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APPLIED GEOPHYSICS  2012, Vol. 9 Issue (4): 451-458    DOI: 10.1007/s11770-012-0357-x
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L1 norm optimal solution match processing in the wavelet domain
Long Yun1, Han Li-Guo1, Han Li1, and Tan Chen-Qing1
1. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China.
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Abstract Greater attention has been paid to vintage-merge processing of seismic data and extracting more valuable information by the geophysicist. A match filter is used within many important areas such as splicing seismic data, matching seismic data with different ages and sources, 4-D seismic monitoring, and so on. The traditional match filtering method is subject to many restrictions and is usually difficult to overcome the impact of noise. Based on the traditional match filter, we propose the wavelet domain L1 norm optimal matching filter. In this paper, two different types of seismic data are decomposed to the wavelet domain, different detailed effective information is extracted for L1-norm optimal matching, and ideal results are achieved. Based on the model test, we find that the L1 norm optimal matching filter attenuates the noise and the waveform, amplitude, and phase coherence of result signals are better than the conventional method. The field data test shows that, with our method, the seismic events in the filter results have better continuity which achieves the high precision seismic match requirements.
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LONG Yun
HAN Li-Guo
HAN Li
TAN Chen-Qing
Key wordsWavelet transform   matching filter   L1 norm   waveform consistency     
Received: 2011-05-07;
Fund:

The research is sponsored by the Natural Science Foundation of China (No. 41074075) and Graduate Innovation Fund by Jilin University (No. 20121070).

Cite this article:   
LONG Yun,HAN Li-Guo,HAN Li et al. L1 norm optimal solution match processing in the wavelet domain[J]. APPLIED GEOPHYSICS, 2012, 9(4): 451-458.
 
[1] Chen, Q. S., 1993, Digital signal processing of principia mathematica: Petroleum Industry Press (in Chinese), China.
[2] Chen, S. S., Donoho, D. L., and Saunders, M. A., 2001, Atomic decomposition by basis pursuit: Society for Industrial and Applied Mathematics, 43(1), 129 - 159.
[3] Chen, J. X., Zhu, L. H., Yang, C. C., and Chen, J., 2004, Putting 3-D seismic data together based on wavelet transform: Oil Geophysical Prospecting (in Chinese), 39(4), 406 - 408.
[4] Herrmann, F. J., 2009, Curvelet-domain matched filtering: 79th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 3643 - 3649.
[5] Hu, C. H., Zhang, J. B., Xia, J., and Zhang, W., 1999, Based on MATLAB system analysis and design-wavelet analysis: Xi’an University of Electronics Science and Technology Press, Xi’an, China.
[6] Kalmanovitch, N., and Townsley, J., 2006, Using an interactive match filter to advance interpretetion: 76th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1068 - 1072.
[7] Lee, Y. W., 1960, Statistical theory of communication: John Wiley and Sons, New York.
[8] Mallat, S. G., 1989, A theory for multiresolution signal decomposition: The wavelet representation: IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(7), 674 - 693.
[9] Mallat, S., and Zhong, S. F., 1992, Characterization of signals from multiscale edges: IEEE Transactions on Pattern Analysis and Machine Intelligence, 14(7), 710 - 732.
[10] Robinson, E. A., 1957, Predictive decomposition of seismic traces: Geophysics, 22(4),767 - 778.
[11] Sun, Y., Jin, B., Qin Z., and Zhang, B., 2006, Thesignal de-noising method based on wavelet analysis:Acta Metrologica Sinica (In Chinese), 27(2), 153 - 155.
[12] Treitel, S., 1970, Principles of digital multichannel filtering: Geophysics, 35(5), 785 - 811.
[13] Vishwanath, M., 1994, The recursive pyramid algorithm for the discrete wavelet transform: IEEE Transactions on Signal Processing, 42(3), 673 - 676.
[14] Wang, Y. B., Zhu, Z. Y., and Jiang X. D., 2011, A pseudo-multichannel matching filter application to time-lapse seismic matching processing: Shenzhen 2011 International Geophysical Conference Technical Program Expanded Abstracts (in Chinese), 1803 - 1807.
[15] Wang, X. W., and Zhou, L. H., 2002, Wavelet transform used in the concatenation of 3-D seismic data sets: Geophysical Prospecting for Petroleum (in Chinese), 41(4), 448 - 451.
[16] Wang, Y. H., 2003, Multiple subtraction using an expanded multichannel matching filter: Geophysics, 68(1), 346 - 354.
[17] Weiner, N., 1949, Extrapolation, interpolation and smoothing of stationany time series: Wiley and Sons, New York.
[18] Wu, D. L, Jiang, Y., and Chen, Z. M., 2006, Application of cascade matched filtering in mixed source data processing: Geophysical Prospecting For Petroleum (in Chinese), 45(6), 611 - 614.
[19] Yan, J. P, and Herrmann, F. J., 2009, Groundroll prediction by interferometry and separation by curvelet-domain matched filtering: 79th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 3297 - 3301.
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