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We consider the problem of seismic migration for me- dia with a permanent acoustic stiffness oscillations are described by the Klein-Gordon-Fock. The global beam parametric coordinate system for a medium with constant acoustic stiffness, we obtained an asymptotic solution of the seismic migration problem in the form of a compact integral formula. We carried out the implementation of test calculations. Also with this method is considered the inverse scattering problem for inhomogeneous media with local exponential density changes. It is shown that the numerical solution is very accurate analytical approaches.