1887
Volume 28 Number 6
  • E-ISSN: 1365-2478

Abstract

A

In this paper a theorem is demonstrated which allows—after the introduction of a suitable dipole kernel function or dipole resistivity transform function—to write the apparent resistivity function as an Hankel transformable integral expression.

As a practical application of the theorem a procedure of quantitative interpretation of dipole soundings is suggested in which the dipole resistivity transform function obtained after inversion of the original dipole apparent resistivity data is used to control the goodness of the set of layering parameters which have been derived with our previous method of transformation of dipole sounding curves into equivalent Schlumberger diagrams.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1980.tb01271.x
2006-04-27
2024-04-27
Loading full text...

Full text loading...

References

  1. Alpin, L.M.1966, The theory of dipole soundings, in dipole methods for measuring earth conductivity, Plenum Press, New York , 1–60.
    [Google Scholar]
  2. Das, U.C. and Ghosh, D.P.1973, A study on the direct interpretation of dipole soundings resistivity measurements over layered earth, Geophysical Prospecting22, 379–400.
    [Google Scholar]
  3. Ghosh, D.P.1971, The application of linear filter theory to the direct interpretation of geoelectrical resistivity sounding measurements, Geophysical Prospecting19, 192–217.
    [Google Scholar]
  4. Gray, A. and Mathews, G.B.1966, A treatise on Bessel functions and their applications to physics, Dover Publ. Inc., New York .
    [Google Scholar]
  5. Koefoed, O.1968, The application of the Kernel function in interpretating geoelectrical resistivity measurements. Geoexploration Monographs, Series 1, No. 2, Gebrüder Borntraeger, Berlin – Stuttgart .
    [Google Scholar]
  6. Koefoed, O.1968, The application of the Kernel function in interpreting geoelectrical function in geoelectrical sounding, Geophysical Prospecting18, 564–570.
    [Google Scholar]
  7. Patella, D.1974, On the transformation of dipole to Schlumberger sounding curves, Geophysical Prospecting22, 315–329.
    [Google Scholar]
  8. Patella, D.1975, A numerical computation procedure for the direct interpretation of geoelectrical soundings, Geophysical Prospecting23, 335–362.
    [Google Scholar]
  9. Patella, D. and Schiavone, D.1976, The quantitative analysis of frequency‐domain induced polarization soundings over horizontal beds, Geophysical Prospecting24, 334–343.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1980.tb01271.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