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 PEKERIS, C. L. Articles by ABRAMOVICI, F. Search for Related Content GeoRef GeoRef Citation

Propagation of an SH-torque pulse in a layered solid

DEPARTMENT OF APPLIED MATHEMATICS THE WEIZMANN INSTITUTE, REHOVOT, Israel

Abstract

In this investigation we determine the motion of the surface of a layered elastic half-space produced by a torque-pulse from a point-source situated inside the layer. The axis of the torque is vertical (SH) and its time variation is represented by a step-function with rounded shoulders. The displacement due to the source approaches a saw-tooth shape at large distances. The displacement of the surface was evaluated exactly by the ray-theory method for ranges r = 100 H and r = 400 H, H denoting the thickness of the layer. The spectrum of the forerunner ground wave and of the Love wave can be interpreted in terms of the normal mode theory. The form of the displacement-curve is found to be sensitive to the width of the pulse at the source. For small the Love wave starts with a strong high frequency amplitude comparable to that of the Airy phase arriving later. This is due to a peak in the excitation function of the first mode. As grows, this peak disappears and the Love wave builds up in the normal fashion to a maximum amplitude at the time of arrival of the Airy phase. For the pulse shape assumed, the normal mode theory predicts a factor of [sin² (/2)]/ in the amplitude, where denotes the frequency. This is verified in the displacement curves obtained.

This article has been cited by other articles:

				F. ABRAMOVICI The exact solution to the problem of an SH pulse in a layered elastic half-space Bulletin of the Seismological Society of America, April 1, 1984; 74(2): 377 - 393. [Abstract] [PDF]

				F. ABRAMOVICI and J. GAL-EZER Seismic waves from finite faults in layered media Bulletin of the Seismological Society of America, December 1, 1979; 69(6): 1693 - 1714. [Abstract] [PDF]

				A. BEN-MENAHEM and M. VERED Extension and interpretation of the Cagniard-Pekeris method for dislocation sources Bulletin of the Seismological Society of America, October 1, 1973; 63(5): 1611 - 1636. [Abstract] [PDF]

				J. FILSON Long period SHn Bulletin of the Seismological Society of America, August 1, 1970; 60(4): 1297 - 1307. [Abstract] [PDF]

				I. M. LONGMAN The application of rational approximations to the solution of problems in theoretical seismology Bulletin of the Seismological Society of America, October 1, 1966; 56(5): 1045 - 1065. [Abstract] [PDF]

				I. M. LONGMAN On the numerical inversion of the Laplace transform Bulletin of the Seismological Society of America, December 1, 1964; 54(6A): 1779 - 1795. [Abstract] [PDF]

				M. MITRA An SH-point source in a half-space with a layer Bulletin of the Seismological Society of America, October 1, 1963; 53(5): 1031 - 1037. [PDF]