Pseudo-bending method for three-dimensional seismic ray tracing in a spherical earth with discontinuities

Autor:	Shutaro Sekine, Kazuki Koketsu
Rok vydání:	1998
Předmět:	Physics Curvilinear coordinates Geophysics Classical mechanics Geochemistry and Petrology Mathematical analysis Perturbation (astronomy) Cone tracing Classification of discontinuities Tracing Spherical Earth Distributed ray tracing
Zdroj:	Geophysical Journal International. 132:339-346
ISSN:	1365-246X 0956-540X
DOI:	10.1046/j.1365-246x.1998.00427.x
Popis:	SUMMARY We present a ‘pseudo-bending’ approach to 3-D ray tracing in a spherical earth with discontinuities. This method is based on a three-point perturbation associated with a first-order approximation, while Snell’s law in curvilinear coordinates is applied at the discontinuities. We demonstrate the computational accuracy and eYciency of the pseudo-bending method in tracing rays for various velocity models by comparing results with analytical solutions and with results from the bending method. The improvement of eYciency is significant, but is reduced as the number of discontinuities increases. Since the bending approach may be computationally unstable in some situations, even though it is exact, the pseudo-bending approach is preferable for automatic calculation of rays.
Databáze:	OpenAIRE
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