Vibroseis Deconvolution*

Abstract

RISTOW, D. and JURCZYK, D., 1975, Vibroseis Deconvolution. Geophysical Prospecting 23, 363-379. Vibroseis deconvolution can be performed either before or after correlation. As regards the deconvolution before correlation, the Vibroseis deconvolution operator can be described as convolution of a spike deconvolution operator with a minimum-phase filter operator with bandpass properties. As regards the deconvolution after correlation, the deconvolution operator can be shown to be the convolution of three operators: spike deconvolution operator and two-fold convolution with a minimum phase operator. Time-varyingVibroseis deconvolution can particularly well be described and performed after correlation.

Improving the processing of vibroseis data for very shallow high‐resolution measurements

“…Since spiking deconvolution of mixed‐phase wavelets poses problems (Yilmaz , pp. 219–222), a transformation of the Klauder wavelet into its minimum‐phase equivalent was proposed in order to bypass this problem (Ristow and Jurczyk ).…”

Why don’t we measure seismic signatures?

“…In the time domain, this wavelet is the convolution of the time derivative of the ground force with the time reverse of the sweep. This wavelet is clearly not equal to the autocorrelation of the sweep, as is usually assumed in the processing of Vibroseis data (e.g., Ristow and Jurczyk, 1975;Lines and Clayton, 1977;Bickel, 1982;Brotz et al, 1987). To determine the wavelet, it is necessary to know the ground force.…”

“…In Vibroseis processing, it is normally assumed that the signal put into the ground is equal to the sweep, regardless of the signal used for feedback and control (e.g., Ristow and Jurczyk, 1975;Lines and Clayton, 1977;Bickel, 1982;Bretz et al, 1987). It was argued above that the feedback system cannot cope with the harmonic distortion introduced by the drive system of the hydraulic vibrator, so the feedback signal and the pilot sweep are not the same.…”

Petroleum Exploration: A Quantitative Introduction

“…This procedure has been described by Marschall (1984) as an alternative to a theoretically sound Vibroseis deconvolution procedure developed by Ristow and Jurczyk (1975). However, Vibroseis leads to a zero-phase Klauder wavelet as the effective input signal, and W -L deconvolution is appropriate only after converting the zero-phase Klauder wavelet to its minimum-phase equivalent.…”