Skip Navigation

The Quarterly Journal of Mechanics and Applied Mathematics 1968 21(4):487-502; doi:10.1093/qjmam/21.4.487
© 1968 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by HUDSON, J. A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

THE SCATTERING OF ELASTIC WAVES BY GRANULAR MEDIA

J. A. HUDSON

( Department of Applied Mathematics and Theoretical Physics, University of Cambridge )

In this paper it is shown that expressions derived for the first-order displacements of scattered waves from a region where the elastic parameters vary smoothly with position can be applied to scattering by granular media.

Chernov's (9) method of random variations is used and it is shown that different forms of the correlation functions are needed, depending on whether the scattering region is smoothly varying or granular. However, the expressions for the mean square amplitudes of the scattered waves are the same at long wavelengths.

Expressions have been derived for the mean square amplitudes of the scattered waves from a granular region with general anisotropic properties and also for the mean attenuation in the incident wave.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?


This article has been cited by other articles:


Home page
 Bulletin of the Seismological Society of AmericaHome page
Y. NAKAMURA
Seismic energy transmission in the lunar surface zone determined from signals generated by movement of Lunar Rovers
Bulletin of the Seismological Society of America, April 1, 1976; 66(2): 593 - 606.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
B. L. N. KENNETT
Scattering approximations for thick and thin scatterers
Bulletin of the Seismological Society of America, August 1, 1973; 63(4): 1321 - 1325.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
B. L. N. KENNETT
The connection between elastodynamic representation theorems and propagator matrices
Bulletin of the Seismological Society of America, August 1, 1972; 62(4): 973 - 983.
[Abstract] [PDF]


Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.