基于改进Morlet小波的MP算法在地震频谱分析中的应用
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摘要
对地震信号的时频分析,Morlet小波是在时频联合域内具有最好分辨率的解析小波。介绍了基于Morlet小波的匹配追踪算法的原理,在此基础上改进了时频原子库,并增加了参数k来调节Morlet小波的带宽。对比了基于Morlet小波的匹配追踪(MP)算法与传统STFT时频分析方法,理论模型表明,该算法具有更高的时频分辨率;对某油田实际碳酸盐岩地震资料进行处理的结果表明,改进的Morlet小波匹配追踪时频算法对储层的刻画明显优于传统STFT方法。
In the analysis of the instantaneous frequency of seismic signals,Morlet wavelet provides the best resolution ratio in symphysial area.This paper introduces the theory of matching pursuit algorithm on the basis of Morlet wavelet,and further improves the time frequency atom dictionary.Besides,the parameter is added to adjust the bandwidth of Morlet wavelet.The comparison of the theory of matching pursuit algorithm on the basis of morlet wavelet with the traditional STFT method with a theory model indicates that the former has a higher resolution ratio for the instantaneous frequency.The actual seismic data processing of carbonate rocks in southern Tahe Oilfield confirms that the modified Morlet wavelet method of matching pursuit time-frequency characterization of the reservoir is prominently better than STFT method.
In the analysis of the instantaneous frequency of seismic signals,Morlet wavelet provides the best resolution ratio in symphysial area.This paper introduces the theory of matching pursuit algorithm on the basis of Morlet wavelet,and further improves the time frequency atom dictionary.Besides,the parameter is added to adjust the bandwidth of Morlet wavelet.The comparison of the theory of matching pursuit algorithm on the basis of morlet wavelet with the traditional STFT method with a theory model indicates that the former has a higher resolution ratio for the instantaneous frequency.The actual seismic data processing of carbonate rocks in southern Tahe Oilfield confirms that the modified Morlet wavelet method of matching pursuit time-frequency characterization of the reservoir is prominently better than STFT method.
引文
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[13]才巨宏,顾汉明,邹文.S-变换时频技术在碳酸盐岩孔洞储层预测中的应用[J].地质科技情报,2005,24(4):111-113.
[2]Gao J,Chen W,Li Y,et al.Generalized S-transform and seis-mic response analysis of thin interbeds[J].Chinese Journal ofGeophysics,2003,46(4):526-532.
[3]Pinnegar C R,Mansinha L.The S-transform with windows ofarbitrary and varying shape[J].Geophysics,2003,68(1):381-385.
[4]Castagna J P,Sun S J,Siegfried R W.Instantaneous spectralanalysis:Detection of low-frequency shadows associated withhydrocarbons[J].The Leading Edge,2003,22(3):120-127.
[5]Sinha S,Routh P S,Anno P D,et al.Spectral decompositionof seismic data with continuous-wavelet transform[J].Geo-physics,2005,70(6):19-25.
[6]Kuang Lichun,Xia Huiping,Yang Disheng.General methodto reduce cross-term interference in the Wigner-Ville Decompo-sition[C]∥Anon.SEG 2007Expanded Abstracts.[S.l.]:[s.n.],2007:870-874.
[7]Rauch-Davies M,Ralston M.Spectral decomposition-trans-form methods and fluid and reservoir prediction case study[C]∥Anon.EAGE 67th Conference and Exhibition.[S.l.]:[s.n.],2005:107-110.
[8]Li Y,Zheng X.Spectral decomposition using Wigner-Villedistribution with applications to carbonate reservoir character-ization[J].The Leading Edge,2008,27(8):1050-1057.
[9]Wu X,Liu T.Spectral decomposition of seismic data with re-assigned smoothed pseudo Wigner-Ville distribution[J].Jour-nal of Applied Geophysics,2009,68(3):386-393.
[10]Liu J,Marfurt K J.Matching pursuit decomposition usingMorlet wavelets[C]∥Anon.75th SEG technical program ex-panded.Vol.24.[S.l.]:[s.n.],2005:786-789.
[11]Wang Y.Seismic time-frequency spectral decomposition bymatching pursuit[J].Geophysics,2007,72(1):13-20.
[12]刘天佑,盛秋红,杨宇山,等.复小波频谱分析在地震数据处理中的应用[J].石油地球物理勘探,2007,8(增刊):72-75.
[13]才巨宏,顾汉明,邹文.S-变换时频技术在碳酸盐岩孔洞储层预测中的应用[J].地质科技情报,2005,24(4):111-113.
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