Vibrator Data Denoising Based on Fractional Wavelet Transform

• Autorzy: Zheng J. , Zhu G. , Liu M.

Identyfikatory

DOI

10.1515/acgeo-2015-0009

• Języki publikacji: EN

Abstrakty

EN

In this paper, a novel data denoising method is proposed for seismic exploration with a vibrator which produces a chirp-like signal. The method is based on fractional wavelet transform (FRWT), which is similar to the fractional Fourier transform (FRFT). It can represent signals in the fractional domain, and has the advantages of multi-resolution analysis as the wavelet transform (WT). The fractional wavelet transform can process the reflective chirp signal as pulse seismic signal and decompose it into multi-resolution domain to denoise. Compared with other methods, FRWT can offer wavelet transform for signal analysis in the timefractional- frequency plane which is suitable for processing vibratory seismic data. It can not only achieve better denoising performance, but also improve the quality and continuity of the reflection syncphase axis.

Słowa kluczowe

EN

seismic method; vibrator data; chirp signals; noise attenuation; fractional wavelet transform

PL

metoda sejsmiczna; wibracje; sygnały; tłumienie hałasu; transformata falkowa

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2015
• Tom: Vol. 63, no. 3
• Strony: 776--788
• Opis fizyczny: Bibliogr. 16 poz., rys.

Twórcy

autor

Zheng J.

• State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing, China
• College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing, China

autor

Zhu G.

• State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing, China
• College of Geoscience and Surveying Engineering, China University of Mining and Technology, Beijing, China

autor

Liu M.

• Pingxiang College, Pingxiang, China

Bibliografia

• [1] Bagaini, C. (2010), Acquisition and processing of simultaneous vibroseis data, Geophys. Prospect. 58, 1, 81-100, DOI: 10.1111/j.1365-2478.2009.00842.x.
• [2] Birgé, L., and P. Massart (1997), From model selection to adaptive estimation. In: D. Pollard, E. Torgersen, and G.L. Yang (eds.), Festschrift for Lucien Le Cam. Research Papers in Probability and Statistics, Springer, New York, 55-87, DOI: 10.1007/978-1-4612-1880-7_4.
• [3] Huang, Y., and B. Suter (1998), The fractional wave packet transform, Multidim. Syst. Signal Process. 9, 4, 399-402, DOI: 10.1023/A:1008414608970.
• [4] Jeffryes, B.P. (1996), Far-field harmonic measurement for seismic vibrators. In: 66th SEG Annual Meeting, 10-15 November 1996, Denver, USA, Expanded Abstracts, Society of Exploration Geophysicists, 60-63.
• [5] Kraniauskas, P., G. Cariolaro, and T. Erseghe (1998), Method for defining a class of fractional operations, IEEE Trans. Signal Process. 46, 10, 2804-2807, DOI: 10.1109/78.720382.
• [6] Mendlovic, D., Z. Zalevsky, D. Mas, J. García, and C. Ferreira (1997), Fractional wavelet transform, Appl. Optics 36, 20, 4801-4806, DOI: 10.1364/ AO.36.004801.
• [7] Meunier, J., and T. Bianchi (2002), Harmonic noise reduction opens the way for array size reduction in vibroseis operations. In: 72nd SEG Annual Meeting, 6-11 October 2002, Salt Lake City, USA, Expanded Abstracts, Society of Exploration Geophysicists, 70-73, DOI: 10.1190/1.1817354.
• [8] Miah, K.H., and M.D. Sacchi (2011), Fractional Fourier transform and its application in seismic signal processing. In: Proc. 73rd EAGE Conference and Exhibition incorporating SPE EUROPEC 2011, 1645-1649, DOI: 10.3997/2214-4609.20149189.
• [9] Morlet, J., G. Arens, E. Fourgeau, and D. Giard (1982), Wave propagation and sampling theory - Part II: Sampling theory and complex waves, Geophysics 47, 2, 222-236, DOI: 10.1190/1.1441329.
• [10] Ozaktas, H.M., O. Arikan, M.A. Kutay, and G. Bozdagt (1996), Digital computation of the fractional Fourier transform, IEEE Trans. Signal Process. 44, 9, 2141-2150, DOI: 10.1109/78.536672.
• [11] Pei, S.C., and J.J. Ding (2000), Closed-form discrete fractional and affine Fourier transforms, IEEE Trans. Signal Process. 48, 5, 1338-1353, DOI: 10.1109/78.839981.
• [12] Sallas, J.J., D. Corrigan, and K.P. Allen (1998), High fidelity vibratory source seismic method with source separation, United States Patent: 5721710A.
• [13] Shi, J., N. Zhang, and X. Liu (2012), A novel fractional wavelet transform and its applications, Sci. China Inf. Sci. 55, 6, 1270-1279, DOI: 10.1007/s11432-011-4320-x.
• [14] Steeghs, P. (1998), Wigner-Radon representations for 3-D seismic data analysis. In: Proc. IEEE-SP Int. Symp. on Time-Frequency and Time-Scale Analysis, 6-9 October 1998, Pittsburgh, USA, 433-436, DOI: 10.1109/TFSA.1998.721454.
• [15] Unser, M., and T. Blu (2000), Fractional splines and wavelets, SIAM Rev. 42, 1, 43-67, DOI: 10.1137/S0036144598349435.
• [16] Wood, J.C., and D.T. Barry (1994), Linear signal synthesis using the Radon-Wigner transform, IEEE Trans. Signal Process. 42, 8, 2105-2111, DOI: 10.1109/78.301845.