Eigenstructure analysis for the seismic analytical signal in stacking velocity estimation

Tiago Tavares Leite Barros, Renato Lopes · 2015

Stacking velocity estimation in seismic processing may be benefit by the use of the complex analytic signal obtained by the Hilbert transform combined with eigenstructure-based methods. In this paper we investigate how the Multiple Signal Classifier is affected by the Hilbert transform. We propose for the complex seismic data a model that approximates the arrival delays as a steering vector for velocities close or equal to the stacking velocity. This approximation helps to interpret the higher-resolution of the eigenstructure-based methods combined with the Hilbert transform. We observed that the eigendecomposition of the complex traces presents a larger concentration of energy in the first eigenimage when compared to the decomposition without the Hilbert transform.

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