Journal of Jilin University(Earth Science Edition) ›› 2016, Vol. 46 ›› Issue (2): 594-602.doi: 10.13278/j.cnki.jjuese.201602303

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Attenuation Compensation Method of Seismic Wave in the Local Time-Frequency Transform Domain

Liu Yang, Li Bingxiu, Liu Cai, Chen Changle, Yang Xueting   

  1. GeoExploration of Science and Technology, Jilin University, Changchun 130026, China
  • Received:2015-05-18 Published:2016-03-26
  • Supported by:

    Supported by National Natural Science Foundation of China (41274119,41430322)and National High Technology Research and Development Program of China (2012AA09A2010)

Abstract:

Seismic signal will decay when spreading under the ground, which will decrease the resolution ratio of seismic data. The attenuation compensation of seismic wave is an important step in seismic datum processing. The proposed attenuation compensation method is based on the local time-frequency transform (LTFT) which allows the user to choose a range or sample interval of the frequency. As a result, it performs well in time-frequency analysis and solves the problem of fixed-windows STFT and the precise estimates of the frequency, which cannot be provided by expansion coefficients in a wavelet frame. The spectrum ratio method is widely used for its convenience and effectivity. Besides we choose the earth filtering operator based on the Kolsky attenuation model. The result of theoretical model and real data trials show that the seismic wave compensation method based on LTFT can compensate the attenuation of seismic signal especially in a deep stratum and improve the resolution of seismic data efficiently.

Key words: non-stationary signal, local time-frequency transform, attenuation compensation, spectrum ratio method

CLC Number: 

  • P631.4

[1] Hale D. An Inverse Q-Filter[R]. San Francisco:Stanford University, 1981:231-243.

[2] Futterman W I. Dispersive Body Waves[J]. Geophy-sics Res, 1962, 67(4):5279-5291.

[3] Bickel S H, Natarajan R R. Plane-Wave Q Deconvolution[J]. Geophysics, 1985, 50(9):1426-1439.

[4] Hargreaves N D, Calvert A J. Inverse Q Filtering by Fourier Transform[J]. Geophysics, 1991, 56(4):519-527.

[5] 裴江云, 何樵登. 基于Kjartansson模型的反Q滤波[J].地球物理学进展, 1994, 9(1):90-100. Pei Jiangyun, He Qiaodeng. Inverse Q Filtering According to Kjartansson Model[J]. Progress in Geophysics,1994, 9(1):90-100.

[6] Wang Yanghua. A Stable and Efficient Approach of Inverse Q Filtering[J]. Geophysics, 2002, 67(2):657-663.

[7] 刘财, 刘洋, 王典,等.一种频域吸收衰减补偿方法[J]. 石油物探, 2005, 44(2):116-118. Liu Cai, Liu Yang, Wang Dian, et al. A Method to Compensate Strata Absorption and Attenuation in Frequency Domain[J].Geophysical Prospecting for Petroleum, 2005, 44(2):116-118.

[8] Wang Y H. Inverse Q-Filter for Seismic Resolution Enhancement[J]. Geophysics, 2006, 71(3):51-60.

[9] Gladwin M T, Stacey F D. Anelastic Degradation of Acoustic Pulses in Rocks[J]. Phys Earth Plan Int, 1974, 8(4):332-336.

[10] Jannsen D, Voss J, Theilen F. Comparison of Methods to Determine Q in Shallow Marine Sediments from Vertical Reflection Seismograms[J]. Geophysical Prospecting, 1985, 23(4), 479-497.

[11] 王辉, 常旭, 刘尹克.时间域相邻道地震波衰减成像研究[J].地球物理学报,2001,44(3):396-403. Wang Hui, Chang Xu, Liu Yinke. Seismic Neighbo-ring Traces Attenuation Tomography in Time Domain[J]. Chinese Journal of Geophysics, 2001,44(3):396-403.

[12] Bath M. Spectral Analysis in Geophysics[M]. New York:Elsevier,1974.

[13] 冯晅, 张瑾, 刘财,等. 基于改进的Kolsky模型波场延拓公式的纵波Q值、横波Q值估计[J]. 吉林大学学报(地球科学版), 2014, 44(1):359-368. Feng Xuan, Zhang Jin, Liu Cai, et al. Estimation of P-and S-Wave Quality Factors Based on the Formula of the Wave-Field Continuation in Modified Kolsky Model[J]. Journal of Jilin University (Earth Science Edition), 2014, 44(1):359-368.

[14] Tonn R. The Determination of the Seismic Quality Factor Q from VSP Data:A Comparison of Different Computational Methods[J]. Geophysical Prospecting, 1991, 39(1):1-27.

[15] Tonn R. Comparison of Seven Methods for the Computation of Q[J]. Physics of the Earth and Planetary Interiors,1989,55(3):259-268.

[16] Gabor D. Theory of Communication[J]. Journal of the Institution, 1946, 93(26):429-441.

[17] Morlet J, Arens G, Fourgeau E, et al. Wave Propagation and Sampling Theory:Part I:Complex Signal and Scattering in Multilayered Media[J]. Geophy-sics, 1982, 47(2):203-221.

[18] Stockwell R G, Mansinha L, Lowe R P. Localization of the Complex Spectrum:The S Transform[J]. IEEE Transactions on Signal Processing, 1996, 44(4):998-1001.

[19] Liu Yang,Fomel Sergey. Seismic Data Analysis Using Local Time-Frequency Decomposition[J]. Geophysical Prospecting,2013,61(3):516-525.

[20] Kolsky H. The Propagation of Stress Pulses in Viscoelastic Solids[J]. Philosophical Magazine,1956,1(8):693-710.

[21] Fomel S. Shaping Regularization in Geophysical-Estimation Problems[J]. Geophysics, 2007, 72(2):R29-R36.

[22] Wang Y H. Seismic Inverse Q Filtering[M]. New York:Wiley-Black Well,2008:1-248.

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