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Bulletin of the Seismological Society of America; December 1983; v. 73; no. 6A; p. 1655-1671
© 1983 Seismological Society of America
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Nongeometric arrivals due to highly concentrated sources adjacent to plane interfaces

P. F. DALEY and F. HRON

INSTITUTE OF EARTH AND PLANETARY PHYSICS AND DEPARTMENT OF PHYSICS UNIVERSITY OF ALBERTA, EDMONTON, ALBERTA, Canada T6G 2J1

Abstract

A high-frequency approximation for nongeometrical arrivals due to highly concentrated sources adjacent to the interfaces between two different elastic media has been developed following their detection in the real field data by Gutowski et al. (1982). In our approach, the "*" waves are associated with secondary saddle-point contributions of the contour of integration circumventing branch points in the integral representation of transmitted wave field. Our formulas are presented in a simple form suitable for an easy incorporation into any ray synthetic seismogram computation. The range of validity of our approximations is discussed and their accuracy tested by comparing the pertinent ray seismograms with their equivalents produced by the Alekseev-Mikhailenko method. A good match between both sets of seismograms suggests that our high-frequency approximations for "*" waves are well justified as are our formulas derived for the head wave-like arrivals driven by the "*" waves, and seen in the full wave field seismograms and detected in real data as well.




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P. F. DALEY and F. HRON
Reflection of an incident spherical P wave on a free surface (near-vertical incidence)
Bulletin of the Seismological Society of America, June 1, 1987; 77(3): 1057 - 1070.
[Abstract] [PDF]


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