A., F., and Wilson, S. G., 2007, Practical 3D EM inversion—The P223F software suite: ASEG Extended Abstracts. (1), 1.
Reddy, I. K., and Rankin, D., 1971, Magnetotelluric effect of dipping anisotropies: Geophysical Prospecting, 19, 84–97.
Ren, Z. Y., and Tang, J. T., 2014, A goal-oriented adaptive finite-element approach for multi-electrode resistivity system: Geophys. J. Int., 199, 136–145.
Ren, Z. Y., Kalscheuer, T., Greenhalgh, S., and Maurer, H., 2014, A finite-element-based domain-decomposition approch for plane wave 3D electromagnetic modeling. Geophysics, 79(6), E255–E268.
Ruan, A. G., and Li, Q. H., 2000, The temporal evolution of shear-wave splitting and geoelectrical anisotropy during Yongdeng earthquake: Earthquake Research in China(in Chinese), 16(4), 316–326.
Sugeng, F., Raiche, A., and Rij, O. L., 1993, Comparing the time-domain EM response of 2-D and elongated 3-D conductors excited by a rectangular loop source: Journal of Geomagnetism and Geoelectricity, 45(9), 873–885.
Wang, W., 2013, Study of 3D arbitrary anisotropic resistivity modeling and interpretation using unstructured finite element methods:. PhD thesis, University of science and technology of China.
Yang, C. F., and Lin, C. Y., 1997, MT inversion made for anisotropic medium in GANSU and it’s neighbouring areas and deep crustal stress field and deformation belt in the same areas: Inland Earthquake (in Chinese), 11(2), 143–147.
Yin, C. C., and Fraser, D. C., 2004, The effect for the electrical anisotropy on the response of helicopter-borne frequency-domain electromagnetic systems: Geophys. Prospect, 52, 339–416.
Yin, C. C., Huang, W., and Ben, F., 2013, The full-time electromagnetic modeling for time-domain airborne electromagnetic systems: Chinese J. Geophys. (in Chinese), 56(9), 3153–3162.
Yin, C. C., Qi, Y. F., and Liu, Y. H., 2016, 3D time-domain airborne EM modeling for an arbitrarily anisotropic earth: Geophiscs, 131, 163–178.
Zhang, Z. Y., Tan, H. D., Wang, K. P., Lin, C. H., Zhang, B. and Xie, M. B., 2016, Two-dimensional inversion of spectral induced polarization data using MPI parallel algorithm in data space: Applied Geophysics, 13(1), 13–24.
Acknowledgements
We are grateful to Teacher Liu Yun-He and Dr. Ren Xiu-Yan for their advice and suggestions. We want to thank all reviewers and editors for their constructive comments and suggestions, which greatly improved the clarity of this paper.
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This paper is financially supported by National Nonprofit institute Research Grant of IGGE (Nos. AS2017J06, AS2017Y04, and AS2016J10), Survey on coastal area for airborne magnetic method of UNV in Jiangsu (No. DD20160151-03), Key National Research Project of China (No. 2017YFC0601900), Key Program of National Natural Science Foundation of China (No. 41530320), Natural Science Foundation (No. 41274121), and China Natural Science Foundation for Young Scientists (No. 41404093).
Huang Wei received her B.Sc. majoring in exploration technology and engineering in 2011, and Ph.D. majoring in Geo-exploration and Information Technology in 2016 from Jilin University. She is presently working in IGGE as an engineer, mainly engaged in the theoretical research and application of aero-geophysical techniques. Her research interests are forward modeling and inversion for AEM, data preprocessing and processing for AEM, and imaging and inversion for AEM. Email: huangwei2012511@163.com.
Corresponding author: Ben Fang received his B.Sc. majoring in exploration technology and engineering in 2011 and Ph.D. majoring in Geo-exploration and Information Technology in 2016 from Jilin University. He is now working in IGGE as an engineer, mainly engaged in the theoretical research and application of aero-geophysical techniques.
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Huang, W., Ben, F., Yin, CC. et al. Three-dimensional arbitrarily anisotropic modeling for time-domain airborne electromagnetic surveys. Appl. Geophys. 14, 431–440 (2017). https://doi.org/10.1007/s11770-017-0627-8
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DOI: https://doi.org/10.1007/s11770-017-0627-8