Abstract
The mathematical justification of the Hill’s method of prestack depth migration is analyzed. It is shown that this method should be classified as the ray based Kirchhoff migration with the so-called “fat” rays, that is, where rays are replaced by isolated Gaussian beams centered on the rays and associated somehow with the input data on the seismic surface. That makes essential difference with our approach to seismic depth migration based on the Gaussian beam summation method. The results of implementation of the basic Hill’s idea in computations of the wave field are shown with numerical examples. Bibliography: 10 titles.
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