Journal of Jilin University(Earth Science Edition) ›› 2016, Vol. 46 ›› Issue (6): 1855-1864.doi: 10.13278/j.cnki.jjuese.201606304

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Seismic Data Interpolation Based on Sparse Constraint in Shearlet Domain

Liu Chengming, Wang Deli, Hu Bin, Wang Tong   

  1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China
  • Received:2016-03-04 Online:2016-11-26 Published:2016-11-26
  • Supported by:
    Supported by National Science and Technology Major Project (2011ZX05023-005-008) and National Natural Science Foundation of China (41374108)

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Abstract: Seismic data interpolation for the missing traces forms a crucial step in the seismic processing flow. Interpolation result will affect the subsequent migration imaging and the effect of multiple elimination directly. Shearlet transform is a new multi-scale transform with multi-directions, multi-resolutions, and optimal sparse approximation properties. We propose an accelerate iterative Landweber algorithm for seismic data interpolation based on Shearlet transform, ensuring the precision and improving the computational efficiency at the same time. According to the distribution characteristics of signals and noise, the signal-to-noise ratio could be improved by using a threshold method to suppress random noise, improving the anti-noise capability of our algorithm. Moreover, jittered undersampling is adopted to suppress aliasing. A stylized experiment on synthetic as well as field data show the method is effective and robust.

Key words: Shearlet transform, interpolation, sparse transform, compress sensing, jittered undersampling

CLC Number: 

  • P631.4
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