Acta Geophysica

, Volume 66, Issue 4, pp 575–584 | Cite as

Stratigraphic absorption compensation based on multiscale shearlet transform

  • Chengming Liu
  • Deli WangEmail author
  • Jialin Sun
  • Yibin Li
  • Fan Yang
Research Article - Applied Geophysics


Seismic waves propagating through viscoelastic media experience stratigraphic absorption and attenuation effects, which directly affect the imaging resolution in seismic exploration. Without stratigraphic absorption, the ratio of deep reflection energy to shallow reflection energy (attenuation ratio) is invariable at different frequencies. If a seismogram is decomposed into different frequency bands, these signals will show similar time–energy distributions. Therefore, the attenuation ratios should be similar across different frequency bands, except for frequency-variable weights. Nevertheless, the frequency-variable weights for different frequency bands can be obtained by benchmarking against the time–energy distributions of low-frequency information because the loss of low-frequency information is relatively insignificant. In this light, we obtained frequency-variable weights for different frequencies and established a stratal absorption compensation (SAC) model. The anisotropic basis of the shearlet enables nearly optimal representation of curved-shape seismic signals, and shearlets at different scales can represent signals for different frequency bands. Then, we combined the SAC model with the shearlet transform and established the new compensation method. As the signal and noise have different distributions in the shearlet domain, we selectively compensated the signals using a thresholding algorithm. Hence, it was possible to avoid noise enhancement. This is the prominent advantage of the proposed method over other compensation methods.


Shearlet transform Inverse Q filtering Stratal absorption compensation Time–frequency analysis 



We thank the ShearLab for sharing their codes available on the web. This research is supported by the Major Projects of the National Science and Technology of China (Grant No. 2016ZX05026-002-003), National Natural Science Foundation of China (No. 41374108), and Graduate Innovation Fund of Jilin University (No. 2017090).


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Copyright information

© Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2018

Authors and Affiliations

  • Chengming Liu
    • 1
  • Deli Wang
    • 1
    Email author
  • Jialin Sun
    • 2
  • Yibin Li
    • 3
  • Fan Yang
    • 1
  1. 1.College of Geo Exploration Science and TechnologyJilin UniversityChangchunPeople’s Republic of China
  2. 2.China National Offshore Oil CorporationTianjinPeople’s Republic of China
  3. 3.China National Offshore Oil CorporationZhanjiangPeople’s Republic of China

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