A post-stack method for 3-D cross-line statics estimation

Abstract

A method has been derived for the estimation of cross-line statics in which we perform the best possible stack of the data using whatever statics corrections are needed to optimise the stack response, followed by an estimation of the cross-line statics corrections using the stacked data only. The method makes use of several assumptions regarding the stacked data: (1) We have correctly estimated and removed the high wave-number statics in the in-line direction. (2) We have remaining the low wave-number statics in the in-line direction, since the low wave-numbers are indeterminate using any of the standard residual statics methods on real data. (3) We have remaining much, if not all, of the high wave-number statics in the cross-line direction. (4) We cannot separate low wave-number cross-line statics from low wave-number cross-line structure. (5) There are no vertical faults parallel to the in-line direction. (6) We can adjust the low wave-number statics within any and all lines in the in-line direction to correct for high wave-number statics in the cross-line direction.