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Bulletin of the Seismological Society of America; April 1961; v. 51; no. 2; p. 237-246
© 1961 Seismological Society of America
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The effect of the earth's surface on the S wave particle motion

OTTO NUTTLI

INSTITUTE OF TECHNOLOGY, SAINT LOUIS UNIVERSITY,, ST. LOUIS, MISSOURI

Abstract

This paper is concerned with the determination of the particle motion of the earth's surface due to the incidence of a plane S wave of arbitrary polarization and incidence angles. It is assumed that the earth's surface may be represented by a plane surface.

For angles of incidence less than sin-1(b0/a0, where a0 and b0 are the P and S wave velocities at the earth's surface, all three components of ground motion will be in phase, and the resultant motion is linear. For angles of incidence greater than sin-1(b0/a0), all three components of ground motion will in general be out of phase, with the resultant motion describing some three-dimensional figure. The epicentral distance at which the motion changes from linear to non-linear depends upon the wave length of the S wave and the slope of the travel time curve at that distance.




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