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We have presented an approximate solution to the problem of varying fold
in 3D subsets extracted from 5D prestack volumes.
The solution is based on a multiplicity concept that normalizes each
input trace by the local fold of its corresponding bin.
The technique represents
a new development in our proposed
strategy for processing
wide-azimuth surveys for amplitude inversion.
Results of the application of integral migration
and integral AMO as discrete summations over the
preconditioned data have proved
to correct and equalize the imaging process for the effects of irregular
fold.
The advantage of applying the normalization procedure at the AMO stage
is threefold: (1) reduction of the size of prestack data subsets
(2) interpolation
to a regular grid before imaging (3) common-azimuth common-offset processing
of the 3D survey.
Moreover,
if we consider processing to be the inverse of modeling irregular data
from a regularly-sampled model,
AMO can be used to formulate a general
inversion scheme for 3D models from irregularly sampled data. The limited small
aperture of AMO enables inexpensive implementation of the inversion algorithm.
The equalization technique could
be used for preconditioning the inversion by column scaling under
the assumption of small variations in azimuth and offset.
This is the subject of continuing work and a full
algebraic description of the solution will
be presented in subsequent reports.

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Stanford Exploration Project

11/11/1997