On the surface hitting in the receivers by the ray method in 3D-layered homogenous media

Optimization methods of the solution of inverse kinematic problems, have gained importance in the last few years. Such methods demand fast algorithms of ray tracing from a given position of the source to a given series of the points, forming a set (generally speaking, two-dimensional) of the receivers on the surface of observation.

In this paper, we have overcome, though obvious in its sense, but a necessary stage of transition to calculations of the 3D seismic fields on the basis of the ray seismic formulas.