Skip to main content
Log in

Marchenko imaging based on self-adaptive traveltime updating

  • Seismic imaging
  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

Marchenko imaging obtains the subsurface reflectors using one-way Green’s functions, which are retrieved by solving the Marchenko equation. This method generates an image that is free of spurious artifacts due to internal multiples. The Marchenko imaging method is a target-oriented technique; thus, it can image a user specified area. In the traditional Marchenko method, an accurate velocity model is critical for estimating direct waves from imaging points to the surface. An error in the velocity model results in the inaccurate estimation of direct waves. In turn, this leads to errors in computation of one-way Green’s functions, which then affects the final Marchenko images. To solve this problem, in this paper, we propose a self-adaptive traveltime updating technique based on the principle of equal traveltime to improve the Marchenko imaging method. The proposed method calculates the time shift of direct waves caused by the error in the velocity model, and corrects the wrong direct wave according to the time shift and reconstructs the correct Green’s functions. The proposed method improves the results of imaging using an inaccurate velocity model. By comparing the results from traditional Marchenko and the new method using synthetic data experiments, we demonstrated that the adaptive traveltime updating Marchenko imaging method could restore the image of geological structures to their true positions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Baysal, E., Kosloff, D. D., and Sherwood, J. W. C., 1983, Reverse time migration: Geophysics, 48(11), 1514–1524.

    Article  Google Scholar 

  • Behura, J., Wapenaar, K., and Snieder, R., 2014, Autofocus imaging: Image reconstruction based on inverse scattering theory: Geophysics, 79(3), A19–A26.

    Article  Google Scholar 

  • Berkhout, A. J. 1982. Imaging of acoustic energy by wave field extrapolation (2nd edition): Elsevier, Amsterdam.

    Google Scholar 

  • Berkhout, A. J., 1997a, Pushing the limits of seismic imaging, part I: Prestack migration in terms of double dynamic focusing: Geophysics, 62(3), 937–953.

    Article  Google Scholar 

  • Berkhout, A. J., 1997b, Pushing the limits of seismic imaging, part II: Integration of prestack migration, velocity estimation, and AVO analysis: Geophysics, 62(3), 954–969.

    Article  Google Scholar 

  • Bishop, T. N., Bube, K. P., Cutler, R. T., Love, P. L., Resnick, J. R., Shuey, R. T., Spindler, D. A., and Wyld, H. W., 1985, Tomographic determination of velocity and depth in laterally varying media: Geophysics, 50(6), 903–923.

    Article  Google Scholar 

  • Brackenhoff, J., 2016, Rescaling of incorrect source strength using Marchenko Redatuming: M.Sc. thesis, TU Delft Repository, Delft University of Technology.

  • Broggini, F., and Snieder, R., 2012, Connection of scattering principles: A visual and mathematical tour: Eur. J. Phys. 33(3), 593–613.

    Article  Google Scholar 

  • Broggini, F., Snieder, R., and Wapenaar, K., 2012, Focusing the wavefield inside an unknown 1D medium: Beyond seismic interferometry: Geophysics, 77(5), A25–A28.

    Article  Google Scholar 

  • Broggini, F., Snieder, R., and Wapenaar, K., 2014, Data-driven wavefield focusing and imaging with multidimensional deconvolution: Numerical examples for reflection data with internal multiples: Geophysics, 79(3), WA107–WA115.

    Article  Google Scholar 

  • Chen, X. C., Hu, Y. Z., and Huang, X. R., 2018, Multi-virtual sources method in Marchenko imaging: SEG Seismic Imaging Workshop, Extended Abstracts, 72–75.

  • Claerbout, J. F., 1985, Imaging the earth’s interior: Blackwell Scientific Publication Inc., England.

    Google Scholar 

  • da Costa Filho, C. A., Ravasi, M., and Curtis, A., 2015, Elastic P- and S-wave autofocus imaging with primaries and internal multiples: Geophysics, 80(5), S187–S202.

    Article  Google Scholar 

  • Gray, S. H., and May, W. P., 1994, Kirchhoff migration using eikonal equation traveltimes: Geophysics, 59(5), 810–817.

    Article  Google Scholar 

  • Gray, S. H., and Bleistein, N., 2009, True-amplitude Gaussian beam migration: Geophysics, 74(2), S11–S23.

    Article  Google Scholar 

  • Hill, N. R., 1990, Gaussian beam migration: Geophysics, 55(9), 1416–1428.

    Article  Google Scholar 

  • Jin, Z. Y., Han, L. G., Hu, Y., Ge, Q. X., and Zhang, P., 2017, Low frequency information compensation based data-driven Marchenko imaging, Chinese J. Geophys, 60(9), 3601–3615.

    Google Scholar 

  • Kuang, W. K., Hu, T. Y., An, S. P., Cui, Y. F., and Peng, G. X., 2018, Internal multiples attenuation using Marchenko autofocusing: Progress in Geophysics, 33(6), 2347–2357.

    Google Scholar 

  • Marchenko, V. A., 1955, Reconstruction of the potential energy from the phases of the scattered waves: Doklady Akademii Nauk SSSR, 104, 695–698.

    Google Scholar 

  • McMechan, G. A., 1983, Migration by extrapolation of time-dependent boundary values: Geophysical Prospecting, 31(3), 413–420.

    Article  Google Scholar 

  • Kelamis, P. G., Erickson, K. E., Verschuur, D. J., and Berkhout, A. J., 2002, Velocity independent redatuming: A new approach to the near surface problem in land seismic data processing: The Leading Edge, 21(8), 730–735.

    Article  Google Scholar 

  • Schneider, W. A., 1978, Integral formulation for migration in two and three dimensions: Geophysics, 43(1), 49–76.

    Article  Google Scholar 

  • Slob, E., Wapenaar, K., Broggini, F., and Snieder, R., 2014, Seismic reflector imaging using internal multiples with Marchenko type equations: Geophysics, 79(2), S63–S76.

    Article  Google Scholar 

  • Stork, C., 1992, Reflection tomography in the postmigrated domain: Geophysics, 57(5), 680–692.

    Article  Google Scholar 

  • Thomsen, H., 2016, Investigating the robustness of Green’s function retrieval via Marchenko focusing and Seismic Interferometry: M.Sc. Thesis, ETH Zürich.

  • Thorbecke, J., 1997, Common Focus Point Technology. Ph.D. thesis, Delft University of Technology.

  • Thorbecke, J., Slob, E., Brackenhoff, J., van der Neut, J., and Wapenaar, K., 2017, Implementation of the Marchenko method: Geophysics, 82(6), WB29–Wb45.

    Article  Google Scholar 

  • van der Neut, J., Vasconcelos, I., and Wapenaar, K., 2015b, On Green’s function retrieval by iterative substitution of the coupled Marchenko equations: Geophysical Journal International, 203(2), 792–813.

    Article  Google Scholar 

  • van der Neut, J., Wapenaar, K., Thorbecke, J., Slob, E., and Vasconcelos, I., 2015c, An illustration of adaptive Marchenko imaging: The Leading Edge, 34, 818–822.

    Article  Google Scholar 

  • Wapenaar, K., Thorbecke, J., van der Neut, J., Slob, E., Broggini, F., Behura, J., and Snieder, R., 2012, Integrated migration and internal multiple elimination: 82th, Ann. Internat. Mtg., SEG, Expanded Abstracts, 1–5.

  • Wapenaar, K., Thorbecke, J., van der Neut, J., Broggini, F., Slob, E., and Snieder, R., 2014a, Green’s function retrieval from reflection data, in absence of a receiver at the virtual source position: The Journal of the Acoustical Society of America, 135(5), 2847–2861.

    Article  Google Scholar 

  • Wapenaar, K., Thorbecke, J., van der Neut, J., Broggini, F., Slob, E., and Snieder, R., 2014b, Marchenko imaging: Geophysics, 79(3), WA39–WA57.

    Article  Google Scholar 

Download references

Acknowledgements

I would like to thank the editorial department and the review experts for their valuable comments and suggestions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xu-Ri Huang.

Additional information

This research is supported by the National Natural Science Foundation of China (No. 41874167), the National Science and Technology Major Project of China (No. 2017YFB0202904), and the National Natural Science Foundation of China (No. 41904130).

Chen Xiao-Chun is a postgraduate student at Southwest Petroleum University. He is mainly en-gaged in seismic data processing and seismic migration imaging research.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, XC., Hu, YZ., Huang, XR. et al. Marchenko imaging based on self-adaptive traveltime updating. Appl. Geophys. 17, 81–91 (2020). https://doi.org/10.1007/s11770-019-0796-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-019-0796-8

Keywords

Navigation