Abstract

Summary I define Gardner continuation as a continuous seismic-data transformation, described by a special linear partial differential equation. Under the usual approximations of prestack time migration, Gardner continuation transforms prestack seismic reflection data to remove both the dependence of moveout velocities on dip and the non-hyperbolic dependence of reflection moveouts on reflector curvature. This provides a useful reversible preconditioner of seismic data for different data analysis tasks, including time migration, data reconstruction, and multiple attenuation.

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