Seismic deconvolution by atomic decomposition: A parametric approach with sparseness constraints.
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| Title: | Seismic deconvolution by atomic decomposition: A parametric approach with sparseness constraints. |
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| Authors: | Herrmann, Felix J.1 fherrmann@eos.ubc.ca |
| Source: | Integrated Computer-Aided Engineering. 2005, Vol. 12 Issue 1, p69-90. 22p. 1 Diagram, 12 Graphs. |
| Subjects: | Deconvolution in seismic reflection, Seismic reflection method data processing, Parameter estimation, Estimation theory, Stochastic systems |
| Abstract: | In this paper an alternative approach to the blind seismic deconvolution problem is presented that aims for two goals namely recovering the location and relative strength of seismic reflectors, possibly with super-localization, as well as obtaining detailed parametric characterizations for the reflectors. We hope to accomplish these goals by decomposing seismic data into a redundant dictionary of parameterized waveforms designed to closely match the properties of reflection events associated with sedimentary records. In particular, our method allows for highly intermittent non-Gaussian records yielding a reflectivity that can no longer be described by a stationary random process or by a spike train. Instead, we propose a reflector parameterization that not only recovers the reflector's location and relative strength but which also captures reflector attributes such as its local scaling, sharpness and instantaneous phase-delay. The first set of parameters delineates the stratigraphy whereas the second provides information on the lithology. As a consequence of the redundant parameterization, finding the matching waveforms from the dictionary involves the solution of an ill-posed problem. Two complementary sparseness-imposing methods Matching and Basis Pursuit are compared for our dictionary and applied to seismic data. [ABSTRACT FROM AUTHOR] |
| Copyright of Integrated Computer-Aided Engineering is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 16246949 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Seismic deconvolution by atomic decomposition: A parametric approach with sparseness constraints. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Herrmann%2C+Felix+J%2E%22">Herrmann, Felix J.</searchLink><relatesTo>1</relatesTo><i> fherrmann@eos.ubc.ca</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Integrated+Computer-Aided+Engineering%22">Integrated Computer-Aided Engineering</searchLink>. 2005, Vol. 12 Issue 1, p69-90. 22p. 1 Diagram, 12 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Deconvolution+in+seismic+reflection%22">Deconvolution in seismic reflection</searchLink><br /><searchLink fieldCode="DE" term="%22Seismic+reflection+method+data+processing%22">Seismic reflection method data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Estimation+theory%22">Estimation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Stochastic+systems%22">Stochastic systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper an alternative approach to the blind seismic deconvolution problem is presented that aims for two goals namely recovering the location and relative strength of seismic reflectors, possibly with super-localization, as well as obtaining detailed parametric characterizations for the reflectors. We hope to accomplish these goals by decomposing seismic data into a redundant dictionary of parameterized waveforms designed to closely match the properties of reflection events associated with sedimentary records. In particular, our method allows for highly intermittent non-Gaussian records yielding a reflectivity that can no longer be described by a stationary random process or by a spike train. Instead, we propose a reflector parameterization that not only recovers the reflector's location and relative strength but which also captures reflector attributes such as its local scaling, sharpness and instantaneous phase-delay. The first set of parameters delineates the stratigraphy whereas the second provides information on the lithology. As a consequence of the redundant parameterization, finding the matching waveforms from the dictionary involves the solution of an ill-posed problem. Two complementary sparseness-imposing methods Matching and Basis Pursuit are compared for our dictionary and applied to seismic data. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Integrated Computer-Aided Engineering is the property of Sage Publications Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3233/ICA-2005-12106 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 69 Subjects: – SubjectFull: Deconvolution in seismic reflection Type: general – SubjectFull: Seismic reflection method data processing Type: general – SubjectFull: Parameter estimation Type: general – SubjectFull: Estimation theory Type: general – SubjectFull: Stochastic systems Type: general Titles: – TitleFull: Seismic deconvolution by atomic decomposition: A parametric approach with sparseness constraints. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Herrmann, Felix J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: 2005 Type: published Y: 2005 Identifiers: – Type: issn-print Value: 10692509 Numbering: – Type: volume Value: 12 – Type: issue Value: 1 Titles: – TitleFull: Integrated Computer-Aided Engineering Type: main |
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