NDLI: A note on two-point paraxial travel times

Content Provider	Springer Nature Link
Author	Červený, Vlastislav
Copyright Year	2013
Abstract	Recently, several expressions for the two-point paraxial travel time in laterally varying, isotropic or anisotropic layered media were derived. The two-point paraxial travel time gives the travel time from point S′ to point R′, both these points being situated close to a known reference ray Ω, along which the ray-propagator matrix was calculated by dynamic ray tracing. The reference ray and the position of points S′ and R′ are specified in Cartesian coordinates. Two such expressions for the two-point paraxial travel time play an important role. The first is based on the 4 × 4 ray propagator matrix, computed by dynamic ray tracing along the reference ray in ray-centred coordinates. The second requires the knowledge of the 6 × 6 ray propagator matrix computed by dynamic ray tracing along the reference ray in Cartesian coordinates. Both expressions were derived fully independently, using different methods, and are expressed in quite different forms. In this paper we prove that the two expressions are fully equivalent and can be transformed into each other.
Starting Page	267
Ending Page	275
Page Count	9
File Format	PDF
ISSN	00393169
Journal	Studia Geophysica et Geodaetica
Volume Number	57
Issue Number	2
e-ISSN	15731626
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-03-22
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	seismic anisotropy theoretical seismology wave propagation paraxial ray methods Geophysics/Geodesy Structural Geology Atmospheric Sciences
Content Type	Text
Resource Type	Article
Subject	Geochemistry and Petrology Geophysics

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