1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 11, Issue 1
  5. Article
Volume 11 Number 1
  • E-ISSN: 1365-2478

Abstract

A

Richards (1961) and several others have shown that wide angle reflections may attain large amplitudes. This note extends the plane wave calculations of Richards to include the effect of the phase changes which occur at angles greater than critical. On seismic pulses this introduces a time lead of up to one half period and alters peak‐to‐peak amplitudes by up to 15‐20 %.

It is pointed out that the plane wave reflection coefficient is not applicable at angles very close to critical where the true reflection coefficient is reduced by a factor depending on (/λ) ¼ In ultrasonic experiments this factor reduced the reflection coefficient by between ½ and ⅓.

Neither does the plane wave coefficient apply at grazing incidence, when it has to be reduced by a factor depending on (/λ)1‐0.

Graphs are given of the amplitudes of wide angle reflections and head waves for two cases and it is concluded that, except for shallow refractors and angles close to critical, the reflection is always significantly greater than the head wave.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1963.tb02025.x
2006-04-27
2024-04-26

  • From This Site

    /content/journals/10.1111/j.1365-2478.1963.tb02025.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Bather, J. A., 1959, Elastic waves in two semi‐infinite solid media separated by a plane boundary: Internal Report, BP Research Centre, Sunbury‐on‐Thames, England .
    [Google Scholar]
  2. Bortfeldt, R., 1962, Exact solution of the reflection and refraction of arbitrary spherical compressional waves at liquid‐liquid interfaces and at solid‐solid interfaces with equal shear velocities and equal densities: Geoph. Pros., 10, 35–67.
    [Google Scholar]
  3. Brekhovskikh, L. M., 1960, Waves in layered media, Academic Press, New York , page 286, eqn 22–19.
    [Google Scholar]
  4. Epinat'eva, A. M., 1957, Reflected waves produced at angles of incidence greater than critical: Bull. Ac. Sc. USSR, Geophysics series No. 5; English translation by AGU.
    [Google Scholar]
  5. Friedlander, F. G., 1948, On the total reflection of plane waves, Qtly. Journ. Mech. and App. Maths. 1, 4, 376–384.
    [Google Scholar]
  6. Keilis‐Borok, V. I., 1960, Investigation of the mechanism of earthquakes, being Volume 4 of Soviet research in geophysics in English translation by AGU.
  7. Koefoed, O., 1962, Reflection and transmission coefficients for plane longitudinal incident waves: Geoph. Prosp., 10, 3, 304–351.
    [Google Scholar]
  8. Malinovskaya, J. N., 1957, On the methodology of calculating the dynamic characteristics of seismic waves, Bull. Ac. Sc. USSR, Geophysics series, No. 4, English translation by AGU.
    [Google Scholar]
  9. McCamy, K., Meyer, R., and Smith, T. J., 1962, Generally applicable solutions of Zoeppritz' amplitude equations: Bull. Seism. Soc. Am., 52, 4, 923–955.
    [Google Scholar]
  10. Pekeris, C. L., 1948, Theory of propagation of explosive sound in shallow water, equation A 33 in Memoir 27, Geol. Soc. Am.
  11. Pekeris, C. L. and Longman, I. M., 1958, Ray theory solution of the problem of propagation of explosive sound in a layered liquid: J. Ac. Soc. Am., 30, 323–328.
    [Google Scholar]
  12. Richards, T. C., 1960, Wide‐angle reflections and their application to finding limestone structures in the foothills of Western Canada. Geophysics, 25, 385–407.
    [Google Scholar]
  13. Richards, T. C, 1961, Motion of the ground on arrival of reflected longitudinal and transverse waves at wide‐angle reflection distances. Geophysics, 26, 277–298.
    [Google Scholar]
  14. Zvolinski, N. V., 1958, Reflected and head waves arising at a plane interface of two elastic media – II, Equation 21. Bull. Ac. Sc. USSR. Geophysics series No. 1, 1–7, English translation by AGU.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1963.tb02025.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