Abstract
Wave equation migration is known to be simpler in principle when the
horizontal coordinate or coordinates are replaced by their Fourier
conjugates. Two practical migration schemes utilizing this concept
are developed in this paper. One scheme extends the Claerbout finite
difference method, greatly reducing dispersion problems usually associated
with this method at higher dips and frequencies. The second scheme
effects a Fourier transform in both space and time; by using the
full scalar wave equation in the conjugate space, the method eliminates
(up to the aliasing frequency) dispersion altogether. The second
method in particular appears adaptable to three-dimensional migration
and migration before stack.
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