1887
Volume 47, Issue 4
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

[

A method to determine the depth to two superimposed sources from a self-potential anomaly profile has been developed. The method uses a relationship between the depths to the two superimposed structures determined from a combination of observations at symmetric points with respect to the coordinate of the sources’ centre.

,

In this paper, we develop a method to determine the depth to two superimposed sources from a self-potential anomaly profile. The method is based on finding a relationship between the depths to the two superimposed structures from a combination of observations at symmetric points with respect to the coordinate of the sources’ centre. Formulae have been derived for two classes of geometric sources: spheres and cylinders. Equations are also formulated to estimate the other model parameters, including the polarisation angle and electric dipole moment of both structures. The proposed method is tested both on synthetic data with and without random noise, as well as real self-potential data from a set of field data collected in Turkey. In all cases, the model parameters obtained are in good agreement with the actual ones.

]
Loading

Article metrics loading...

/content/journals/10.1071/EG15012
2016-12-01
2026-01-18
Loading full text...

Full text loading...

References

  1. Abdelrahman E. M. Sharafeldin S. M. 1997 A least squares approach to depth determination from residual self-potential anomalies caused by horizontal cylinders and spheres: Geophysics 62 44 48 10.1190/1.1444143
    https://doi.org/10.1190/1.1444143 [Google Scholar]
  2. Abdelrahman E. M. Ammar A. A. Sharafeldin S. M. Hassanein H. I. 1997 Shape and depth solutions from numerical horizontal self-potential gradients: Journal of Applied Geophysics 37 31 43 10.1016/S0926‑9851(96)00058‑4
    https://doi.org/10.1016/S0926-9851(96)00058-4 [Google Scholar]
  3. Abdelrahman E. M. El-Araby H. M. El-Araby T. M. Essa K. S. 2002 A new approach to depth determination from magnetic anomalies: Geophysics 67 1524 1531 10.1190/1.1512748
    https://doi.org/10.1190/1.1512748 [Google Scholar]
  4. Abdelrahman E. M. Essa K. S. Abo-Ezz E. R. Soliman K. S. 2006 Self-potential data interpretation using standard deviations of depths computed from moving-average residual anomalies: Geophysical Prospecting 54 409 423 10.1111/j.1365‑2478.2006.00541.x
    https://doi.org/10.1111/j.1365-2478.2006.00541.x [Google Scholar]
  5. Abdelrahman E. M. Essa K. S. Abo-Ezz E. R. Sultan M. Sauck W. A. Gharieb A. G. 2008 New least-square algorithm for model parameters estimation using self-potential anomalies: Computers & Geosciences 34 1569 1576 10.1016/j.cageo.2008.02.021
    https://doi.org/10.1016/j.cageo.2008.02.021 [Google Scholar]
  6. Abdelrahman E. M. El-Araby T. M. Essa K. S. 2009 Shape and depth determinations from second moving average residual self-potential anomalies: Journal of Geophysics and Engineering 6 43 52 10.1088/1742‑2132/6/1/005
    https://doi.org/10.1088/1742-2132/6/1/005 [Google Scholar]
  7. Anderson, L. A., 1984, Self-potential investigations in the Puhimau thermal area, Kilauea Volcano, Hawaii: SEG Technical Program Expanded Abstracts, 3, 84–86.
  8. Banerjee B. 1971 Quantitative interpretation of self-potential anomalies of some specific geometric bodies: Pure and Applied Geophysics 90 138 152 10.1007/BF00875518
    https://doi.org/10.1007/BF00875518 [Google Scholar]
  9. Bhattacharya B. B. Roy N. 1981 A note on the use of nomograms for self-potential anomalies: Geophysical Prospecting 29 102 107 10.1111/j.1365‑2478.1981.tb01013.x
    https://doi.org/10.1111/j.1365-2478.1981.tb01013.x [Google Scholar]
  10. Corwin R. F. Hoover D. B. 1979 The self-potential method in geothermal exploration: Geophysics 44 226 245 10.1190/1.1440964
    https://doi.org/10.1190/1.1440964 [Google Scholar]
  11. Demidovich, B. P., and Maron, I. A., 1973, Computational mathematics: Mir Publishers.
  12. El-Araby H. M. 2004 A new method for complete quantitative interpretation of self-potential anomalies: Journal of Applied Geophysics 55 211 224 10.1016/j.jappgeo.2003.11.002
    https://doi.org/10.1016/j.jappgeo.2003.11.002 [Google Scholar]
  13. Fitterman D. V. 1979 Calculations of self-potential anomalies near vertical contacts: Geophysics 44 195 205 10.1190/1.1440961
    https://doi.org/10.1190/1.1440961 [Google Scholar]
  14. Markiewicz, R. D., Davenport, G. C., and Randall, J. A., 1984, The use of self-potential surveys in geotechnical investigations: SEG Technical Program Expanded Abstracts, 3, 164–165.
  15. Schiavone, D., and Quarto, R., 1992, Cavities detection using the self-potential method: 54th Meeting of the European Association of Exploration Geophysicists, Abstracts, 362–363.
  16. Spencer, E. W., 1977, Introduction to structure of the earth: McGraw-Hill, Inc.
  17. Stanley J. M. 1977 Simplified magnetic interpretation of the geologic contact and thin dike: Geophysics 42 1236 1240 10.1190/1.1440788
    https://doi.org/10.1190/1.1440788 [Google Scholar]
  18. Weiss L. E. 1959 Geometry of superimposed folding: Geological Society of America Bulletin 70 91 106 10.1130/0016‑7606(1959)70[91:GOSF]2.0.CO;2
    https://doi.org/10.1130/0016-7606(1959)70[91:GOSF]2.0.CO;2 [Google Scholar]
  19. Yüngül S. 1950 Interpretation of spontaneous polarization anomalies caused by spherical ore bodies: Geophysics 15 237 246 10.1190/1.1437597
    https://doi.org/10.1190/1.1437597 [Google Scholar]
/content/journals/10.1071/EG15012
Loading
/content/journals/10.1071/EG15012
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error