Synthetic examples

The midpoint-offset traveltime equation [equation ()] can be used directly in a prestack Kirchhoff-type migration of common-offset gathers. This equation provides us with the summation curve used to implement the Kirchhoff migration for a given offset. Using such a prestack migration, I will test the accuracy of equation () by migrating synthetic data that include horizontal, as well as dipping, reflections. The position of the migrated reflectors as well as the moveout after migration are two key indicators to the accuracy of the new pyramid equation for VTI media. The synthetic data are generated using a method described by () for VTI media. The test here is applied to homogeneous, as well as v(z) media.