Soil amplification of plane seismic waves

Details Soil amplification of plane seismic waves Soil amplification of plane seismic waves

May 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pepi...22..122b&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 22, Issue 2, p. 122-136.

Physics

4

Scientific paper

Amplitudes of surface particle velocities are calculated when time-harmonic seismic waves of uniform amplitude are incident upon an arbitrary stratified elastic soil layer from the underlying bedrock. Whereas previous workers have mainly treated normally incident S waves, we allow the waves to be of SV, P, or SH types and to have arbitrary angles of incidence. Following standard practice the problem is set up as a matrix differential system, but in such a way that incident SV and P waves may be treated together (the system for SH decoupling). Though complicated, the 4 × 4 SV-P system has considerable structure which is elucidated in Appendices 1 and 2. These results, though not altogether new, are of independent interest, and are gathered together in concise form for reference. The theory for low- and for high-frequency approximations is given. The main results of the work are illustrated by two numerical examples: Model 1 where the soil layer is homogeneous; and Model 2 where the soil layer has a linear velocity profile.

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