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We present a phase shift datuming and migration algorithm
for the data acquired on a nonflat surface.
First of all, we formulate the exploding reflector modeling scheme
for a nonflat recording surface.
Then, the migration scheme is found
as the operator conjugate to the modeling operator.
In order to get the correct migration and datuming operators,
the forward modeling must be physically reasonable because
the conjugate operators are strongly dependent
on the forward modeling operator.
The artifacts caused by the non-unitary property of the operators
can be reduced by least-squares optimization technique.

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Stanford Exploration Project

11/17/1997