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The results shown in the previous section demonstrate that with the apex-shifted Radon
transform it is possible to attenuate, although not completely remove, the
diffracted multiples. It should be
noted, however, that in our seismic section it is very difficult to find a
legitimate primary reflection below the salt and in particular below the edge
of the salt, where the contamination by the diffracted multiples is stronger.
It is somewhat disappointing that the attenuation of the diffracted multiples
did not help in uncovering any meaningful primary reflections in our example. I
expect the situation to be different with other datasets.
I should also emphasize that adding the extra dimension to deal with the diffracted
multiples does not in itself resolve the usual trade-off between primary preservation
and multiple attenuation. We saw this limitation in this case, which forced us
to let some residual multiple energy leak into the extracted primaries. The flatter
the primaries are in the ADCIGs, and the more accurately the kernel of the
Radon transform approximates the residual moveout of the multiples, the better are
our chances of reducing the residual multiple energy.

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2007-10-24