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In order to prove beyond reasonable doubt that an inversion is
feasible, an actual extraction of the FEAVO anomalies in angle gathers
should be performed. This should not pose any problems, amounting in
the end to image processing - discriminating the anomalies based on
their morphology. Since the third prerequisite for an inversion is
an invertible operator, we should also show, at least on a particular
case, that the linearized downward continuation operator preserves the
FEAVO anomalies. Thus, after proving that an inversion for
the velocity model that produces the FEAVO anomalies is possible, the
work of setting up such an inversion first for 2D, then for 3D,
remains to be done. The operators must be constructed and a reliable
discrimination method in angle gathers set up.
We will approach the solution of the problem gradually, incorporating
elements of complexity one by one. We first have to develop a process that will
successfully separate the FEAVO anomalies in the angle domain, making
them ready for input into an inversion scheme for obtaining
. We will then implement a 2D synthetic case, then a 2D
real. We will develop the theory for the 3D case, build a 3D synthetic,
implement a 3D synthetic case, then a 3D real one, and finally lay out
the results in a publishable form.

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Stanford Exploration Project

6/7/2002