1887
Volume 71, Issue 3
  • E-ISSN: 1365-2478

Abstract

Abstract

Conventional tools for seismic imaging normally ignore the anisotropy of the media to produce images of the subsurface, and such omission reduces the quality of the images. Therefore, it is necessary to develop methods which account for subsurface anisotropic properties in order to produce more accurate images. In this paper, we present a least‐squares reverse time migration based on the coupled pseudo‐acoustic equations for tilted transverse isotropic media. Thus, from the stable pseudo‐acoustic wave equation for such media, we derive the linearized modelling (Born modelling) and adjoint migration operators to implement a least‐squares reverse time migration. Then, to save time and effort on development, while ensuring optimal performance of the inversion, we based our implementation on the domain‐specific language Devito, which, in turn, allowed us to easily verify the correctness of the developed operators. Synthetic examples demonstrate the validity of our approach in dealing with tilted transverse isotropic media.

Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.13301
2023-02-17
2024-04-19
Loading full text...

Full text loading...

References

  1. Baysal, E., Kosloff, D.D. & Sherwood, J.W. (1983) Reverse time migration. Geophysics, 48(11), 1514–1524.
    [Google Scholar]
  2. Dong, S., Cai, J., Guo, M., Suh, S., Zhang, Z., Wang, B. et al. (2012) Least‐squares reverse time migration: Towards true amplitude imaging and improving the resolution. In: SEG technical program expanded abstracts 2012. Houston, TX: Society of Exploration Geophysicists, pp. 1–5.
    [Google Scholar]
  3. Gu, B., Zhang, S., Huang, J. & Han, J. (2022) Q‐compensated least‐squares reverse time migration in TTI media using the visco‐acoustic TTI wave equation based on the SLS model. Journal of Applied Geophysics, 203, 104682.
    [Google Scholar]
  4. Huang, J., Si, D., Li, Z. & Huang, J. (2016) Plane‐wave least‐squares reverse time migration in complex VTI media. In: 2016 SEG International Exposition and Annual Meeting. Houston, TX: Society of Exploration Geophysicists, pp. 441–446.
    [Google Scholar]
  5. Huang, J.P., Mu, X.R., Li, Z.C., Li, Q.Y., Yuan, S.Q. & Guo, Y.D. (2020) Pure qP‐wave least‐squares reverse time migration in vertically transverse isotropic media and its application to field data. Applied Geophysics, 2, 208–220.
    [Google Scholar]
  6. Huang, Y., Gao, K., Zhang, M., Sabin, A. & Huang, L. (2018) Imaging fracture zones at eleven‐mile canyon using anisotropic least‐squares reverse‐time migration. Geothermal Resources Council Transactions, 42.
  7. Jin, S., Kuehl, H., Kiehn, M., Plessix, R.E. & Wittmann‐Hohlbein, M. (2019) Visco‐acoustic least‐squares reverse time migration in TTI media and application to OBN data. In: SEG International Exposition and Annual Meeting. OnePetro.
  8. Krekel, H., Oliveira, B., Pfannschmidt, R., Bruynooghe, F., Laugher, B. & Bruhin, F. (2004) pytest 7.1.2, https://github.com/pytest‐dev/pytest/ [Accessed 5th February 2022].
  9. Levin, S.A. (1984) Principle of reverse‐time migration. Geophysics, 49(5), 581–583.
    [Google Scholar]
  10. Louboutin, M., Lange, M., Luporini, F., Kukreja, N., Witte, P.A., Herrmann, F.J. et al. (2019) Devito (v3.1.0): an embedded domain‐specific language for finite differences and geophysical exploration. Geoscientific Model Development, 12(3), 1165–1187.
    [Google Scholar]
  11. Louboutin, M., Luporini, F., Witte, P., Nelson, R., Bisbas, G., Thorbecke, J. et al. (2020) Scaling through abstractions–high‐performance vectorial wave simulations for seismic inversion with Devito [Preprint]. arXiv:2004.10519.
  12. Luporini, F., Louboutin, M., Lange, M., Kukreja, N., Witte, P., Hückelheim, J. et al. (2020) Architecture and performance of devito, a system for automated stencil computation. ACM Transactions on Mathematical Software, 46(1), 1–28.
    [Google Scholar]
  13. Métivier, L. & Brossier, R. (2016) The SEISCOPE optimization toolbox: a large‐scale nonlinear optimization library based on reverse communication. Geophysics, 81(2), F1–F15.
    [Google Scholar]
  14. Mojica, O.F. & Maciel, J.S. (2020) Seismic modeling from scratch using Devito: a demonstration with a typical Brazilian pre‐salt model. In: SEG technical program expanded abstracts 2020. Houston, TX: Society of Exploration Geophysicists, pp. 2714–2718.
    [Google Scholar]
  15. Mu, X., Huang, J., Yang, J., Guo, X. & Guo, Y. (2020) Least‐squares reverse time migration in TTI media using a pure qP‐wave equation. Geophysics, 85(4), S199–S216.
    [Google Scholar]
  16. Qu, Y., Huang, J., Li, Z., Guan, Z. & Li, J. (2017) Attenuation compensation in anisotropic least‐squares reverse time migration. Geophysics, 82(6), S411–S423.
    [Google Scholar]
  17. Rocha, D., Tanushev, N. & Sava, P. (2017) Anisotropic elastic wavefield imaging using the energy norm. Geophysics, 82(3), S225–S234.
    [Google Scholar]
  18. Wang, P., Gomes, A., Zhang, Z. & Wang, M. (2016) Least‐squares RTM: Reality and possibilities for subsalt imaging. In: SEG technical program expanded abstracts 2016. Houston, TX: Society of Exploration Geophysicists, pp. 4204–4209.
    [Google Scholar]
  19. Yang, J., Zhu, H., McMechan, G., Zhang, H. & Zhao, Y. (2019) Elastic least‐squares reverse time migration in vertical transverse isotropic media. Geophysics, 84(6), S539–S553.
    [Google Scholar]
  20. Zeng, C., Dong, S. & Wang, B. (2014) Least‐squares reverse time migration: Inversion‐based imaging toward true reflectivity. The Leading Edge, 33(9), 962–968.
    [Google Scholar]
  21. Zhang, Y., Duan, L. & Xie, Y. (2015) A stable and practical implementation of least‐squares reverse time migration. Geophysics, 80(1), V23–V31.
    [Google Scholar]
  22. Zhang, Y., Sun, J. & Gray, S. (2007) Reverse‐time migration: amplitude and implementation issues. In: SEG technical program expanded abstracts 2007. Houston, TX: Society of Exploration Geophysicists, pp. 2145–2149.
    [Google Scholar]
  23. Zhang, Y., Zhang, H. & Zhang, G. (2011) A stable TTI reverse time migration and its implementation. Geophysics, 76(3), WA3–WA11.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.13301
Loading
/content/journals/10.1111/1365-2478.13301
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): anisotropy; imaging; inversion; numerical study

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error