Weighting and Extrapolation Schemes for Stacking , by Jeff Thorson

Among the things that influence the suppression of multiples on a stack, the finite width of the CDP gather, and the corresponding truncation effects, is significant. Truncation of strong muliplies a the edge of a gather widens the sidelobes of the multiples in the velocity spectral domain to the point where they may overlap the desired primary components. Analagous to taper and transform methods of spectral estimation, the truncation side- lobes may be suppressed by a suitable weight applied to the gather before stack. The calculation of weights is complicated by the fact that a multiple to be suppressed has a nonlinear moveout. The most effective weights are likly proportional to a power of the local difference in dip between the multiple and the primary. Of course, all this holds for any weak coherent event to be stacked in the presence of a strong event of different dip. Another way to reduce any truncation error present is to extrapolate, weight and stack the data, which is analogous to the role of prediction error filtering in spectral estimation. Problems with spatial aliasing on the gather are not dealt with in this paper.


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