Velocity continuation and the anatomy of residual prestack time migration |

The dynamic properties of zero-offset velocity continuation are precisely equivalent to those of conventional post-stack migration methods such as Kirchhoff migration. Moreover, the Kirchhoff migration operator coincides with the integral solution of the velocity continuation differential equation for continuation from the zero velocity plane.

This rigorous theory of velocity continuation gives us new insights into the methods of prestack migration velocity analysis. Extensions to the case of depth migration in a variable velocity background are developed by Liu and McMechan (1996) and Adler (2002). A practical application of velocity continuation to migration velocity analysis is demonstrated in the companion paper (Fomel, 2003b), where the general theory is used to design efficient and practical algorithms.

Velocity continuation and the anatomy of residual prestack time migration |

2014-04-01