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Authors: Papazachos, C. B.* 
Nolet, G.* 
Title: Non-linear arrival time tomography
Issue Date: Jan-1997
Series/Report no.: 1/40 (1997)
Keywords: non-linear inversion
arrival times
graph theory
3D ray tracing
Subject Classification04. Solid Earth::04.06. Seismology::04.06.07. Tomography and anisotropy 
Abstract: The use of 1D or pseudo- 3D ray tracing techniques in linearized tomographic problems leads to solutions for which it is difficult to assess the true resolution and error distribution. For this reason, we employ a revised 3D bending algorithm (Moser et al., 1992) and show that it can be used efficiently for a non-linear inversion in a stepwise scheme. Initial paths are determined from graph theory in order to avoid local minima in bending. The importance of 3D ray tracing in inversion studies and the limitations of the standard 1D approach are demonstrated through synthetic examples. The speed of the ray tracing and the simple scaling scheme allow for an implementation in large-scale tomographic problems.
Appears in Collections:Annals of Geophysics

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