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Anisotropic velocity functions can be well-modeled with anelliptic approximation. The non-hyperbolic moveout equations which derive from the anelliptic approximation
can be used to improve signal coherency over large source-geophone offsets.
The estimated additional parameters represent the degree of anellipticity that characterize transversely isotropic velocity.
These anelliptic parameters might be examined more deeply in order to providing a map from group velocity to phase velocity so that non-hyperbolic moveout estimates can provide non-hyperbolic migration operators.

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Stanford Exploration Project

1/13/1998