The Pre-Stack Migration operators
, by Yves Dezard
We describe different schemes for the pre-stack migration of profiles in (S-G) space and for an inhomogeneous medium. The central part of the downward continuation analysis is the description of each method including derivation, dispersion relation, stability, and applicable numerical algorithms. In this paper, we present two downward continuation operators. Several analytical and numerical examples are given to illustrate them. The Raphson-Newton and Muir's expansion of the square-root operator are compared for relative error phase velocity and error group velocity. Since the pre-stack migration of profiles in the Cartesian coordinate system has been analyzed in detain by Jacobs (SEP-34), we will restrict ourselves to the essentials.
STANFORD