HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Full Text (PDF) References Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via HighWire Citing Articles via Google Scholar Google Scholar Articles by HADDON, R. A. W. Search for Related Content GeoRef GeoRef Citation

Exact evaluation of the response of a layered elastic medium to an explosive point source using leaking modes

ENERGY, MINES AND RESOURCES CANADA GEOLOGICAL SURVEY OF CANADA GEOPHYSICS DIVISION 1 OBSERVATORY CRESCENT, OTTAWA, ONTARIO, Canada, K1A 0Y3

Abstract

A simple and rigorous theory of leaking modes for liquid layer or SH elastic wave propagation problems is presented. By taking the frequency and wave-number k simultaneously as complex variables and choosing appropriate paths of integration in the -plane, the integration with respect to k is performed exactly using Cauchy residue theory. The remaining integration with respect to is then carried out by use of the Fast Fourier transform. The method is simply to apply, accurate, and computationally efficient. There are no spurious arrivals, and provided the number of points in the Fast Fourier transform can be taken sufficiently large, there are no restrictions on distance.

The theoretical results established in the paper show conclusively that complete seismograms, including all possible body waves, can be expressed simply as a superposition of modes. No branch line integrals are required, contrary to the widespread supposition in the literature.

The application of the theory is illustrated by producing complete theoretical seismograms for a model consisting of six liquid layers.

This article has been cited by other articles:

				J. Park and E. Kausel Response of Layered Half-Space Obtained Directly in the Time Domain, Part I: SH Sources Bulletin of the Seismological Society of America, October 1, 2006; 96(5): 1795 - 1809. [Abstract] [Full Text] [PDF]

				V. F. CORMIER, B. MANDAL, and D. HARVEY Incorporation of velocity gradients in the synthesis of complete seismograms by the locked mode method Bulletin of the Seismological Society of America, June 1, 1991; 81(3): 897 - 930. [Abstract] [PDF]

				R. A. W. HADDON Response of an oceanic wave guide to an explosive point source using leaking modes Bulletin of the Seismological Society of America, October 1, 1987; 77(5): 1804 - 1822. [Abstract] [PDF]