High-resolution velocity spectra using eigenstructure methods , by Biondo Biondi and Clement Kostov

Stacking velocity analysis provides optimal estimates for the parameters of a few, well separated reflections in additive white noise. To resolve close, interfering reflections, we adapt a theory developed originally for radar and sonar applications to the particular reflection seismics experiment. In seismic data the wavefronts are wide-band and the curvature of the wavefronts is significant across the receivers array. We introduce a family of estimators for the wavefront parameters based on the eigenstructure of the data covariance matrix. The traditional stacking method can be related to the new high-resolution estimators and the superiority of the latter is explained with a simple geometric construction. A field-data example shows that the high resolution estimators are particularly attractive for local spectra estimation where short arrays are considered. Several realistic synthetic examples illustrate the new method and show its superiority in estimating stacking velocity spectra.


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