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Existing one-way imaging and modeling algorithms like Stolt's and
phase-shift methods can
be extended to the anisotropic case and are computationally attractive when
the exact anisotropic dispersion relation is approximated by a rational
polynomial. This double elliptic approximation works very well in the
phase domain and, like the exact dispersion relation,
produces triplication in the group domain.
The same parameter which describes the dispersion relation
can be used to
approximate the group velocity curve however,
then triplications are not reproduced.
This suggests that phase velocity curves should be approximated,
and implies that the processing should be done in the
or domain.

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Stanford Exploration Project

12/18/1997