Non-minimum-phase wavelet estimation using second- and third-order moments

摘要

This paper presents a new algorithm for estimating non-minimum-phase seismic wavelets by using the second- and higher-order statistics (HOS) of the wavelets. In contrast to many, if not most, of the HOS-based methods, the proposed method does not need to assume that subsurface seismic reflectivity is a non-Gaussian, statistically independent and identically distributed random process. The amplitude and phase spectra of the wavelets are estimated, respectively, using the second-order statistics (SOS) and third-order moment (TOM) of the wavelets, which will, in turn, be derived from the HOS of the seismic traces. In our approach, the wavelets can be 'calculated' from seismic traces efficiently; no optimization or inversion is necessarily required. Very good results have been obtained by applying this method to both synthetic and real-field data sets.