1887

Abstract

Summary

Shear waves travel in the subsurface at a lower speed compared with compressional waves. Therefore, much finer spatial sampling is required to properly record the shear waves. This leads to higher acquisition costs which are typically avoided by designing surveys geared towards only compressional waves imaging. We propose using randomly under-sampled ocean bottom acquisition designs for recording both compressional and shear waves. The recorded multicomponent data is then interpolated using an SVD-free low rank interpolation scheme that is feasible for large scale seismic data volumes to obtain finely sampled data. Following that, we perform elastic wavefield decomposition at the ocean bottom to recover accurate up- and dow-going S-waves. Synthetic data results indicate that using randomized under-sampled acquisition, we can recover accurate S-waves with an economical cost compared with conventional acquisition designs.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201700594
2017-06-12
2024-04-20
Loading full text...

Full text loading...

References

  1. Aki, K. and Richards, P.
    [2002] Quantitative Seismology. Geology (University Science Books).: Seismology. University Science Books.
    [Google Scholar]
  2. Alfaraj, A.M., Verschuur, D. and Wapenaar, K.
    [2015] Near-Ocean Bottom Wavefield Tomography for Elastic Wavefield Decomposition. SEG Technical Program Expanded Abstracts 2015, 2108–2112.
    [Google Scholar]
  3. Aravkin, A., Burke, J. and Friedlander, M.
    [2012] Variational Properties of Value Functions. submitted to SIAM J. Opt., arXiv:1211.3724.
    [Google Scholar]
  4. Berg, E. v. and Friedlander, M.P.
    [2008] Probing the Pareto frontier for basis pursuit solutions. SIAM Journal on Scientific Computing, 31(2), 890–912.
    [Google Scholar]
  5. Candès, E.J. and Wakin, M.B.
    [2008] An introduction to compressive sampling. IEEE signal processing magazine, 25(2), 21–30.
    [Google Scholar]
  6. Hennenfent, G. and Herrmann, F.J.
    [2006] Application of stable signal recovery to seismic data interpolation. SEG Technical Program Expanded Abstracts, 25, SEG, SEG, 2797–2801.
    [Google Scholar]
  7. [2008] Simply denoise: Wavefield reconstruction via jittered under-sampling. Geophysics, 73(3), V19–V28.
    [Google Scholar]
  8. Herrmann, F.J., Friedlander, M.P. and Yilmaz, O.
    [2012] Fighting the curse of dimensionality: compressive sensing in exploration seismology. Signal Processing Magazine, IEEE, 29(3), 88–100.
    [Google Scholar]
  9. Kabir, M.N. and Verschuur, D.
    [1995] Restoration of missing offsets by parabolic Radon transform1. Geophysical Prospecting, 43(3), 347–368.
    [Google Scholar]
  10. Kumar, R., Silva, C.D., Akalin, O., Aravkin, A.Y., Mansour, H., Recht, B. and Herrmann, F.J.
    [2015] Efficient matrix completion for seismic data reconstruction. Geophysics, 80(05), V97–V114. (Geophysics).
    [Google Scholar]
  11. Lee, J.D., Recht, B., Srebro, N., Tropp, J. and Salakhutdinov, R.R.
    [2010] Practical large-scale optimization for max-norm regularization. In: Advances in Neural Information Processing Systems. 1297–1305.
    [Google Scholar]
  12. Recht, B., Fazel, M. and Parrilo, P.
    [2010] Guaranteed Minimum Rank Solutions to Linear Matrix Equations via Nuclear Norm Minimization. SIAM Review, 52(3), 471–501.
    [Google Scholar]
  13. Recht, B. and Ré, C.
    [2013] Parallel stochastic gradient algorithms for large-scale matrix completion. Mathematical Programming Computation, 5(2), 201–226.
    [Google Scholar]
  14. Rennie, J.D.M. and Srebro, N.
    [2005] Fast maximum margin matrix factorization for collaborative prediction. In: Proceedings of the 22nd international conference on Machine learning, ICML ‘05. ACM, New York, NY, USA, 713–719.
    [Google Scholar]
  15. Stanton, A. and Sacchi, M.D.
    [2013] Vector reconstruction of multicomponent seismic data. GEOPHYSICS, 78(4), V131–V145.
    [Google Scholar]
  16. Stewart, R.R., Gaiser, J.E., Brown, R.J. and Lawton, D.C.
    [2003] Converted-wave seismic exploration: Applications. Geophysics, 68(1), 40–57.
    [Google Scholar]
  17. Thorbecke, J.W. and Draganov, D.
    [2011] Finite-difference modeling experiments for seismic interferometry. Geophysics, 76(6), H1–H18.
    [Google Scholar]
  18. Trad, D.O., Ulrych, T.J. and Sacchi, M.D.
    [2002] Accurate interpolation with highâĂŘresolution timeâĂŘvariant Radon transforms. GEOPHYSICS, 67(2), 644–656.
    [Google Scholar]
  19. Wapenaar, C. and Berkhout, A.
    [2014] Elastic Wave Field Extrapolation: Redatuming of Single- and Multi-Component Seismic Data. Advances in Exploration Geophysics. Elsevier Science.
    [Google Scholar]
  20. Zwartjes, P.M. and Sacchi, M.D.
    [2007] Fourier reconstruction of nonuniformly sampled, aliased seismic data. Geophysics, 72(1), V21–V32.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201700594
Loading
/content/papers/10.3997/2214-4609.201700594
Loading

Data & Media loading...

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