Velocity inversion and high-frequency asymptotics

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.

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