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| Non-hyperbolic common reflection surface | |
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In the case of 3-D multi-azimuth acquisition, both
and
become
two-dimensional vectors. A natural way to extend
approximation (8) is to replace it with
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(14) |
where
,
is a
two-dimensional vector, and
and
are
two-by-two symmetric matrices (Tygel and Santos, 2007). A similar approach
works for extending approximation (12) to
|
(15) |
where
.
In the 3-D case, we have not found a simple connection between
approximation (15) and the analytical reflection
traveltime for a 3-D hyperbolic reflector.
2013-07-26