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Volume 29 Number 1
  • E-ISSN: 1365-2478

Abstract

A

The objective of this study is to generate the separation‐distance‐domain (‐domain) transformation of the theoretically calculated wave number domain (‐domain) electromagnetic induction field component (, ) of a stratified medium and to search for interpretive information which has been absent in the previously achieved numerical solutions of the problem.

The ‐domain kernel (, ) function defining the induction field appears to adequately reflect the layering and electrical properties of the medium if it is expressed as a function of the frequency if the source‐receiver separation is small with respect to the thickness of the first layer. However, exact values of the conductivity cannot be distinguished from those of the neighboring values unless a resistive basement layer is present. This feature is the result of the truncation in series representation of the kernel function (, ). However, this truncation is regarded as significant in the case of a conductive first layer. In ‐domain static‐zone studies, a conductive first layer slightly influences its ‐domain correspondent.

Although the computational cost of obtaining the kernel (, ) by evaluation of the convolution in a cylindrical coordinate system is high, this semi‐analytic solution is still superior to those based on the asymptotic assumptions.

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2006-04-27
2024-04-28

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References

  1. Bhattacharyya, B.K.1955, Electromagnetic induction in a two‐layer earth, Journal of Geophysical Research60, 279–288.
    [Google Scholar]
  2. Bracewell, R.1965, The Fourier transform and its applications, McGraw‐Hill Inc., New York , 381 p.
     [Google Scholar]
  3. Daniels, J.J.1974, Interpretation of electromagnetic sounding using a layered earth model, Ph.D. Thesis, Colorado School of Mines T 1627, 96 p.
  4. Ercan, A.1975, Quasi‐analytic convolution solution of electromagnetic field, Ph.D. Thesis, Colorado School of Mines T 1728, 178 p.
  5. Erdélyi, A. (Editor) 1954, Higher transcendental functions, McGraw‐Hill Book Corp., New York , 306 p.
     [Google Scholar]
  6. Frischknecht, F.C.1967, Field about an oscillating magnetic dipole over a two‐layer earth, and application to ground and airborne electromagnetic surveys, Quarterly Journal of the Colorado School of Mines62, no. 1, 326 p.
     [Google Scholar]
  7. Isaev, L.G.A., Kaufman, A.A. and Rabinovich, B.I.1971, The late stage in short‐separation transient sounding, Geology and Geophysics1, 119–123.
    [Google Scholar]
  8. Keller, G.V.1968, Electrical prospecting for oil, Quarterly Journal of Colorado School of Mines63, no. 2.
    [Google Scholar]
  9. Keller, G. and Frischknecht, F.C.1960, Electrical resistivity studies on the Athabasca Glacier, Alberta , Canada , National Bureau of Standards Journal of Research64D, 439–448.
    [Google Scholar]
  10. Keller, G. and Frischknecht, F.C.1966, Electrical methods in geophysical prospecting, Pergamon Press, New York , 517 p.
     [Google Scholar]
  11. Kozulin, Yu.N.1960, On the theory electromagnetic frequency sounding of multilayered structures; U.S.S.R. Academy Science Bulletin, Geophysics Series8, 798–803.
    [Google Scholar]
  12. Luke, Y.L.1962, Integrals of Bessel functions, McGraw‐Hill Book Co. Inc., New York , 419 p.
     [Google Scholar]
  13. Slichter, L.B. and Knopoff, L.1959, Field of an alternating magnetic dipole on the surface of a layered earth, Geophysics Series7, 672–677.
    [Google Scholar]
  14. Tikhonov, A.N., Shakhsuvarov, D.M. and Rybakova, E.V.1959, The resolution power of the electromagnetic sounding method in the presence of nonconductive strata, Geophysics Series7, 1455–1459.
    [Google Scholar]
  15. Wait, J.R.1951, The magnetic dipole over the horizontally stratified earth, Canadian Journal of Physics29, 577–592.
    [Google Scholar]
  16. Wait, J.R.1956, Mutual electromagnetic coupling of loops over a homogeneous ground—an additional note, Geophysics21, 479–592.
    [Google Scholar]
  17. Wait, J.R.1962, A note on the electromagnetic response of a stratified earth, Geophysics27, 382–385.
    [Google Scholar]
  18. Wait, J.R.1966, Fields of a horizontal dipole over a stratified anisotropic half space, IEEE TransactionsAP‐14, 790–792.
    [Google Scholar]
  19. Wait, J.R.1970, Electromagnetic waves in stratified media, Pergamon Press, New York , 608 p.
     [Google Scholar]
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