Bulletin of the Seismological Society of America
HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
QUICK SEARCH:   [advanced]


     

Bulletin of the Seismological Society of America; October 1962; v. 52; no. 4; p. 807-822
© 1962 Seismological Society of America
This Article
Right arrow Full Text (PDF)
Right arrow References
Right arrow Citation Map
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 Download to citation manager
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by KUO, J. T.
Right arrow Articles by NAFE, J. E.
Right arrow Search for Related Content
GeoRef
Right arrow GeoRef Citation

Period equation for Rayleigh waves in a layer overlying a half space with a sinusoidal interface

JOHN T. KUO and JOHN E. NAFE

LAMONT GEOLOGICAL OBSERVATORY COLUMBIA UNIVERSITY, PALISADES, NEW YORK

Abstract

The problem of the Rayleigh wave propagation in a solid layer overlying a solid half space separated by a sinusoidal interface is investigated. The amplitude of the interface is assumed to be small in comparison to the average thickness of the layer or the wave length of the interface. Either by applying Rayleigh's approximate method or by perturbating the boundary conditions at the sinusoidal interface, plane wave solutions for the equations which satisfy the given boundary conditions are found to form a system of linear equations. These equations may be expressed in a determinant form. The period (or characteristic) equations for the first and second approximation of the wave number k are obtained.

The phase and group velocities of Rayleigh waves in the present case depend upon both frequency and distance. At a given point on the surface, there is a local phase and local group velocity of Rayleigh waves that is independent of the direction of wave propagation.




This article has been cited by other articles:


Home page
 Bulletin of the Seismological Society of AmericaHome page
M. Dravinski
Influence of Cylindrical Harmonic SH Waves on Motion along a Random Interface between Two Elastic Half-Spaces
Bulletin of the Seismological Society of America, August 1, 2009; 99(4): 2582 - 2588.
[Abstract] [Full Text] [PDF]

Home page
 J ENVIRON ENG GEOPHYSHome page
L. Bodet, K. van Wijk, A. Bitri, O. Abraham, P. Cote, G. Grandjean, and D. Leparoux
Surface-wave Inversion Limitations from Laser-Doppler Physical Modeling
Journal of Environmental & Engineering Geophysics, June 1, 2005; 10(2): 151 - 162.
[Abstract] [Full Text] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
S. ASANO
Reflection and refraction of elastic waves at a corrugated interface
Bulletin of the Seismological Society of America, February 1, 1966; 56(1): 201 - 221.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
T. MIKUMO
Crustal structure in central California in relation to the Sierra Nevada
Bulletin of the Seismological Society of America, February 1, 1965; 55(1): 65 - 83.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
H. DERESIEWICZ and B. WOLF
The effect of boundaries on wave propagation in a liquidfilled porous solid: VIII. Reflection of planewaves at an irregular boundary
Bulletin of the Seismological Society of America, October 1, 1964; 54(5A): 1537 - 1561.
[Abstract] [PDF]

Home page
 Bulletin of the Seismological Society of AmericaHome page
T. TAKAHASHI
Transmission of Love waves in a half-space with a surface layer whose thickness varies hyperbolically
Bulletin of the Seismological Society of America, April 1, 1964; 54(2): 611 - 625.
[Abstract] [PDF]


HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS
Copyright © 1962 by the Seismological Society of America.