1887
ASEG2007 - 19th Geophysical Conference
  • ISSN: 2202-0586
  • E-ISSN:

Abstract

Summary

We have developed a new inversion algorithm to successively determine the depth (), polarization angle, and the electric dipole moment of a buried structure from the self-potential (SP) data measured along profile. By utilizing the entire values of the SP profile, the problem of depth determination is formulated into the problem of solving a non-linear equation of the form () = 0. Using the estimated depth and by applying the leastsquares method, the polarization angle is then determined. Finally, having known the depth and polarization angle, the electric dipole moment is determined in a least-squares sense. The proposed SP inverse algorithm has been derived for semi-infinite vertical cylinder, infinitely long horizontal cylinder, and sphere anomalous bodies. The method is tested on synthetic examples with and without random errors, and applied to a field example from Germany for mineral exploration. The estimated depths and other SP model parameters are found in good agreement with the known actual values. The results obtained will be presented and discussed in the conference.

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/content/journals/10.1071/ASEG2007ab090
2007-12-01
2026-01-23
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References

  1. Abdelrahman, E.M., Ammar, A.A., Hassanein, H.I., and Hafez, M.A., 1998, Derivative analysis of SP anomalies: Geophysics, 63, 890-897.
  2. Abdelrahman, E.M., Ammar, A.A., Sharafeldin, S.M., and Hassanein, H.I., 1997a, Shape and depth solutions from numerical horizontal self-potential gradients: Applied Geophysics, 36, 31-43.
  3. Abdelrahman, E.M., El-Araby, H.M., Hassanein, A.G., and Hafez, M.A., 2003, New methods for shape and depth determinations from SP data: Geophysics, 68, 1202-1210.
  4. Abdelrahman, E.M., El-Araby, T.M., Ammar, A. A., and Hassanein, H. I., 1997b, A least-squares approach to shape determination from self-potential anomalies: Pure and Applied Geophysics, 150, 121-128.
  5. Abdelrahman, E.M., Essa, K.S., Abo-Ezz, E. R., and Soliman, K. S., 2006, Self-potential data interpretation using standard deviations of depths computed from moving-average residual anomalies: Geophysical Prospecting, 54, 409–423.
  6. Abdelrahman, E.M. and Sharafeldin, S.M., 1997, A least squares approach to depth determination from residual selfpotential anomalies caused by horizontal cylinders and spheres: Geophysics, 62, 44-48.
  7. Babu, R.H.V. and Rao, A.D. Rao, 1988, A rapid graphical method for the interpretation of the self-potential anomaly over a two-dimensional inclined sheet of finite depth extent: Geophysics, 53, 1126-1128.
  8. Banerjee, B., 1971, Quantitative interpretation of selfpotential anomalies of some specific geometric bodies: Pure and Applied Geophysics, 90, 138-152.
  9. Bhattacharya, B.B. and Roy, N., 1981, A note on the use of nomograms for self-potential anomalies: Geophysical Prospecting, 29, 102 –107.
  10. De Witte, L., 1948, A new method of interpretation of selfpotential field data: Geophysics, 13, 600-608.
  11. Fitterman, D.V., 1979, Calculations of self-potential anomalies near vertical contacts: Geophysics, 44, 195-205.
  12. Heiland, C.A., 1940, Geophysical exploration: Hanfner Publ. Co.
  13. H„mmann, M., Maurer, H.R., Green, A.G., and Horstmeyer, H., 1997, Self-potential image reconstruction: capabilities and limitations: Journal of Environmental and Engineering Geophysics, 2, 21-35.
  14. Jardani, A., Dupont, J.P., and Revil, A., 2006, Self-potential signals associated with preferential groundwater flow pathways in sinkholes: Journal of Geophysical Research, 11, B09204, doi:10.1029/2005JB004231.
  15. Meiser, P., 1962, A method of quantitative interpretation of self-potential measurement: Geophysical Prospecting, 10, 203-218.
  16. Minsley, B.J., Sogade, J., Briggs, V., Lambert, M., Reppert, P., Coles, D., Morgan, F., Rossabi, J., Riha, B., and Shi, W., 2003, 3D Inversion of a self-potential dataset for contaminant detection and mapping: American Geophysical Union, Fall Meeting, Abstract # H31B-0462.
  17. Minsley, B.J., Sogade, J., Vichabian, Y., and Morgan, F.D., 2005, 3D self-potential inversion for monitoring DNAPL contaminant distributions: American Geophysical Union, Spring Meeting, Abstract # NS44A-02.
  18. Murthy, S.B.V. and Haricharan, P., 1985, Nomogram for the spontaneous potential profile over sheet-like and cylindrical two-dimensional sources: Geophysics, 50, 1127-1135.
  19. Press, W.H., Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T., 1986, Numerical Recipes - The Art of Scientific Computing: Cambridge University Press.
  20. Rao, A.D. and Babu, R.H.V., 1983, Quantitative interpretation of self potential anomalies due to two-dimensional sheet-like bodies: Geophysics, 48, 1659-1664.
  21. Shi, W., and Morgan, F.D., 1996, Non-uniqueness in selfpotential inversion: 66th Annual International Meeting, SEG, Expanded Abstracts, 950-953.
  22. Stanley, J.M., 1977, Simplified magnetic interpretation of the geologic contact and thin dike: Geophysics, 42, 1236–1240.
  23. Yungul, S., 1950, Interpretation of spontaneous polarization anomalies caused by spherical ore bodies: Geophysics, 15, 237-246.
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  • Article Type: Research Article
Keyword(s): least-squares inversion; model arameters estimation; self-potential
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