The ray-tracing problem is considered the solution to a minimum travel time problem for media where each layer is a transversely isotropic homogeneous solid. The wave surface-wavefront at t=1 s, corresponding to a wave generated at the point source, associated with each layer's anisotropy is approximated by surfaces which are not more difficult to handle, from a computational point of view, than ellipsoidal surfaces. These approximating surfaces are those used in ray-tracing computation; a ray being a true ray approximation is thus obtained.--Modified journal abstract.

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