Abstract:People usually use the migration algorithms of 15° wave equation and full wave equation in ψ revolved coordinate system. In spite of the fact that their equations are alike in the form,the two algorithms are entirely different from each other because of their different coordinate transforms. The two algorithms have their own advantages; therefore, they are coexistent and not replaceable each other. A new coordinate transform is here introduced to obtain a new family of wave equation migration algorithms. This coordinate transform has a variable ψ,each ψ value corresponding to a migration algorithm. The coordinate transforms adopted in the above two algorithms are only the special cases of the new coordinate transform in this paper. It can be hence seen that the algorithm family resulting from variable " covers a series of algorithms ranging from 15° algorithm to all dip algorithm. This research achieves the design of 2-D and 3-D migration programs having variable ψ. Consequently,you may choose a desirable algorithm when you are not satisfied with both the accuracy of 15° wave equation and the heavy noise background due to all dip algorithm. Some illustrations show you the fact that the series of algorithms result in variant effects.