2017-06-12
Adaptive Sharp Boundary Inversion for Transient Electromagnetic Data
By
Progress In Electromagnetics Research M, Vol. 57, 129-138, 2017
Abstract
An adaptive sharp boundary inversion scheme is developed to improve resolution with feasibility for transient electromagnetic (TEM) data inversion. By using weighted minimum gradient support (WMGS) constraint, this method focuses the resistivity change areas on layer boundary locations. Prior information describing roughness can be added into the constraint to improve resolution. Furthermore, even though no prior information about layer boundaries is available, it can still reconstruct models with geo-electrical interfaces. Synthetic models prove that this method has a better performance in presenting layer boundaries than smooth-model inversion. Field data of a TEM test line are inverted using this method, which makes the basement layer visualized easily.
Citation
Rui Guo, Xin Wu, Lihua Liu, Jutao Li, Pan Xiao, and Guangyou Fang, "Adaptive Sharp Boundary Inversion for Transient Electromagnetic Data," Progress In Electromagnetics Research M, Vol. 57, 129-138, 2017.
doi:10.2528/PIERM17030803
References

1. He, Z., Z. Zhao, H. Liu, and J. Qin, "TFEM for oil detection: Case studies," The Leading Edge, Vol. 31, No. 5, 518-521, 2012.
doi:10.1190/tle31050518.1        Google Scholar

2. Fitterman, D. V. and M. T. Stewart, "Transient electromagnetic sounding for groundwater," Geophysics, Vol. 51, No. 4, 995-1005, 1986.
doi:10.1190/1.1442158        Google Scholar

3. Tantum, S. L. and L. M. Collins, "A comparison of algorithms for subsurface target detection and identification using time-domain electromagnetic induction data," IEEE Transactions on Geoscience and Remote Sensing, Vol. 39, No. 6, 1299-1306, 2001.
doi:10.1109/36.927453        Google Scholar

4. Nabighian, M. and J. Corbett, "Electromagnetic methods in applied geophysics, Vol. 1: Theory," SEG, 1988.        Google Scholar

5. Rodi, W. and R. L. Mackie, "Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion," Geophysics, Vol. 66, No. 1, 174-187, 2001.
doi:10.1190/1.1444893        Google Scholar

6. Tikhonov, A. N. and V. I. Arsenin, "Solutions of ill-posed problems," Mathematics of Computation, Vol. 14, Winston, Washington, DC, 1977.        Google Scholar

7. Constable, S. C., R. L. Parker, and C. G. Constable, "Occam’s inversion: A practical algorithm for generating smooth models from electromagnetic sounding data," Geophysics, Vol. 52, No. 3, 289-300, 1987.
doi:10.1190/1.1442303        Google Scholar

8. Qian, W., T. J. Gamey, J. S. Holladay, R. Lewis, and D. Abernathy, "Inversion of airborne electromagnetic data using an Occam technique to resolve a variable number of layers," Symposium on the Application of Geophysics to Engineering and Environmental Problems, 735-743, Society of Exploration Geophysicists, January 1997.        Google Scholar

9. Vallée, M. A. and R. S. Smith, "Application of Occam’s inversion to airborne time-domain electromagnetics," The Leading Edge, Vol. 28, No. 3, 284-287, 2009.
doi:10.1190/1.3104071        Google Scholar

10. Smith, J. T. and J. R. Booker, "Rapid inversion of two- and three-dimensional magnetotelluric data," Geophys. Res., 3905-3922, 1991.
doi:10.1029/90JB02416        Google Scholar

11. Marquardt, D. W., "An algorithm for least-squares estimation of nonlinear parameters," Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 2, 431-441, 1963.
doi:10.1137/0111030        Google Scholar

12. Auken, E. and A. V. Christiansen, "Layered and laterally constrained 2D inversion of resistivity data," Geophysics, Vol. 69, No. 3, 752-761, 2004.
doi:10.1190/1.1759461        Google Scholar

13. Portniaguine, O. and M. S. Zhdanov, "Focusing geophysical inversion images," Geophysics, Vol. 64, No. 3, 874-887, 1999.
doi:10.1190/1.1444596        Google Scholar

14. Zhdanov, M. S., R. Ellis, and S. Mukherjee, "Three-dimensional regularized focusing inversion of gravity gradient tensor component data," Geophysics, Vol. 69, No. 4, 925-937, 2004.
doi:10.1190/1.1778236        Google Scholar

15. Loke, M. H., I. Acworth, and T. Dahlin, "A comparison of smooth and blocky inversion methods in 2D electrical imaging surveys," Exploration Geophysics, Vol. 34, No. 3, 182-187, 2003.
doi:10.1071/EG03182        Google Scholar

16. Wu, X., G. Q. Xue, W. Y. Chen, et al. "Contrast test of the transient electromagnetic system (CASTEM) at the Dawangzhuang iron mine in Anhui province," Chinese J. Geophys., Vol. 59, No. 12, 4448-4456, 2016, doi: 10.6038/cjg20161207.        Google Scholar

17. Anderson, W. L., "A hybrid fast Hankel transform algorithm for electromagnetic modeling," Geophysics, Vol. 54, No. 2, 263-266, 1989.
doi:10.1190/1.1442650        Google Scholar

18. Johansen, H. K. and K. Sørensen, "Fast Hankel transforms," Geophysical Prospecting, Vol. 27, No. 4, 876-901, 1979.
doi:10.1111/j.1365-2478.1979.tb01005.x        Google Scholar

19. Cakoni, F. and D. Colton, Qualitative Methods in Inverse Scattering Theory: An Introduction, Springer Science & Business Media, 2005.

20. Hansen, P. C., "Analysis of discrete ill-posed problems by means of the L-curve," SIAM Review, Vol. 34, No. 4, 561-580, 1992.
doi:10.1137/1034115        Google Scholar