Old and the new in seismic deconvolution and wavelet estimation
- Amoco Canada Petroleum Co. Ltd., Calgary, Can.
Various seismic deconvolution operators can be determined by estimating a seismic wavelet and subsequently designing an appropriate inverse filter which converts the wavelet to a spike. Seismic wavelets and deconvolution operators must be estimated in a time adaptive sense due to the nonstationarity of the seismic trace. The wavelet estimation methods considered either use the assumption of a minimum phase wavelet and a random impulse response, or the assumption that the wavelet cepstrum is readily separable from the cepstrum of the seismic trace. The former assumption is required in using the Hilbert transform and Wiener-Levinson wavelet estimations, while the latter assumption is used in homomorphic deconvolution. These wavelet estimates can be used in the design of multichannel Wiener and Kalman deconvolution operators. Multichannel usage of homomorphic deconvolution can also be implemented through various types of cepstral stacking. The discussion of deconvolution filter design focuses on the problems of filter length degree of prewhitening and nonstationarity. In designing time adaptive deconvolution filters, the autocorrelation function can be used to monitor the nonstationarity of the seismic trace. The autocorrelation function, which is used in the computation of least squares inverse filters, can be estimated in an optimum fashion by using the maximum entropy method. Differences between minimum phase Wiener deconvolution and maximum entropy deconvolution become more pronounced for shorter data gates. As a result the maximum entropy approach is preferred for time adaptive deconvolution. The performance of various wavelet estimators and inverse filters is discussed using real and synthetic seismic data. Discussions of homomorphic deconvolution and maximum entropy prediction error filtering are merged with descriptions of conventional approaches to deconvolution.
- OSTI ID:
- 5086533
- Journal Information:
- Geophys. Prospect.; (United States), Journal Name: Geophys. Prospect.; (United States) Vol. 25:3; ISSN GPPRA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
580203* -- Geophysics-- Geophysical Survey Methods-- (1980-1989)
CORRELATIONS
DATA ANALYSIS
DIAGRAMS
FILTERS
FLOWSHEETS
GEOPHYSICAL SURVEYS
HILBERT TRANSFORMATION
INTEGRAL TRANSFORMATIONS
LEAST SQUARE FIT
MAXIMUM-LIKELIHOOD FIT
MEASURING METHODS
NUMERICAL SOLUTION
RESOLUTION
SEISMIC SURVEYS
SEISMIC WAVES
TRANSFORMATIONS