1887

Abstract

Summary

Multichannel Singular Spectrum Analysis reconstruction (also named Cadzow filter reconstruction) offers a solution to the seismic data completion problem. Unfortunately, the method requires data deployed on a regular grid. Then, to apply MSSA, one first assigns seismic traces to a regular geometry via binning. The resulting volume of data contains a large number of empty bins that are reconstructed via the MSSA. We propose a modification to MSSA to avoid having to deploy the input data into regular bins. The new algorithm, Interpolated MSSA (I-MSSA), honours the exact spatial position of the seismic traces and iteratively reconstruct the data into a regular grid. The algorithm also incorporates an anti-alias operator that is required by our examples for simultaneous regularization and interpolation of 3D data with aliased and irregular trace positions.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201901007
2019-06-03
2020-04-04
Loading full text...

Full text loading...

References

  1. Bolduc, E., Knee, G.C., Gauger, E.M. and Leach, J.
    [2017] Projected gradient descent algorithms for Quantum state tomography, npj Quantum information, 3(1), 44.
    [Google Scholar]
  2. Carozzi, F. and Sacchi, M.D.
    [2019] Robust tensor-completion algorithm for 5D seismic-data reconstruction. Geophysics, 84(2), 1–13.
    [Google Scholar]
  3. Chen, K. and Sacchi, M.D.
    [2015] Robust reduced-rank filtering for erratic seismic noise attenuation. Geophysics, 80, V1–V11
    [Google Scholar]
  4. Cheng, J. and Sacchi, M.D.
    [2016] Fast dual-domain reduced-rank algorithm for 3D deblending via randomized QR decomposition. Geophysics, 81(1), V89–V101.
    [Google Scholar]
  5. Ely, G., Aeron, S., Hao, N. and Kilmer, M.E.
    [2015] 5D seismic data completion and denoising using a novel class of tensor decompositions. Geophysics, 80(4), V83–V95.
    [Google Scholar]
  6. Gao, J., Stanton, A. and Sacchi, M.D.
    [2015] Parallel Matrix Factorization algorithm and its application to 5D seismic reconstruction and denoising. Geophysics, 80(6), V173–V187.
    [Google Scholar]
  7. Gulunay, N.
    [2003] Seismic trace interpolation in the Fourier transform domain. Geophysics, 68, 355–369.
    [Google Scholar]
  8. Herrmann, F.J.
    [2010] Randomized sampling and sparsity: Getting more information from fewer samples. Geophysics, 75(6), WB173–WB187.
    [Google Scholar]
  9. Jiang, T., Gong, B., Qiao, F, Jiang, Y., Chen, A., Hren, D. and Meng, Z.
    [2017] Compressive seismic reconstruction with extended POCS for arbitrary irregular acquisition. SEG Technical Program Expanded Abstracts 2017, Society of Exploration Geophysicists, 4212–4211.
    [Google Scholar]
  10. Kreimer, N. and Sacchi, M.D.
    [2012] A tensor higher-order singular value decomposition for prestack seismic data noise reduction and interpolation. Geophysics, 77(3), V113–V122.
    [Google Scholar]
  11. Kreimer, N., Stanton, A. and Sacchi, M.D.
    [2013] Tensor completion based on nuclear norm minimization for 5D seismic data reconstruction. Geophysics, 78(6), V273–V284.
    [Google Scholar]
  12. Kumar, R., Aravkin, A.Y., Mansour, H., Recht, B. and Herrmann, F.J.
    [2013] Seismic data interpolation and denoising using SVD-free low-rank matrix factorization. EAGE Annual Conference Proceedings.
    [Google Scholar]
  13. Li, C., Mosher, C., Keys, R., Janiszewski, F. and Zhang, Y.
    [2017] Improving streamer data sampling and resolution via nonuniform optimal design and reconstruction. SEG Technical Program Expanded Abstracts 2017, Society of Exploration Geophysicists, 4241–4245.
    [Google Scholar]
  14. Li, C., Mosher, C.C. and Kaplan, S.T.
    [2012] Interpolated compressive sensing for seismic data reconstruction. SEG Technical Program Expanded Abstracts, 1–6.
    [Google Scholar]
  15. Mosher, C., Kaplan, S. and Janiszewski, F.
    [2012] Non-uniform optimal sampling for seismic survey design. 74th EAGE Conference and Exhibition incorporating EUROPEC 2012.
    [Google Scholar]
  16. Naghizadeh, M.
    [2010] A unified method for interpolation and de-noising of seismic records in the f−k domain. SEG Technical Program Expanded Abstracts 2010, Society of Exploration Geophysicists, 3579–3583.
    [Google Scholar]
  17. Naghizadeh, M. and Sacchi, M.D.
    [2007] Multistep autoregressive reconstruction of seismic records. Geophysics, 72, V111–V118.
    [Google Scholar]
  18. [2013] Multidimensional de-aliased Cadzow Reconstruction of seismic records. Geophysics, 78(1), A1–A5.
    [Google Scholar]
  19. Oropeza, V. and Sacchi, M.D.
    [2011] Simultaneous seismic data denoising and reconstruction via multichannel singular spectrum analysis. Geophysics, 76(3), V25–V32.
    [Google Scholar]
  20. Sacchi, M.
    [2009] FX Singular Spectrum Analysis. CSPG CSEG CWLS Convention, 392–395.
    [Google Scholar]
  21. Spitz, S.
    [1991] Seismic trace interpolation in the F-X domain. Geophysics, 56, 785–794.
    [Google Scholar]
  22. Trickett, S.
    [2008] F-XY Cadzow noise suppression. SEG, Expanded Abstracts, 27, 2586–2590.
    [Google Scholar]
  23. Trickett, S. and Burroughs, L.
    [2009] Prestack rank-reducing noise suppression: Theory. SEG, Expanded Abstracts, 28, 3332–3336.
    [Google Scholar]
  24. Zwartjes, P. and Sacchi, M.D.
    [2007] Fourier reconstruction of nonuniformly sampled, aliased seismic data. Geophysics, 72, V21–V32.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201901007
Loading
/content/papers/10.3997/2214-4609.201901007
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