The Linear Stacking Slowness Operator for a Non-Zero Near Offset , by John Toldi

All previous derivations of a linear relation between interval slowness anomalies and the corresponding anomalies in stacking slowness have assumed a near offset equal to the geophone interval. In common field practices, the distance from the shot to the nearest geophone is several geophone spacings. This practice changes the exact form of the operator relating interval slowness to stacking slowness. Because the near offset is typically only a small fraction of the full cable length, the effect is a subtle one. The generalized stacking slowness operator also provides the means to study the effects on stacking slownesses of using only a limited range of offsets.


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