1887
Volume 33 Number 8
  • E-ISSN: 1365-2478

Abstract

A

This paper considers propagation of elastodynamic waves in an imperfectly elastic half‐space. Two different excitation modes are investigated: a buried source of compressional waves and a vertically directed areal load applied to the surface. Numerical integration of the analytical solution of the wave equation allows study of the vertical and horizontal components of displacement and/or particle velocity anywhere in the half‐space. One case of particular interest concerns the examination of particle displacement and velocity at the surface in a circular area above the source. In another application seismograms generated by an explosive buried source are contrasted with seismograms generated by the transient application of a vertically directed load to the free surface. Still another application of considerable practical interest concerns the study of the nongeometrical pS—wave, in particular its characteristics as functions of range and depth. Finally, in the last application the behavior of a rarely observed wave (denoted here by the letter U) is studied in both elastic and visco‐elastic half‐spaces.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1985.tb01355.x
2006-04-27
2024-04-18
Loading full text...

Full text loading...

References

  1. Aki, K. and Richards, P. G.1980, Quantitative Seismology (Theory and Methods), vol. 1, W. H. Freeman and Co., San Francisco .
    [Google Scholar]
  2. Alexeev, A. S. and Mikhailenko, B. G.1980, Solution of dynamic problems of elastic wave propagation in inhomogeneous media by a combination of partial separation of variables and finite difference methods, Journal of Geophysics48, 161–172.
    [Google Scholar]
  3. Cagniard, L.1939a, Reflexion et Refraction des Ondes Seismiques Progressives, Gauthier‐Villars, Paris .
    [Google Scholar]
  4. Cagniard, L.1939b, Reflection and Refraction of Progressive Seismic Waves, Translation with annotations by ( S.E.Elliott ), Phillips Petroleum Company, Research Division, Report 100–9‐54R (1954).
    [Google Scholar]
  5. Chapman, C. H.1972, Lamb's problem and comments on the paper “On leaking modes” by Usha Gupta, Pure and Applied Geophysics94, 233–247.
    [Google Scholar]
  6. Daley, P. F. and Hron, F.1983, High‐frequency approximation of the nongeometric S*arrival, Bulletin of the Seismological Society of America73, 109–123.
    [Google Scholar]
  7. De Hoop, A. T1960Modification of Cagniard's method for solving seismic pulse problems, Applied Science Research B8, 349–356.
    [Google Scholar]
  8. Ewing, W. M., Jardetzky, W. S. and Press, F.1957, Elastic Waves in Layered Media, McGraw‐Hill, New York .
    [Google Scholar]
  9. Fertig, J.1984, Shear waves by an explosive point source: the earth surface as a generator of converted P‐S waves, Geophysical Prospecting32, 1–17.
    [Google Scholar]
  10. Gilbert, F. and Laster, S. J.1962, Excitation and propagation of pulses on an interface, Bulletin of the Seismological Society of America52, 299–319.
    [Google Scholar]
  11. Gilbert, F. and Knopoff, 1961, The directivity problem for a buried line source, Geophysics26, 626–634.
    [Google Scholar]
  12. Gutowski, P. R., Hron, F., Wagner, D. E. and Treitel, S. (1984), S*. Bulletin of the Seismological Society of America74, 61–78.
    [Google Scholar]
  13. Hron, F. and Mikhailenko, B. G.1981, Numerical modeling of nongeometrical effects by the Alexeev‐Mikhailenko method, Bulletin of the Seismological Society of America71, 1011–1029.
    [Google Scholar]
  14. Kennett, B. L. N.1983, Seismic Wave Propagation in Stratified Media, Cambridge University Press, Cambridge .
    [Google Scholar]
  15. Lamb, H.1904, On the propagation of tremors over the surface of an elastic solid, Philosophical Transactions of the Royal Society, London, A203, 1–42.
    [Google Scholar]
  16. Lapwood, E. R.1949, The disturbance due to a line source in a semi‐infinite elastic medium, Philosophical Transactions of the Royal Society, London, A242, 63–100.
    [Google Scholar]
  17. McDonal, F. J., Angona, F. A., Mills, R. L., Sengbush, R. L, Van Nostrand, R. G and White, J. E.1958, Attenuation of shear and compressional waves in Pierre shale, Geophysics23, 421–439.
    [Google Scholar]
  18. Nakano, H.1925, On Rayleigh waves, Japanese Journal of Astronomy and Geophysics2, 233–326.
    [Google Scholar]
  19. Newlands, M.1954, Lamb's problem with internal dissipation: I, Journal of the Acoustical Society of America26, 434–448.
    [Google Scholar]
  20. Rosenbaum, J. H.1974, Synthetic microseismograms—logging in porous formations, Geophysics39, 14–29.
    [Google Scholar]
  21. Sakai, T.1934, On the propagation of tremors over the plane surface of an elastic solid produced by an internal source, Geophysical Magazine (Tokyo)8, 1–71.
    [Google Scholar]
  22. Savage, J. C. and Hasegawa, H. S.1967, Evidence for a linear attenuation mechanism, Geophysics22, 1003–1014.
    [Google Scholar]
  23. White, J. E.1965, Radiation, Transmission and Attenuation, McGraw‐Hill, New York .
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1985.tb01355.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