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Multiple wave prediction and suppression based on L0-norm sparsity constraint

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Abstract

Multiple wave is one of the important factors affecting the signal-to-noise ratio of marine seismic data. The model-driven-method (MDM) can effectively predict and suppress water-related multiple waves, while the quality of the multiple wave contribution gathers (MCG) can affect the prediction accuracy of multiple waves. Based on the compressed sensing framework, this study used the sparse constraint under L0 norm to optimize MCG, which can not only reduce the false in the prediction and improve the image accuracy, but also saves computing time. At the same time, the MDM-type method for multiple wave suppression can be improved. The unified prediction of multiple types of water-related multiple waves weakens the dependence of conventional MDM on the adaptive subtraction process in suppressing water-related multiple waves, improves the stability of the method, and simultaneously, reduces the computational load. Finally, both theoretical model and practical data prove the effectiveness of the present method.

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References

  • Berkhout, A. J., and Verschuur, D. J., 1997, Estimation of multiple scattering by iterative inversion, part I: theoretical considerations: Geophysics, 62(5), 1586–1595.

    Article  Google Scholar 

  • Berryhill, J. R., and Kim, Y. C., 1986, Deep-water peg legs and multiples: Emulation and suppression: Geophysics, 51(12), 2177–2184.

    Article  Google Scholar 

  • Bienati, N., Mazzucchelli, P., and Codazzi, M., 2012, 3D-SRME antialiasing in the multiple contribution gather domain: 74th EAGE Conference and Exhibition, Y009.

  • Candès, E. J., Romberg, J. K., and Tao, T., 2006, Stable signal recovery from incomplete and inaccurate measurements: Communications on Pure and Applied Mathematics, 59(8), 410–412.

    Article  Google Scholar 

  • Donno, D., Chauris, H., and Noble, M., 2010, Curvelet-based multiple prediction: Geophysics, 75(6), 255263.

    Article  Google Scholar 

  • Donoho, D. L., 2006, Compressed Sensing: IEEE Trans inform theory, 52(4), 1289–1306.

    Article  Google Scholar 

  • Dragoset, B., 1999, A practical approach to surface multiple attenuation: 69th Annual International Meeting, SEG. Expanded Abstracts, 104–108.

  • Dragoset, B., Verschuur, E., Moore, I., et al., 2010, A perspective on 3D surface-related multiple elimination: Geophysics, 75(5), A245–A261.

    Article  Google Scholar 

  • Dragoset, W. H., and Jeričević, Ž., 1998, Some remarks on surface multiple attenuation: Geophysics, 63(2): 772.

    Article  Google Scholar 

  • Elad M., 2010, Sparse and redundant representations: from theory to applications in signal and image processing: Springer Science & Business Media.

  • Gu Y, Goodman N A, Hong S, et al. 2014, Robust adaptive beamforming based on interference covariance matrix sparse reconstruction: Signal Processing, 96(5): 375–381.

    Article  Google Scholar 

  • Herrmann, F. J., and Hennenfent, G., 2008, Non-parametric seismic data recovery with curvelet frames: Geophysical Journal International, 173(1), 233–248.

    Article  Google Scholar 

  • Kelamis, P. G., and Verschuur, D. J., 2000, Surface-related multiple elimination on land seismic data-strategies via case studies: Geophysics, 65(3), 719–734.

    Article  Google Scholar 

  • King, S., and Poole, G., 2014, Water-layer Demultiple Using Separated Wavefields From Variable-depth Streamer Data: 76th EAGE Annual Meeting, Expanded Abstracts

  • Lokshtanov, D., 2003, Suppression of multiples from complex sea-floor by a wave-equation approach: 65th EAGE Conference & Technical Exhibition, Stavanger 2–5 June, Norway.

  • Li, Z. N., Li, Z. C., Peng, W., et al, 2013, Multiple attenuation using λ-f domain high-resolution Radon transform: Applied Geophysics, 10(4), 433–441.

    Article  Google Scholar 

  • Liu S, Gu H, Han B, Yan Z, Liu D, Cai J, 2018, Band-Limited Beam Propagator and its Application to Seismic Migration: Geophysics, 83(4), S311–S319.

    Article  Google Scholar 

  • Liu, X. and Liu, Y., 2018. Plane-wave domain least-squares reverse time migration with free-surface multiples: Geophysics, 83(6), S477–S487.

    Article  Google Scholar 

  • Liu, Y., Chang, X., Jin, D., He, R., Sun, H., and Zheng, Y., 2011, Reverse time migration of multiples for subsalt imagingRTM of multiples: Geophysics, 76(5), WB209–WB216.

    Article  Google Scholar 

  • Moore, I., and Bisley, R., 2006, Multiple attenuation in shallow-water situations: 68th EAGE Conference & Exhibition, F018.

  • Poole, G., Cooper, J, 2015, Inversion-driven free surface multiple modelling using multiple-order Green’s Functions: 85th SEG Annual International Meeting, Expanded Abstracts, 4428–4432.

  • Pang, T., Lu, W., Ma, Y., 2009, Adaptive multiple subtraction using a constrained L 1-norm method with lateral continuity: Applied Geophysics, 6(3), 241–247.

    Article  Google Scholar 

  • Sun, W. Q., and Wang, H. Z., 2014, Model-based water-layer-related demultiple with sparse constraints: 84th Annual Meeting, SEG, Expanded Abstracts, 4152–4156.

  • Verschuur, D. J., Wang, D. L., and Herrmann, F. J., 2007, Multi-term multiple prediction using separated reflections and diffractions combined with curvelet-based subtraction: 77th SEG Annual International Meeting, Expanded Abstracts, 3124.

  • Verschuur, D. J., Berkhout, A. J., and Wapenaar, C. P. A., 1992, Adaptive surface-related multiple elimination, Geophysics, 57(9), 1166–1177.

    Article  Google Scholar 

  • Wang, P., Jin, H. Z., Xu, S., and Zhang, Y., 2011, Model-based water-layer demultiple: 81st Annual International Meeting, SEG, Expanded Abstracts, 3551–3555.

  • Wiggins, J. W., 2012, Attenuation of complex waterbottom multiples by wave-equation-based prediction and subtraction: Geophysics, 53(12), 1527–1539.

    Article  Google Scholar 

  • Wang, X. W., Wang, H. Z., 2014, A research of highresolution plane-wave decomposition based on compressed sensing: Chinese Journal of Geophysics, 57(9), 2946–2960.

    Google Scholar 

  • Verschuur, D. J., and A. J. Berkhout, 1997, Estimation of multiple scattering by iterative inversion. Part II: Practical aspects and examples: Geophysics, 62, 1596–1611

    Article  Google Scholar 

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Acknowledgements

This research was supported by the National Natural Science Foundation of China (41702168, 41604047, 51408222) and the High-level Talents Start-up Project of North China University of Water Resources and Electric power (No. 40438). We thank all reviewers and editor for their valuable comments.

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Correspondence to Xiao-Chun Lv.

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This work was supported by the National Natural Science Foundation of China (No. 41504102) and the High-level Talents Initiation Project of North China University of Water Resources and Electric Power (No. 40438).

Lv Xiao-Chun Ph.D. graduated from China University of Geology (Wuhan) in 2014 with a major in Earth Exploration and Information Technology, is now a lecturer in the college of Geosciences and Engineering, North China University of Water and Electric Power and is mainly engaged in the study of seismic data processing. forward modeling of seismic wave equation and seismic observation system design methods.

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Lv, XC., Zou, MJ., Sun, CX. et al. Multiple wave prediction and suppression based on L0-norm sparsity constraint. Appl. Geophys. 16, 483–490 (2019). https://doi.org/10.1007/s11770-019-0773-2

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  • DOI: https://doi.org/10.1007/s11770-019-0773-2

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