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.
Similar content being viewed by others
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.
Berryhill, J. R., and Kim, Y. C., 1986, Deep-water peg legs and multiples: Emulation and suppression: Geophysics, 51(12), 2177–2184.
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.
Donno, D., Chauris, H., and Noble, M., 2010, Curvelet-based multiple prediction: Geophysics, 75(6), 255263.
Donoho, D. L., 2006, Compressed Sensing: IEEE Trans inform theory, 52(4), 1289–1306.
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.
Dragoset, W. H., and Jeričević, Ž., 1998, Some remarks on surface multiple attenuation: Geophysics, 63(2): 772.
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.
Herrmann, F. J., and Hennenfent, G., 2008, Non-parametric seismic data recovery with curvelet frames: Geophysical Journal International, 173(1), 233–248.
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.
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.
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.
Liu, X. and Liu, Y., 2018. Plane-wave domain least-squares reverse time migration with free-surface multiples: Geophysics, 83(6), S477–S487.
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.
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.
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.
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.
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.
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
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
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.
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11770-019-0773-2