Translations:Gap deconvolution of a mixed-delay wavelet/18/en

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How does one determine the prediction distance? One way is to compute the autocorrelation of the seismic trace and see if it exhibits periodicity. If it does, the cycle time can be set equal to that period. A set of prediction distances clustering around such an estimate of cycle time should be used to determine empirically the “best-looking” dereverberation operator. Within statistical accuracy, such a method of predictive deconvolution can be described as follows: The prediction-error filter operating on the trace wipes out the reverberations so that the reverberations do not appear in the deconvolved trace. The residual wavelet (because its length is less than the cycle time) falls through the cracks of the prediction-error operator. Hence, the source wavelet does appear in the deconvolved trace. This deconvolved trace is equal to the reflectivity smoothed by the residual wavelet.