Acta Geophysica

, Volume 67, Issue 6, pp 1535–1550 | Cite as

High-resolution reflectivity inversion based on joint sparse representation

  • Zhanzhan Shi
  • Huailai ZhouEmail author
  • Yuanjun Wang
  • Cong Niu
  • Rao Huang
Research Article - Applied Geophysics


High-resolution reflectivity inversion is termed as a fundamental yet essential step for the prediction of thin-bedded hydrocarbon reservoirs. However, algorithms suffer from two key issues: (1) seismic inversion is an ill-posed problem that has multiple solutions, and the results of trace-by-trace seismic inversion are quite poor in lateral continuity, and (2) algorithm stability is likely to be decreased owing to the noise and distortion associated with the acquisition and processing flows. In the current article, we formulate a new joint sparse representation through the combination with L2,1-norm misfit function, which possesses superior noise robustness, in particular in the presence of outliers. On the basis of the L2,1-norm regularization, this specific approach enforces a common sparsity profile, together with consistently lowering the multiplicity of solution. Subsequent to that, the resultant algorithm is applied to the multi-trace seismic inversion. Besides, the wedge model trial and practical applications suggest that the proposed inversion algorithm is stable, in addition to having good noise robustness and lateral continuity; moreover, the vertical resolution of λ/8 is realized under the noise and outliers interference. The logging data calibration illustrates that the proposed methodology is accurate and credible.


Joint sparse representation L2,1-norm misfit function L2,1-norm regularization Seismic inversion Alternating direction method 



This work receives the financial support from the National Science and Technology Major Project (Grant No. 2016ZX05026-001-005) of the Ministry of Science and Technology of China. The second author (corresponding author) thanks Chuncheng Liu and Yiming Zhang of CNOOC Research Institute for the constructive discussion.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2019

Authors and Affiliations

  • Zhanzhan Shi
    • 1
    • 2
  • Huailai Zhou
    • 1
    Email author
  • Yuanjun Wang
    • 1
    • 3
  • Cong Niu
    • 4
  • Rao Huang
    • 4
  1. 1.College of GeophysicsChengdu University of TechnologyChengduChina
  2. 2.Engineering and Technical CollegeChengdu University of TechnologyLeshanChina
  3. 3.School of EducationChina West Normal UniversityNanchongChina
  4. 4.CNOOC Research InstituteBeijingChina

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