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f Propagation of Scalar Waves in Layered Media
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 3rd International Congress of the Brazilian Geophysical Society, Nov 1993, cp-324-00014
Abstract
In this paper, we present a computational im-, plementation of the exact method described by Tygel and Hubra.l (1987) for the determination of the acoustic response of a horizontally strlLtified medium due to a point source excitation. We also develop and implement simplified asymptotic approximations for the relevant events that occur in the propagation. These represents the contributions known in the literature as generalized rays and are, in this paper, obtained in a very natural way without the need of counting individual rays. The expressions describe body waves, as well as lateral waves. The exact and asymptoptic solutions to the problem are compared and discussed. The exact solution is shown to accurately describe the whole propagation. The asymptotic solution is shown to agree well with the exact one in the expected range of validity.