Academic Journal

基于压缩感知的快速 Bregman 地震数据重建方法.

Bibliographic Details
Title: 基于压缩感知的快速 Bregman 地震数据重建方法. (Chinese)
Alternate Title: Reconstruction of seismic data with fast Bregman based on compressed sensing. (English)
Authors: 孙小东, 李傲伟, 秦 宁, 蒋 润, 王敬伊, 赵 亮, 孙耀庭
Source: Journal of China University of Petroleum; Aug2025, Vol. 49 Issue 4, p62-68, 7p
Subject Terms: Compressed sensing, Curvelet transforms, Thresholding algorithms, Seismic surveys, Mathematical optimization, Iterative methods (Mathematics), Electronic data processing
Abstract (English): Due to factors such as ground environment, equipment limitations, and costs, seismic data collected in the field often suffer from missing traces. Therefore, the rapid and effective reconstruction of missing seismic data is crucial. To address this issue, we propose a seismic data reconstruction method based on compressed sensing theory, utilizing a fast Bregman approach with multiscale and multidirectional curvelet transforms as the sparse basis. The Bregman method decomposes the solution of the L1 -norm minimization problem into a series of subproblems, which are efficiently and accurately solved using the fast iterative shrinkage-thresholding algorithm (FISTA), thereby achieving high-quality reconstruction of missing data. Experimental results demonstrate that the fast Bregman method based on compressed sensing can efficiently reconstruct complex synthetic seismic data and enhance the accuracy of iterative computations. Complared to LBM and FISTA methods, the proposed method achieves superior performance in both reconstruction efficiency and accuracy. [ABSTRACT FROM AUTHOR]
Abstract (Chinese): 受地面环境、设备及成本等因素的影响, 野外采集的地震数据往往存在缺失道, 快速有效地重建缺失地震数据 十分重要。针对缺失道的地震数据, 根据压缩感知理论, 提出一种快速 Bregman 方法的地震数据重建方法, 并采用多 尺度、多方向曲波变换作为稀疏基。通过 Bregman 方法将求解 L1 范数问题分解为一系列子问题, 引入快速迭代收缩 阈值方法 (FISTA) 高效、准确地求解子问题, 从而实现对缺失数据的高质量重构。结果表明, 基于压缩感知的快速 Bregman 方法可以对构造复杂的地震数据进行高效的重建, 并且提高迭代计算的重建精度。对于缺失地震数据的重 建, 所提方法在效率和精度方面均高于 LBM 和 FISTA 方法。 [ABSTRACT FROM AUTHOR]
Copyright of Journal of China University of Petroleum is the property of China University of Petroleum 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.)
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  Data: 基于压缩感知的快速 Bregman 地震数据重建方法. (Chinese)
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  Data: Reconstruction of seismic data with fast Bregman based on compressed sensing. (English)
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  Data: <searchLink fieldCode="AR" term="%22孙小东%22">孙小东</searchLink><br /><searchLink fieldCode="AR" term="%22李傲伟%22">李傲伟</searchLink><br /><searchLink fieldCode="AR" term="%22秦+宁%22">秦 宁</searchLink><br /><searchLink fieldCode="AR" term="%22蒋+润%22">蒋 润</searchLink><br /><searchLink fieldCode="AR" term="%22王敬伊%22">王敬伊</searchLink><br /><searchLink fieldCode="AR" term="%22赵+亮%22">赵 亮</searchLink><br /><searchLink fieldCode="AR" term="%22孙耀庭%22">孙耀庭</searchLink>
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  Data: Journal of China University of Petroleum; Aug2025, Vol. 49 Issue 4, p62-68, 7p
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  Data: <searchLink fieldCode="DE" term="%22Compressed+sensing%22">Compressed sensing</searchLink><br /><searchLink fieldCode="DE" term="%22Curvelet+transforms%22">Curvelet transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Thresholding+algorithms%22">Thresholding algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Seismic+surveys%22">Seismic surveys</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+data+processing%22">Electronic data processing</searchLink>
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  Label: Abstract (English)
  Group: Ab
  Data: Due to factors such as ground environment, equipment limitations, and costs, seismic data collected in the field often suffer from missing traces. Therefore, the rapid and effective reconstruction of missing seismic data is crucial. To address this issue, we propose a seismic data reconstruction method based on compressed sensing theory, utilizing a fast Bregman approach with multiscale and multidirectional curvelet transforms as the sparse basis. The Bregman method decomposes the solution of the L<subscript>1</subscript> -norm minimization problem into a series of subproblems, which are efficiently and accurately solved using the fast iterative shrinkage-thresholding algorithm (FISTA), thereby achieving high-quality reconstruction of missing data. Experimental results demonstrate that the fast Bregman method based on compressed sensing can efficiently reconstruct complex synthetic seismic data and enhance the accuracy of iterative computations. Complared to LBM and FISTA methods, the proposed method achieves superior performance in both reconstruction efficiency and accuracy. [ABSTRACT FROM AUTHOR]
– Name: AbstractNonEng
  Label: Abstract (Chinese)
  Group: Ab
  Data: 受地面环境、设备及成本等因素的影响, 野外采集的地震数据往往存在缺失道, 快速有效地重建缺失地震数据 十分重要。针对缺失道的地震数据, 根据压缩感知理论, 提出一种快速 Bregman 方法的地震数据重建方法, 并采用多 尺度、多方向曲波变换作为稀疏基。通过 Bregman 方法将求解 L<subscript>1</subscript> 范数问题分解为一系列子问题, 引入快速迭代收缩 阈值方法 (FISTA) 高效、准确地求解子问题, 从而实现对缺失数据的高质量重构。结果表明, 基于压缩感知的快速 Bregman 方法可以对构造复杂的地震数据进行高效的重建, 并且提高迭代计算的重建精度。对于缺失地震数据的重 建, 所提方法在效率和精度方面均高于 LBM 和 FISTA 方法。 [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of China University of Petroleum is the property of China University of Petroleum 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: 10.3969/j.issn.1673-5005.2025.04.006
    Languages:
      – Code: chi
        Text: Chinese
    PhysicalDescription:
      Pagination:
        PageCount: 7
        StartPage: 62
    Subjects:
      – SubjectFull: Compressed sensing
        Type: general
      – SubjectFull: Curvelet transforms
        Type: general
      – SubjectFull: Thresholding algorithms
        Type: general
      – SubjectFull: Seismic surveys
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Iterative methods (Mathematics)
        Type: general
      – SubjectFull: Electronic data processing
        Type: general
    Titles:
      – TitleFull: 基于压缩感知的快速 Bregman 地震数据重建方法.
        Type: main
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      – PersonEntity:
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            NameFull: 孙小东
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            NameFull: 李傲伟
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            NameFull: 秦 宁
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            NameFull: 蒋 润
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            NameFull: 王敬伊
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            NameFull: 赵 亮
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            NameFull: 孙耀庭
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            – D: 01
              M: 08
              Text: Aug2025
              Type: published
              Y: 2025
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              Value: 49
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