Randomized marine acquisition with compressive sampling matrices.
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| Title: | Randomized marine acquisition with compressive sampling matrices. |
|---|---|
| Authors: | Mansour, Hassan1, Wason, Haneet2, Lin, Tim T.Y.2, Herrmann, Felix J.2 |
| Source: | Geophysical Prospecting. Jul2012, Vol. 60 Issue 4, p648-662. 15p. 1 Chart, 12 Graphs. |
| Subjects: | Seismology, Data acquisition systems, Approximation theory, Fourier transforms, Simulation methods & models, Data analysis |
| Abstract: | ABSTRACT Seismic data acquisition in marine environments is a costly process that calls for the adoption of simultaneous-source or randomized acquisition - an emerging technology that is stimulating both geophysical research and commercial efforts. Simultaneous marine acquisition calls for the development of a new set of design principles and post-processing tools. In this paper, we discuss the properties of a specific class of randomized simultaneous acquisition matrices and demonstrate that sparsity-promoting recovery improves the quality of reconstructed seismic data volumes. We propose a practical randomized marine acquisition scheme where the sequential sources fire airguns at only randomly time-dithered instances. We demonstrate that the recovery using sparse approximation from random time-dithering with a single source approaches the recovery from simultaneous-source acquisition with multiple sources. Established findings from the field of compressive sensing indicate that the choice of the sparsifying transform that is incoherent with the compressive sampling matrix can significantly impact the reconstruction quality. Leveraging these findings, we then demonstrate that the compressive sampling matrix resulting from our proposed sampling scheme is incoherent with the curvelet transform. The combined measurement matrix exhibits better isometry properties than other transform bases such as a non-localized multidimensional Fourier transform. We illustrate our results with simulations of 'ideal' simultaneous-source marine acquisition, which dithers both in time and space, compared with periodic and randomized time-dithering. [ABSTRACT FROM AUTHOR] |
| Copyright of Geophysical Prospecting is the property of Wiley-Blackwell 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 76608728 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Randomized marine acquisition with compressive sampling matrices. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mansour%2C+Hassan%22">Mansour, Hassan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Wason%2C+Haneet%22">Wason, Haneet</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Lin%2C+Tim+T%2EY%2E%22">Lin, Tim T.Y.</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Herrmann%2C+Felix+J%2E%22">Herrmann, Felix J.</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Geophysical+Prospecting%22">Geophysical Prospecting</searchLink>. Jul2012, Vol. 60 Issue 4, p648-662. 15p. 1 Chart, 12 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Seismology%22">Seismology</searchLink><br /><searchLink fieldCode="DE" term="%22Data+acquisition+systems%22">Data acquisition systems</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Simulation+methods+%26+models%22">Simulation methods & models</searchLink><br /><searchLink fieldCode="DE" term="%22Data+analysis%22">Data analysis</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: ABSTRACT Seismic data acquisition in marine environments is a costly process that calls for the adoption of simultaneous-source or randomized acquisition - an emerging technology that is stimulating both geophysical research and commercial efforts. Simultaneous marine acquisition calls for the development of a new set of design principles and post-processing tools. In this paper, we discuss the properties of a specific class of randomized simultaneous acquisition matrices and demonstrate that sparsity-promoting recovery improves the quality of reconstructed seismic data volumes. We propose a practical randomized marine acquisition scheme where the sequential sources fire airguns at only randomly time-dithered instances. We demonstrate that the recovery using sparse approximation from random time-dithering with a single source approaches the recovery from simultaneous-source acquisition with multiple sources. Established findings from the field of compressive sensing indicate that the choice of the sparsifying transform that is incoherent with the compressive sampling matrix can significantly impact the reconstruction quality. Leveraging these findings, we then demonstrate that the compressive sampling matrix resulting from our proposed sampling scheme is incoherent with the curvelet transform. The combined measurement matrix exhibits better isometry properties than other transform bases such as a non-localized multidimensional Fourier transform. We illustrate our results with simulations of 'ideal' simultaneous-source marine acquisition, which dithers both in time and space, compared with periodic and randomized time-dithering. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Geophysical Prospecting is the property of Wiley-Blackwell 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: 10.1111/j.1365-2478.2012.01075.x Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 648 Subjects: – SubjectFull: Seismology Type: general – SubjectFull: Data acquisition systems Type: general – SubjectFull: Approximation theory Type: general – SubjectFull: Fourier transforms Type: general – SubjectFull: Simulation methods & models Type: general – SubjectFull: Data analysis Type: general Titles: – TitleFull: Randomized marine acquisition with compressive sampling matrices. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mansour, Hassan – PersonEntity: Name: NameFull: Wason, Haneet – PersonEntity: Name: NameFull: Lin, Tim T.Y. – PersonEntity: Name: NameFull: Herrmann, Felix J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 00168025 Numbering: – Type: volume Value: 60 – Type: issue Value: 4 Titles: – TitleFull: Geophysical Prospecting Type: main |
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