Skip to main content
Log in

Mixed Cadzow filtering method in fractional Fourier domain

  • Published:
Applied Geophysics Aims and scope Submit manuscript

Abstract

Conventional frequency domain singular value decomposition (SVD) filtering method used in random noise attenuation processing causes bending event damage. To mitigate this problem, we present a mixed Cadzow filtering method based on fractional Fourier transform to suppress random noise in 3D seismic data. First, the seismic data is transformed to the time-frequency plane via the fractional Fourier transform. Second, based on the Eigenimage filtering method and Cadzow filtering method, the mixed high-dimensional Hankel matrix is built; then, SVD is performed. Finally, random noise is eliminated effectively by reducing the rank of the matrix. The theoretical model and real applications of the mixed filtering method in a region of Sichuan show that our method can not only suppress noise effectively but also preserve the frequency and phase of effective signals quite well and significantly improve the signal-to-noise ratio of 3D post-stack seismic data.

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

  • Almeida, L. B., 1994, The fractional fourier transform and time-frequency representations: IEEE Trans. Signal Processing, 42(11), 3084–3091.

    Google Scholar 

  • Cadzow, J. A., 1988, Signal enhancement: A Composite Property Mapping Algorithm: IEEE Trans. On Acoustics, Speech, and Signal Processing, 36(1), 49–62.

    Article  Google Scholar 

  • Cui, S. G., Zhu, L.Y., and Wang, J. H., 2012, Random noise attenuation with cadzow technique in F-X domain and its application: Geophysical Prospecting for Petroleum (in Chinese), 51(1), 43–50.

    Google Scholar 

  • Hornbostel, S., 1991, Spatial prediction filtering in the T-X and F-X domains: Geophysics, 56(1), 2019–2026.

    Article  Google Scholar 

  • Liu, Y. F., Zou, S. S., and Ju, X. G., 2017, Seismic random noise self-adaptive attenuation method based on K-L transform in the contourlet-domain: Geophysical Prospecting for Petroleum (in Chinese), 56(5), 676–683.

    Google Scholar 

  • Liu, Z. P., Zhao, W., Chen, X. H., et al., 2012, Local SVD for random noise suppression of seismic data in frequency domain: Oil Geophysical Prospecting (in Chinese), 7(2), 202–206.

    Google Scholar 

  • Montana, C. A., and Margrave, G. F., 2004, Spatial prediction filtering in fractional fourier domains: 72th Annual International Meeting, SEG, Expanded Abstracts, 241–244.

    Google Scholar 

  • Namias V., 1980, The fractional order fourier transform and its application to quantum mechanics: J. Inst.Maths. Applics, 25(3), 241–265.

    Article  Google Scholar 

  • Ozaktas, H. M., Arikan, O., Alper Kutay, M. A., and Bozdagi, G., 1996, Digital computation of the fractional fourier transform: IEEE Transactions on Signal Processing, 44(9), 2141–2150.

    Article  Google Scholar 

  • Trickett, S., 2002, F-x eigenimage noise suppression: 72th Annual International Meeting, SEG, Expanded Abstracts, 2166–2169.

    Google Scholar 

  • Trickett, S., 2003, F-xy eigenimage noise suppression: Geophysics, 68(2), 751–759.

    Article  Google Scholar 

  • Trickett, S., 2008, F-xy cadzow noise suppression: 78th Annual International Meeting, SEG, Expanded Abstracts, 2586–2590.

    Google Scholar 

  • Trickett, S., 2012, Robust rank-reduction filtering for erratic noise: 70th Annual International Meeting, SEG, Expanded Abstracts, 129–132.

    Google Scholar 

  • Ulrych, T. J., Sacchi, M. D., and Freire, S. L. M., 1999, Eigenimage processing of seismic sections: 67th Annual International Meeting, SEG, Expanded Abstracts, 241–274.

    Google Scholar 

  • Xu, Y. K., Cao, S. Y., and He, Y., 2017, Prestack seismic random noise attenuation with a hyperbolic radon ASVD: Oil Geophysical Prospecting (in Chinese), 52(3), 451–457.

    Google Scholar 

  • Yuan, S. Y., and Wang, S. X., 2011, A local f-x cadzow method for noise reduction of seismic data obtained in complex formations: Petroleum Science (in Chinese), 8(3), 269–277.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhong-Lin Cao.

Additional information

This research work was sponsored by the major science and technology special topic of CNPC (No. 2013E-38-08).

Cao Zhong-Lin received his Master’s degree from China University of Geosciences in 2007. He is currently a Senior Engineer in the BGP. His research interests are seismic signal processing and software development.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cao, ZL., Cao, JX., Wu, FR. et al. Mixed Cadzow filtering method in fractional Fourier domain. Appl. Geophys. 15, 271–279 (2018). https://doi.org/10.1007/s11770-018-0677-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11770-018-0677-6

Keywords

Navigation