Summary
SH-waves emitted by a line source located in the surface-layer are subject to successive reflections and transmissions between the two dipping layers, considered on top of a half space, before they reach an observational point at the free surface. The ray sorting technique by arrival time of body- and head waves renders individual time functions which by superposition form a synthetic seismogram. Local slowness and phase functions are expressed in a matrix multiplicative form which clearly exhibits the concept of apparent source ray. Application of the Cagniard mapping and numerical integration by Gaussian quadrature concludes the evaluation of the generalized ray-integrals. Synthetic seismograms are evaluated under the assumptions of a pulsed source time function of triangular shape with equal rise- and fall time.
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On leave from Hunan University, China
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Ziegler, F., Pao, Y.H. & Wang, Y.S. Generalized ray-integral representation of transient SH-waves in a multiply layered half-space with dipping structure. Acta Mechanica 56, 1–15 (1985). https://doi.org/10.1007/BF01306020
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DOI: https://doi.org/10.1007/BF01306020