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Direct multichannel predictive deconvolution

Milton J. Porsani and Bjorn Ursin
Direct multichannel predictive deconvolution
Geophysics (April 2007) 72 (2): H11-H27


The Levinson principle generally can be used to compute recursively the solution of linear equations. It can also be used to update the error terms directly. This is used to do single-channel deconvolution directly on seismic data without computing or applying a digital filter. Multichannel predictive deconvolution is used for seismic multiple attenuation. In a standard procedure, the prediction-error filter matrices are computed with a Levinson recursive algorithm, using a covariance matrix of the input data. The filtered output is the prediction errors or the nonpredictable part of the data. Starting with the classical Levinson recursion, we have derived new algorithms for direct recursive calculation of the prediction errors without computing the data covariance-matrix or computing the prediction-error filters. One algorithm generates recursively the one-step forward and backward prediction errors and the L-step forward prediction error, computing only the filter matrices with the highest index. A numerically more stable algorithm uses reduced QR decomposition or singular-value decomposition (SVD) in a direct recursive computation of the prediction errors without computing any filter matrix. The new, stable, predictive algorithms require more arithmetic opera-tions in the computer, but the computer programs and data flow are much simpler than for standard predictive deconvolution.

ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 72
Serial Issue: 2
Title: Direct multichannel predictive deconvolution
Affiliation: Universidade Federal da Bahia, Instituto de Geociencias, Salvador, Brazil
Pages: H11-H27
Published: 200704
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 38
Accession Number: 2007-114255
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Annotation: Includes appendices
Illustration Description: illus. incl. 2 tables
Secondary Affiliation: Norwegian University of Science and Technology, NOR, Norway
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute. Reference includes data supplied by Society of Exploration Geophysicists, Tulsa, OK, United States
Update Code: 200747
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