Open AccessTransient SH ‐waves in a wedge‐shaped layer
Author(s) -
Pao YihHsing,
Ziegler Franz
Publication year - 1982
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1982.tb04985.x
Subject(s) - wedge (geometry) , wavenumber , transient (computer programming) , half space , geology , wave propagation , physics , geometry , mathematical analysis , optics , mathematics , computer science , operating system
Summary. A generalized ray theory for transient SH ‐waves in a wedge‐shaped layer over an elastic half‐space is developed in this paper. The ray integrals for multiply reflected waves in the layer are derived in terms of two systems of coordinates and two sets of local wavenumbers, one along the free surface and the other along the sloped interface. All local wavenumbers are then transformed to a common wavenumber in all ray integrals which are evaluated by the Cagniard method. Results for the first motion approximation are in agreement with previous investigations.