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Some issues on 2.5-D transient electromagnetic forward

  • Geology, Mining And Civil Engineering
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Abstract

Numerical calculation for two integral transforms in 2.5-D transient electromagnetic forward is a difficult and key task, namely, the inverse Fourier transform and the inverse Laplace transform. Some effective algorithms for them were described. Based on the known algorithms in DC resistivity on wave-number distribution and selection, we proposed a principle on how to choose the least wave-number concerning the central-loop transient electromagnetic method. First, observe the behavior of transformation function curve with regard to wave-number in Fourier domain. In the light of its asymptote, ascertain the coverage scope of wave-number. Compared with analytic solution, the least wave-number in Fourier domain can be derived. Furthermore, the Laplace numerical inversion algorithm which needs only a few Laplace variables in pure real domain was also introduced here. The procedure was applied to forward modeling on transient electromagnetic field of a vertical magnetic dipole over uniform half-space to demonstrate them effectiveness and general applicability.

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References

  1. LUO Yan-zhong, ZHANG Gui-qing. Application of Electronic Computer in Electrical Prospecting [M]. Wuhan: Wuhan College of Geology Press, 1987. (in Chinese)

    Google Scholar 

  2. WANG Hua-jun. Methods Study on 2.5-D Forward and Inversion for Transient ElectromAgnetic with Central Loop [D]. Wuhan: China University of Geosciences, 2001. (in Chinese)

    Google Scholar 

  3. MENG Yong-liang, LUO Yan-zhong. Two dimensional direct finite element algorithm of electrical dipolar source CSAMT method [A]. LUO Yan-zhong. Contributions to the Exploration Geophysics and Geochemistry [C]. Beijing: Geological Press, 1996. 103–114. (in Chinese)

    Google Scholar 

  4. WANG Hua-jun, LUO Yan-zhong. Algorithm of a 2.5 dimensional finite element method for transient electromagnetic with a central loop [J]. Chinese Journal of Geophysics, 2003, 46(6): 855–862. (in Chinese)

    Google Scholar 

  5. LUO Yan-zhong, MENG Yong-liang. Some problems on resistivity modeling for two-dimensional structures by the finite element method [J]. Chinese Journal of Geophysics, 1986, 29(6): 613–621. (in Chinese)

    Google Scholar 

  6. XU Shi-zhe. Finite Element in Geophysics [M]. Beijing: Science Press, 1994. (in Chinese)

    Google Scholar 

  7. DUAN Ben-chun, ZHU Yong-sheng. The application of optimized wave number to direct calculation of point source two-dimensional finite element [J]. Geophysical & Geochemical Exploration, 1994, 18(3): 186–191. (in Chinese)

    Google Scholar 

  8. Leppin M. Electromagnetic modeling of 3-D sources over 2-D inhomogeneities in the time domain [J]. Geophysics, 1992, 57(8): 994–1003.

    Article  Google Scholar 

  9. Unsworth M J, Travis B J, Chave A D. Electromagnetic induction by a finite electric dipole source over a 2-D earth [J]. Geophysics, 1993, 58(2): 198–214.

    Article  Google Scholar 

  10. Everett M E, Edwards R N. Transient marine electromagnetics: The 2.5-D forward problem [J]. Geophys J Int, 1992, 113: 545–561.

    Article  Google Scholar 

  11. Mitsuhata Y, Uchida T, Amano H. 2.5-D inversion of frequency-domain electromagnetic data generated by a grounded-wire source [J]. Geophysics, 2002, 67(6): 1753–1768.

    Article  Google Scholar 

  12. YAN Shu, CHEN Ming-sheng, FU Jun-mei. Direct time-domain numerical analysis of transient electromagnetic fields [J]. Chinese Journal of Geophysics, 2002, 45(2): 275–284. (in Chinese)

    Article  Google Scholar 

  13. LUO Yan-zhong, ZHANG Shen-gye, WANG Weiping. A research on one-dimension forward for aerial electromagnetic method in time domain [J]. Chinese Journal of Geophysics, 2003, 46(5): 719–724. (in Chinese)

    Google Scholar 

  14. Stehfest H. Numerical inversion of Laplace transforms [J]. Communications of the ACM, 1970, 13(1): 47–49.

    Article  Google Scholar 

  15. Crump K S. Numerical inversion of Laplace transforms using a Fourier series approximation [J]. J ACM, 1976, 23(1): 89–96.

    Article  MathSciNet  Google Scholar 

  16. Guptasarma D. Computation of time-domain response of a polarizable ground [J]. Geophysics, 1982, 47(11): 1574–1576.

    Article  Google Scholar 

  17. Anderson W L. Fast Hankel transforms using related and lagged convolutions [J]. ACM Trans on Math Software, 1982, 8(4):344–368.

    Article  Google Scholar 

  18. Knight J H, Raiche A P. Transient electromagnetic calculation using Gaver-Stehfest inverse Laplace transform method [J]. Geophysics, 1982, 47(1): 47–50.

    Article  Google Scholar 

  19. HE Guang-yu, WANG Wei-hong. An application of an accurate and efficient numerical inversion of the Laplace transform in modern well-testing analysis [J]. Acta Petrolei Sinica, 1995, 16(1): 96–104. (in Chinese)

    Google Scholar 

  20. HE Guang-yu, LI Lun. An application of AWG method of numerical inversion of Laplace transform for flow in a fluid finite-conductivity vertical fractures [J]. Petroleum Exploration and Development, 1995, 22(6): 47–50. (in Chinese)

    Google Scholar 

  21. RUAN Bai-yao. An application of Guptasarma algorithm in transient electromagnetic forward [J]. Journal of Guilin Institute of Technology, 1996, 16(2): 167–170. (in Chinese)

    Google Scholar 

  22. LUO Yan-zhong, CHANG Yan-jun. A rapid algorithm for G-S transform [J]. Chinese Journal of Geophysics, 2000, 43(5): 684–690. (in Chinese)

    Article  Google Scholar 

  23. Kaufman A A, Keller G V. Frequency and Transient Soundings [M]. WANG Jian-mou, transl. Beijing: Geological Press, 1987. (in Chinese)

    Google Scholar 

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Authors and Affiliations

  1. School of Info-Physics and Geomatics Engineering, Central South University, 410083, Changsha, China

    Xiong Bin PhD

  2. Institute of Geophysics and Geomatics, China University of Geosciences, 430074, Wuhan, China

    Mao Ya-dan

Authors
  1. Xiong Bin PhD
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  2. Mao Ya-dan
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Correspondence to Xiong Bin PhD.

Additional information

Foundation item: Project (40344022) supported by the National Natural Science Foundation of China

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Xiong, B., Mao, Yd. Some issues on 2.5-D transient electromagnetic forward. J Cent. South Univ. Technol. 12 (Suppl 1), 177–182 (2005). https://doi.org/10.1007/s11771-005-0395-0

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  • DOI: https://doi.org/10.1007/s11771-005-0395-0

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