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It is not strictly true that a properly migrated data volume
should have only one plane at a given location.
This is merely a model that for its validity
requires many conditions including that
(1) a local planar model suffices for curved interfaces,
(2) the data is mainly primary reflections, and
(3) faults and unconformities are a second order issue.
The idea that the weighting function for regression
must be determined along with the regression itself is a nonlinear concept,
accompanied by the usual difficulties.
The most elementary linearization is to presume
the desired events are the strongest ones
and that superposing semicircles and other events are weaker.
In reality, we typically start from such an oversimplified model
and then hope that
by iteration we can escape its limitations.

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Stanford Exploration Project

11/18/1997