基于宽带B样条子波的匹配追踪时频分解
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摘要
本文利用四参数宽带B样条子波的高分辨性和子波参数调节的灵活性,结合常规匹配追踪算法,实现了高精度的地震道自适应时频分解。应用理论模型,讨论了该方法的正确性和有效性,并与真实谱和Morlet小波匹配追踪做了对比,结果表明该算法计算的时频谱分辨率较高、时频定位性好。实际地震资料的应用效果表明,该方法计算的低频瞬时能量谱剖面可以较好地反映储层的非均质性,能够显现储层内部的细节信息,取得了良好的时频分解效果。
A new time-frequency decomposition method is implemented based on the general matching pursuit in virtue of the high resolution and the parameter-adjustment flexibility of wideband B-spline wavelet with four parameters.This paper discusses the accuracy and validity of the method through theoretic model data.The time-frequency spectrum calculated by this algorithm has higher resolution and better time-frequency localization than that calculated by Morlet wavelet.We apply it to the real seismic data successfully,and the low-frequency energy section calculated by this method can well reflect the reservoir heterogeneity and detail information in the reservoir.
A new time-frequency decomposition method is implemented based on the general matching pursuit in virtue of the high resolution and the parameter-adjustment flexibility of wideband B-spline wavelet with four parameters.This paper discusses the accuracy and validity of the method through theoretic model data.The time-frequency spectrum calculated by this algorithm has higher resolution and better time-frequency localization than that calculated by Morlet wavelet.We apply it to the real seismic data successfully,and the low-frequency energy section calculated by this method can well reflect the reservoir heterogeneity and detail information in the reservoir.
引文
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[2]Castagna J P,Sun S and Siegfried R W.Instantanousspectral analysis:Detection of low-frequency shadowsassociated with hydrocarbons.The Leading Edge,2003,22(2):120～127
[3]陈学华,贺振华,黄德济等.时频域油气储层低频阴影检测.地球物理学报,2009,52(1):215～221Chen Xuehua,He Zhenhua,Huang Deji et al.Lowfrequency shadow detection of gas reservoirs in time-frequency domain.Chinese Journal of Geophysics,2009,52(1):215～221
[4]陈学华,贺振华,黄德济.基于广义S变换的地震资料高效时频谱分解.石油地球物理勘探,2008,43(5):530～534Chen Xuehua,He Zhenhua,Huang Deji.High-effi-cient time-frequency spectrum decomposition of seis-mic data based on general S transform.OGP,2008,43(5):530～534
[5]Mushin J A.Structure-formation Interpretation ofSeismic Data.Nedro,Moscow,Russian,1990
[6]Qian S,Chen D.Signal representation via adaptivenormalized Gaussian functions.Signal Processing,1994,36(1):1～11
[7]Mallat S,Zhang Z.Matching pursuits with time-fre-quency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397～3415
[8]Rebollo N L,Lowe D.Optimized orthogonal matc-hing pursuit approach.IEEE Signal Process Let-ters,2002,9(2):137～140
[9]Capobianco E.Independent multiresolution compo-nent analysis and matching pursuit.ComputationalStatistics&Data Analysis,2003,42(3):385～402
[10]Andrle M,Neira R L and Sagianos E.Backward-opti-mized orthogonal matching pursuit approach.IEEESignal Processing Letters,2004,11(9):705～708
[11]Andrle M and Neira R L.A swapping-based refine-ment of orthogonal matching pursuit strategies.Sig-nal Processing,2006,86(3):480～495
[12]Liu J L,Han W,Li X.Time-frequency decompositionbased on Ricker wavelet.SEG Technical ProgramExpanded Abstracts,2004,23:1937～1940
[13]Liu J L,Marfurt J K.Matching pursuit decomposi-tion using Morlet wavelet.SEG Technical ProgramExpanded Abstracts,2005,24:786～789
[14]刘兰锋,曹思远,王鲁.四参数宽带B样条子波.石油地球物理勘探,2011,46(2):247～251Liu Lanfeng,Cao Siyuan,Wang Lu.Wideband B-spline wavelet with four parameters.OGP,2011,46(2):247～251
[15]Gribonval R.Fast matching pursuit with a multiscaledictionary of Gaussian chirps.IEEE Transactions onSignal Processing,2001,49(5):994～1001
[16]俞寿朋.宽带Ricker子波.石油地球物理勘探,1996,31(5):605～615Yu Shoupeng.Wide-band Ricker wavelet.OGP,1996,31(5):605～615
[2]Castagna J P,Sun S and Siegfried R W.Instantanousspectral analysis:Detection of low-frequency shadowsassociated with hydrocarbons.The Leading Edge,2003,22(2):120～127
[3]陈学华,贺振华,黄德济等.时频域油气储层低频阴影检测.地球物理学报,2009,52(1):215～221Chen Xuehua,He Zhenhua,Huang Deji et al.Lowfrequency shadow detection of gas reservoirs in time-frequency domain.Chinese Journal of Geophysics,2009,52(1):215～221
[4]陈学华,贺振华,黄德济.基于广义S变换的地震资料高效时频谱分解.石油地球物理勘探,2008,43(5):530～534Chen Xuehua,He Zhenhua,Huang Deji.High-effi-cient time-frequency spectrum decomposition of seis-mic data based on general S transform.OGP,2008,43(5):530～534
[5]Mushin J A.Structure-formation Interpretation ofSeismic Data.Nedro,Moscow,Russian,1990
[6]Qian S,Chen D.Signal representation via adaptivenormalized Gaussian functions.Signal Processing,1994,36(1):1～11
[7]Mallat S,Zhang Z.Matching pursuits with time-fre-quency dictionaries.IEEE Transactions on SignalProcessing,1993,41(12):3397～3415
[8]Rebollo N L,Lowe D.Optimized orthogonal matc-hing pursuit approach.IEEE Signal Process Let-ters,2002,9(2):137～140
[9]Capobianco E.Independent multiresolution compo-nent analysis and matching pursuit.ComputationalStatistics&Data Analysis,2003,42(3):385～402
[10]Andrle M,Neira R L and Sagianos E.Backward-opti-mized orthogonal matching pursuit approach.IEEESignal Processing Letters,2004,11(9):705～708
[11]Andrle M and Neira R L.A swapping-based refine-ment of orthogonal matching pursuit strategies.Sig-nal Processing,2006,86(3):480～495
[12]Liu J L,Han W,Li X.Time-frequency decompositionbased on Ricker wavelet.SEG Technical ProgramExpanded Abstracts,2004,23:1937～1940
[13]Liu J L,Marfurt J K.Matching pursuit decomposi-tion using Morlet wavelet.SEG Technical ProgramExpanded Abstracts,2005,24:786～789
[14]刘兰锋,曹思远,王鲁.四参数宽带B样条子波.石油地球物理勘探,2011,46(2):247～251Liu Lanfeng,Cao Siyuan,Wang Lu.Wideband B-spline wavelet with four parameters.OGP,2011,46(2):247～251
[15]Gribonval R.Fast matching pursuit with a multiscaledictionary of Gaussian chirps.IEEE Transactions onSignal Processing,2001,49(5):994～1001
[16]俞寿朋.宽带Ricker子波.石油地球物理勘探,1996,31(5):605～615Yu Shoupeng.Wide-band Ricker wavelet.OGP,1996,31(5):605～615
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