Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-13T01:29:36.326Z Has data issue: false hasContentIssue false
  • English
  • Français

Long waves generated by ground motion

Published online by Cambridge University Press:  29 March 2006

Montgomery W. Slatkin
Montgomery W. Slatkin
Affiliation:
University of California, Los Alamos Scientific Laboratory Los Alamos, New Mexico 87544 Present address: Department of Biology, University of Chicago, Chicago, Illinois 60637.
Get access Rights & Permissions [Opens in a new window]

Abstract

The initial-value problem for waves generated by ground motion near a shore is solved using linear shallow water theory and an exponential bottom profile. It is found that long waves can be trapped along the coast and travel with the deep water wave speed, (gh)½. The energy in these waves decays with x−½ instead of x−1 so that more energy would be observed on this coast than expected on the basis of deep water wave amplitudes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 1 , 13 July 1971 , pp. 81 - 90
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Carrier, G. F. 1970 Mathematical problems in geophysics. American Math. Society Summer symposium (in the Press).Google Scholar
Greenspan, H. P. 1956 J. Fluid Mech. 1, 574–592.
Hwang, L. 1970 Tetra Tech, Inc. Report. In preparation.
Kajiura, K. 1963 Bull. Earthquake Research Inst. Japan, 41, 535–571.
Lamb, H. 1945 Hydrodynamics. Dover.
Longuet-Higgins, M. S. 1966 J. Fluid Mech. 29, 781–821.
Munk, W., Snodgrass, F. & Gilbert, F. 1964 J. Fluid Mech. 20, 529–554.
Ursell, F. 1951 Proc. Camb. Phil. Soc. 47, 347–358.