28 October 1996 Velocity inversion and high-frequency asymptotics
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Abstract
Differential semblance measures are unique amongst velocity inversion objectives in having well-defined and smooth high frequency asymptotics. A version appropriate for analysis of CMP gathers and layered models is particularly easy to analyze and economical for numerical experimentation. For model-consistent data, the DS objective measures the discrepancy in takeoff slowness of rays, weighted by the energy in the data -- without of course requiring that events be identified or rays traced. Numerical experiments with synthetic data illustrate the theoretical properties.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kidane Araya, Seongjai Kim, Clifford J. Nolan, William Woodbury Symes, "Velocity inversion and high-frequency asymptotics", Proc. SPIE 2822, Mathematical Methods in Geophysical Imaging IV, (28 October 1996); doi: 10.1117/12.255216; https://doi.org/10.1117/12.255216
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