Finding the amplitudes of migration hyperbolas from the kinematics

Ray Abma and Jon Claerbout

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ABSTRACT

In migration and DMO, the kinematic problem is easier to solve than the amplitude problem. Where a purely analytical approach is normally used to obtain the amplitude of a migration operator, we attempt to obtain amplitude information by combining an assumption of a flat spectrum with the kinematical formulation. This hyperbola whitening is done with a 2-D prediction-error filter. This technique is applied to three hyperbolas: a kinematic-only hyperbola, a amplitude-corrected hyperbola, and an amplitude-corrected hyperbola with a half-derivative filter. The results show that the assumption of a flat spectrum conflicts with the existence of an evanescent zone, creating unresolved difficulties.