Application of a Wavelet Extension De-Noising Method in Seismic Data Processing

Abstract:

A new wavelet extension de-noising (WED) method is proposed in this paper. The basic principle is derived in detail. We have removed the high frequency noise in seismic data based on the suppressing detail components method, Fourier transform filtering method, WED method and reconstructing the 5th layer approximate coefficient method respectively, and the results show that the WED method can more effectively restrain noise than the other methods.

• Periodical: Advanced Materials Research (Volumes 622-623)
• Pages: 1670-1673
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.622-623.1670
• Online since: December 2012
• Authors: Ye Wu, Bo Zhang, Jia Wei
• Keywords: Extension, Seismic Data, Signal De-Noising, Wavelet Transform (WT)

References

[1] Daubechies I, Ten lectures on Wavelets. CBMS-NSF Regional Conference Series in Applied Mathematics 61, SIAM, Philadelphia, PA, (1992).

DOI: 10.1006/jath.1994.1093

[2] Daubechies I, Orthonormal bases of commpactly supported wavelets, Comm Pure and Appl Math, 41(7), (1988), pp: 909-1005.

DOI: 10.1002/cpa.3160410705

[3] Mallat S, Hwang W L. Singularity detection and processing with wavelet IEEE Trans. on Information Theory, 38(2), (1992), pp: 617-693.

[4] Mallat S, A Theory for Multiresolution of Signal Decomposition: The Wavelet Representation. IEEE Trans. PAMI, 11(7), (1989), pp: 674-693.

DOI: 10.1109/34.192463

[5] Huanxiang Xu, Qingyun Shi, MinDe Chen, Dyadic Wavelet Transform Wu's Method and its Application to image processing and Computer vision. Outstanding doctor's paper (1999).

[6] Shu Li, Yucheng Shi, Yuankun Huo, Yan Tang, Based on the MATLAB seismic signal wavelet noise reduction, Gansu science and technology , 26(15), (2010), pp: 54-55.

[7] Jun Meng, Tongli Wei, Jin Wu, Changyuan Chang, Digital image of discrete wavelet transform principle and hardware implementation analysis, Journal of southeast university (natural science edition), 32(6), (2002), pp: 842-847.

[8] Huiqin Wang, Wavelet analysis and application. Beijing: press of Beijing university of posts and telecommunications, (2011).

[9] Junhua Zhang, Youxi Le, The wavelet transform and the fractal properties in the improvement of seismic data of the application of the resolution. Geophysical prospecting for Petroleum, 36(3), (1997), pp: 13-17.

[10] Zhexue Ge, Wei Sha. The theory of wavelet analysis and MATLAB2007 realized. Beijing: publishing house of electronics industry, (2007).

[11] Hui Cao, Ming Lai, Shaoliang Bai. Suitable for earthquake engineering signal analysis fast wavelet transform method research. Engineering mechanics, 19(4), (2002), pp: 142-148.

[12] Jingguang Ceng, Yaqin Shu, Yong Zhong, Fractal and chaos characteristics of seismic data, Petroleum geophysical exploration, 30(6), (1995), 743-748.