SpringerLink
Log in

Elastic Wavefield Decomposition for Reverse-Time Migration in 3D Transverse Isotropic Media

  • Published:
Pure and Applied Geophysics Aims and scope Submit manuscript

Abstract

Elastic reverse-time migration (ERTM), which utilizes the advantages of both P- and S-wave modes, is a widely used application for imaging in 3D anisotropic media. However, crosstalk due to intrinsically coupled P- and S-wavefields may degrade the image quality. To solve this problem, this study presents an effective vector P- and S-wavefield decomposition scheme in ERTM that can improve the images of 3D transversely isotropic (TI) media. The proposed method consists of four steps: (1) rotating the observation coordinate system to align its vertical axis with the symmetry axis of 3D TI media; (2) deriving the formulations of the 3D TI decomposition operator by applying the VTI P/S wave-mode decomposition strategy based on eigenform analysis in the new coordinate system; (3) implementing vector P- and S-wavefield decomposition by constructing the 3D TI Poisson equation, and introducing a novel and efficient method based on the first-order Taylor expansion to accelerate the computational efficiency of the decomposition; and (4) applying a vector-based dot-product imaging condition to generate PP and PS images. Compared with previous studies, the algorithm of our proposed method in 3D TI media is both numerically stable and computationally efficient. The 3D TI decomposition operator generates vector P- and S-wavefields showing the correct amplitude/phase with the input ones. Several numerical examples illustrate the satisfactory performance of the proposed 3D TI decomposition operator and the effective image improvement.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Data availability

Data associated with this research are available and can be obtained by contacting the corresponding author.

References

  • Aki, K., & Richards, P. G. (2002). Quantitative seismology. Freeman.

    Google Scholar 

  • Caldwell, J. (1999). Marine multicomponent seismology. The Leading Edge, 18, 1274–1282.

    Article  Google Scholar 

  • Cheng, J., & Fomel, S. (2014). Fast algorithms for elastic-wave-mode separation and vector decomposition using low-rank approximation for anisotropic media. Geophysics, 79, C97–C110.

    Article  Google Scholar 

  • Dellinger, J., & Etgen, J. (1990). Wave-field separation in two-dimensional anisotropic media. Geophysics, 55, 806–948.

    Article  Google Scholar 

  • Duveneck, E., Milcik, P., Bakker, PM., Perkins, C. 2008. Acoustic VTI wave equations and their application for anisotropic reverse-time migration. Seg Technical Program Expanded Abstracts. 2186–2190.

  • Fletcher, R. P., Du, X., & Fowler, P. J. (2009). Reverse time migration in tilted transversely isotropic (TTI) media. Geophysics, 74, 179–187.

    Article  Google Scholar 

  • Grechka, V., Zhang, L., & Rector, J. (2004). Shear waves in acoustic anisotropic media. Geophysics, 69, 576–582.

    Article  Google Scholar 

  • **, S., Fan, J., Ren, Y. 2010. Comparison of isotropic, VTI and TTI reverse time migration: An experiment on BP anisotropic benchmark dataset. Seg Technical Program Expanded Abstracts. 3198–3203.

  • Tsvankin I. 2001. Seismic signatures and analysis of reflection data in anisotropic media, 3rd edn||front matter.

  • Liu, G., Meng, X., Yu, Z., & Liu, D. (2019). An efficient scheme for multi-GPU TTI reverse time migration. Applied Geophysics, 16, 56–63.

    Article  Google Scholar 

  • Oristaglio, M. (2012). SEAM phase II—surface waves in land seismic exploration. The Leading Edge, 31, 264–266.

    Article  Google Scholar 

  • Thomsen, L. (1986). Weak elastic anisotropy. Geophysics, 51, 1954–1966.

    Article  Google Scholar 

  • Weibull, W. W., & Arntsen, B. (2014). Anisotropic migration velocity analysis using reverse-time migration. Geophysics, 79, R13–R25.

    Article  Google Scholar 

  • Winterstein, D. F. (1990). Velocity anisotropy terminology for geophysicists. Geophysics, 55, 1070–1088.

    Article  Google Scholar 

  • Yan J, Sava P. 2009a. Elastic wave mode separation for TTI media. SEG Technical Program Expanded Abstracts. 4338–4342.

  • Yan, J., & Sava, P. (2009b). Elastic wave-mode separation for VTI media. Geophysics, 74, 154–174.

    Article  Google Scholar 

  • Yang, J., Zhang, H., Zhao, Y., & Zhu, H. (2019). Elastic wavefield separation in anisotropic media based on eigenform analysis and its application in reverse-time migration. Geophysical Journal International, 217, 1290–1313.

    Article  Google Scholar 

  • Yoon, K., Sang, S., Ji, J., Cai, J., Wang, B. 2010. Stability and speedup issues in TTI RTM implementation. Seg Technical Program Expanded Abstracts. 3221–3225.

  • Zhan, G., Pestana, R. C., & Stoffa, P. L. (2012). Decoupled equations for reverse time migration in tilted transversely isotropic media. Geophysics, 77, 37–45.

    Article  Google Scholar 

  • Zhang, H., Zhang, Y. 2008. Reverse time migration in 3D heterogeneous TTI media. Seg Technical Program Expanded Abstracts. 2196–2200.

  • Zhang, JH., Zhang, G., Zhang, Y. 2009. Removing S-wave noise in TTI reverse time migration. Seg Technical Program Expanded. 2849–2853.

  • Zhang, L. L., Liu, L., Niu, F., Zuo, J., Shuai, D., & Zhao, Y. (2022). A novel and efficient engine for P-/S-wave-mode vector decomposition for vertical transverse isotropic elastic reverse time migration. Geophysics, 87, S185–S207.

    Article  Google Scholar 

  • Zhang, Q., & McMechan, G. A. (2010). 2D and 3D elastic wavefield vector decomposition in the wavenumber domain for VTI media. Geophysics, 75, D13.

    Article  Google Scholar 

  • Zhao, Y., & Li, W. C. (2018). Model-based radiation pattern correction for interferometric redatuming in 4D seismic. Geophysics, 83, Q25–Q35.

    Article  Google Scholar 

  • Zhao, Y., Zhang, H., Yang, J., & Fei, T. (2018). Reducing artifacts of elastic reverse time migration by the deprimary technique. Geophysics, 83, S569–S577.

    Article  Google Scholar 

  • Zhu, H. (2017). Elastic wavefield separation based on the Helmholtz decomposition. Geophysics, 82, S173–S183.

    Article  Google Scholar 

  • Zuo, J., Niu, F., Liu, L., Da, S., Zhang, H., Yang, J., Zhang, L., & Zhao, Y. (2022). 3D anisotropic P- and S-mode wavefields separation in 3D elastic reverse-time migration. Surveys in Geophysics, 43, 673–701.

    Article  Google Scholar 

Download references

Acknowledgements

This study is jointly supported by the National Key R&D Program of China (2020YFA0710604), the Foundation of State Key Laboratory of Petroleum Resources and Prospecting from the China University of Petroleum in Bei**g (No. PRP/indep-3-1707), and the National Natural Science Foundation of China (42104108), the China Postdoctoral Science Foundation (2021M703576), and the Strategic Cooperation Technology Projects of CNPC and CUPB (ZLZX2020-05). We also thank SEAM for the SEAM II Arid model. The other associated data used by this paper are listed in the paper.

Author information

Authors and Affiliations

  1. State Key Laboratory of Petroleum Resources and Engineering, Unconventional Petroleum Research Institute, China University of Petroleum, 18 Fuxue Road, Chang** District, Bei**g, 102249, China

    Jiahui Zuo, Fenglin Niu, Lele Zhang, Ke Chen, Da Shuai & Yang Zhao

  2. Aramco Bei**g Research Center, Aramco Asia, Bei**g, 100102, China

    Lu Liu

  3. Aramco Houston Research Center, Aramco America, Houston, TX, 77077, USA

    Houzhu Zhang

  4. The School of Geosciences, The Laboratory for Marine Mineral Resources, National Laboratory for Marine Science and Technology, China University of Petroleum, Qingdao, 266580, Shandong, China

    Jidong Yang

Authors
  1. Jiahui Zuo
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fenglin Niu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Lele Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lu Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Houzhu Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Ke Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Da Shuai
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Jidong Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  9. Yang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

JZ: developed the theory and numerical computations and wrote a preliminary manuscript. YZ: improved the theory, and numerical simulations and provided English language editing issues as the corresponding author. The authors have no conflicts of interest to declare that are relevant to the content of this article. All authors approved the final version of the review paper.

Corresponding author

Correspondence to Yang Zhao.

Ethics declarations

Conflict of Interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zuo, J., Niu, F., Zhang, L. et al. Elastic Wavefield Decomposition for Reverse-Time Migration in 3D Transverse Isotropic Media. Pure Appl. Geophys. 180, 3559–3585 (2023). https://doi.org/10.1007/s00024-023-03325-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00024-023-03325-8

Keywords

Search

Navigation