1994
DOI: 10.1111/j.1365-246x.1994.tb03293.x
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3-D network ray tracing

Abstract: S U M M A R YAn efficient algorithm of the network shortest path calculation of rays and traveltimes of the first arrivals is described. The traveltime error of such computations is estimated. The rough estimate of t h e relative traveltime error is evaluated locally a t all network nodes prior t o network ray tracing, and is minimized by m e a n s of a proper choice of t h e sizes of forward stars. In this way, t h e structure of the network is adjusted f o r a particular m o d e l and f o r a particular c o … Show more

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Cited by 104 publications
(69 citation statements)
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“…It also loses simplicity and becomes expensive (Zhang and Toksöz, 1998). Comparisons of the finite-difference method and graph theory are found in Klimeš and Kvasnička (1994) and Zhang and Toksöz (1998); they suggest the superiority of ray tracing by the graph theory. Nakanishi and Yamaguchi (1986) applied the idea of the shortest path (in the graph theory) to seismic ray tracing.…”
Section: Introductionmentioning
confidence: 98%
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“…It also loses simplicity and becomes expensive (Zhang and Toksöz, 1998). Comparisons of the finite-difference method and graph theory are found in Klimeš and Kvasnička (1994) and Zhang and Toksöz (1998); they suggest the superiority of ray tracing by the graph theory. Nakanishi and Yamaguchi (1986) applied the idea of the shortest path (in the graph theory) to seismic ray tracing.…”
Section: Introductionmentioning
confidence: 98%
“…The efficiency of the hybrid scheme with the simplex method is now examined. The accuracy required for travel times in tomography is between 1% (Fischer and Lees, 1993) and 0.1% (Klimeš and Kvasnička, 1994). From the relative error in the travel time as a function of block size in Fig.…”
Section: Example 1 Constant Velocity Gradient Modelmentioning
confidence: 99%
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“…However, for highly accurate results, this method requires vast memory and intensive calculation. Recent improvements have been made by Fischer and Lee (1993), Klimes and Kvasnicka (1993), Weber (1995), . In this study, we apply the approach developed by Zhang (1996).…”
Section: Calculating Refraction Travletimes and Raypathsmentioning
confidence: 99%