I present the application of Stolt residual migration for converted waves on a real data set. Many challenges are involved in this application. The most important is the sparsity of the data. This problem is well addressed by Rosales and Biondi (2002).
In order to handle a 6D cube of information for a 2D prestack line after residual migration for converted waves, I freeze the parameter after applying residual migration only on the PP section. A more robust technique to deal with all the parameters simultaneously is in progress.
Picking the parameter values is also a troublesome problem, Clapp (2002) presents some suggestions on how to deal with this problem on PP data only. A simultaneous picking might be a solution.
Even though the theory of Stolt migration assumes constant velocity, Stolt residual migration can be safely applied to depth variant models, due to the dependency only on velocity ratios. This statement is also valid for multicomponent data.