Wave-equation inversion prestack Hessian

Alejandro A. Valenciano and Biondo Biondi

valencia@sep.stanford.edu, biondo@sep.stanford.edu

ABSTRACT

The angle-domain Hessian can be computed from the subsurface-offset domain Hessian by an offset-to-angle transformation. An understanding of how the seismic energy is distributed with reflection angle can be gained by explicitly computing the angle-domain Hessian. The Hessian computation in a model with a single reflector under a Gaussian velocity anomaly (creating uneven illumination) illustrates the theory.