1887
Volume 20 Number 4
  • E-ISSN: 1365-2478

Abstract

A

The indirect method of interpreting resistivity data is capable only of limited success because of the difficulty of calculating type curves for complex structures. Consequently a need arises for a direct method of interpretation for complex generalized structures.

Such a technique for the direct interpretation of apparent resistivity data, obtained by electrical soundings carried out over two‐dimensional structures, has been developed from an examination of the Hankel transform of such data. The method is based on the observation that the asymptotic expansion of the Hankel transform is critically dependent upon the minimum distance between the measuring device and the surface of discontinuity in resistivity.

The variation in the across strike direction may be mapped by a sequence of depth soundings made parallel to each other and separated in the across strike direction.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1972.tb00670.x
2006-04-27
2024-04-18
Loading full text...

Full text loading...

References

  1. Chan, S. H., 1970: A study on the direct interpretation of resistivity data measured by a Wenner electrode configuration. Geophysical Prospecting18, 215–235.
    [Google Scholar]
  2. Copson, E. T., 1965: Asymptotic Expansions. Cambridge University Press, 120 pp.
    [Google Scholar]
  3. Fritsch, J., Zschau, H. J., 1969: A new semi‐direct method for the interpretation of geoelectrical sounding graphs. Presented at 31st Meeting of the European Association of Exploration Geophysicists, Venice, May 1969.
  4. Gray, A., Matthews, G. B., 1966: A treatise on Bessel Functions and their applications to physics. Second edition prepared by Gray, A. , and MacRobert, T. M. , Dover, New York , 327 pp.
    [Google Scholar]
  5. Griffith, J. L., 1954a: A theorem concerning the asymptotic behaviour of Hankel transforms. J. Roy, Soc. N.S.W.88, 61–65.
    [Google Scholar]
  6. Griffith, J. L., 1954b: On the asymptotic behaviour of Hankel transforms. J. Roy, Soc. N.S.W.88, 71–76.
    [Google Scholar]
  7. Keller, G. V., Frischknecht, F. C., 1966: Electrical methods in geophysical prospecting. Pergamon, Oxford , 517 pp.
    [Google Scholar]
  8. Kunetz, G., Rocroi, J. P., 1970: Traitement automatique des sondages électriques. (Automatic processing of electrical soundings), Geophysical Prospecting18, 157–198.
    [Google Scholar]
  9. Langer, R. E., 1933: An inverse problem in differential equations. Bull. Amer. Math. Soc., ser. 2, 29, 814–820.
    [Google Scholar]
  10. Lee, T. J., 1972: A simple direct interpretation method for an electrical sounding carried out over an inclined interface. Pure and Applied Geophysics (In Press).
  11. Magnus, W., Oberhettinger, F., Soni, R. P., 1966: Formulas and theorems for the special functions of mathematical physics. Springer Verlag, New York , 508 pp.
    [Google Scholar]
  12. Meinardus, H. A.1970: Numerical interpretation of resistivity soundings over horizontal beds. Geophysical Prospecting18, 415–433.
    [Google Scholar]
  13. Paul, M. L., 1968: A note on the direct interpretation of resistivity profiles for a Wenner electrode configuration. Geophysical Prospecting16, 159–162.
    [Google Scholar]
  14. Pekeris, C. L., 1940: Direct method of interpretation in resistivity prospecting. Geophysics5, 31–42.
    [Google Scholar]
  15. Stevenson, A. F., 1934: On the theoretical determination of earth resistance from the surface potential measurements. Physics5, 114–124.
    [Google Scholar]
  16. Sunde, E. O., 1939: Earth conduction effects in transmission systems. Van Nostrand, New York , 373 pp.
    [Google Scholar]
  17. van Nostrand, R. G., Cook, K. L., 1966: Interpretation of resistivity data. U.S. Geol. Surv. Prof. Paper No. 499, 310 pp.
  18. Vozoff, K., 1958: Numerical Resistivity Analysis: Horizontal Layers. Geophysics23, 536–556.
    [Google Scholar]
  19. Vozoff, K., 1960: Numerical Resistivity Interpretation; General Inhomogeneity. Geophysics25, 1184–1194.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1972.tb00670.x
Loading
  • Article Type: Research Article

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