High Order Migration When V=V(x,z)
, by Bert Jacobs
A good migration scheme uses rational x-derivatives, dip filtering, and dissipation. In the case of laterally invariant media a recursive scheme exists for deriving operators of successively larger order which includes all these good features. When velocity varies laterally, the recursion generates 15- and 45-degree algorithms. The recursion fails to yield computationally useful algorithms of any higher degree which includes rational x-derivatives.
It is possible to get an algorithm of one higher order than the 45-degree algorithm with a trick. This trick does not admit extensions to any other order of approximation.
STANFORD