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Preconditioned prestack plane-wave least squares reverse time migration with singular spectrum constraint

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Abstract

Least squares migration can eliminate the artifacts introduced by the direct imaging of irregular seismic data but is computationally costly and of slow convergence. In order to suppress the migration noise, we propose the preconditioned prestack plane-wave least squares reverse time migration (PLSRTM) method with singular spectrum constraint. Singular spectrum analysis (SSA) is used in the preconditioning of the take-offangle-domain common-image gathers (TADCIGs). In addition, we adopt randomized singular value decomposition (RSVD) to calculate the singular values. RSVD reduces the computational cost of SSA by replacing the singular value decomposition (SVD) of one large matrix with the SVD of two small matrices. We incorporate a regularization term into the preconditioned PLSRTM method that penalizes misfits between the migration images from the plane waves with adjacent angles to reduce the migration noise because the stacking of the migration results cannot effectively suppress the migration noise when the migration velocity contains errors. The regularization imposes smoothness constraints on the TADCIGs that favor differential semblance optimization constraints. Numerical analysis of synthetic data using the Marmousi model suggests that the proposed method can efficiently suppress the artifacts introduced by plane-wave gathers or irregular seismic data and improve the imaging quality of PLSRTM. Furthermore, it produces better images with less noise and more continuous structures even for inaccurate migration velocities.

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Acknowledgments

The authors wish to thank Profs. He Bingshou, Liu Yang, and Chen Keyang for constructive comments and suggestions.

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Authors and Affiliations

  1. School of Geosciences, China University of Petroleum, Qingdao, 266580, China

    Chuang Li, Jian-Ping Huang & Zhen-Chun Li

  2. Hisense (Shandong) Refrigerator Co. Ltd, Hisense, Qingdao, Shandong, 266580, China

    Rong-Rong Wang

Authors
  1. Chuang Li
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  2. Jian-Ping Huang
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  3. Zhen-Chun Li
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  4. Rong-Rong Wang
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Corresponding author

Correspondence to Jian-Ping Huang.

Additional information

This work was jointly supported by the National Science and Technology Major Project (No. 2016ZX05014-001-008), the National Key Basic Research Program of China (No. 2014CB239006), the National Natural Science Foundation of China (Nos. 41104069 and 41274124), the Open foundation of SINOPEC Key Laboratory of Geophysics (No. 33550006-15-FW20 99-0033), and the Fundamental Research Funds for Central Universities (No. 16CX06046A).

Li Chuang is a PhD candidate in Geological Resources and Engineering at the China University of Petroleum. He was born in 1992 and received his undergraduate degree in Geophysical Prospecting and Engineering from China University of Petroleum in 2013. His research interests are least squares migration of seismic data and seismic data regularization.

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Li, C., Huang, JP., Li, ZC. et al. Preconditioned prestack plane-wave least squares reverse time migration with singular spectrum constraint. Appl. Geophys. 14, 73–86 (2017). https://doi.org/10.1007/s11770-017-0599-8

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  • DOI: https://doi.org/10.1007/s11770-017-0599-8

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