基于分数阶Wigner-Ville分布的地震信号谱分解  

Spectral decomposition of seismic signal based on fractional Wigner-Ville distribution

作　　者：张晓燕[1] 彭真明[1] 张萍[1] 何艳敏[1] 田琳[1] 

机构地区：[1]电子科技大学光电信息学院,四川成都610054

出　　处：《石油地球物理勘探》2014年第5期839-845,817,共7页Oil Geophysical Prospecting

基　　金：国家自然科学基金项目(41274127;41301460;40874066);中国博士后科学基金项目(2013M531946)联合资助

摘　　要：本文将经典Wigner-Ville分布(WVD)拓展到分数阶Wigner-Ville分布(FrWVD),并将其引入到复杂地震信号的时频分析和谱分解中。利用分数阶傅里叶变换的旋转特性和广义时频带宽积理论可以获得比经典WVD更高的时频分辨率,提出的最优分数阶伪WVD能更好地解决交叉项抑制问题。理论信号仿真及实际地震资料的处理结果验证了该方法的有效性。同时,分数域频谱成像的引入为油气储层流体识别提供了一条新的途径。We expand in this paper the classical Wigner-Ville distribution(WVD)to the fractional WignerVille distribution(FrWVD),and then introduce the FrWVD into time-frequency analysis and spectrum decomposition of complex seismic signals.Using the rotation property of the fractional Fourier transform(FrFT)and the theory of generalized time bandwidth product(GTBP),this approach can obtain the time-frequency representation with much higher resolution than the classical WVD.The proposed optimal fractional pseudo WignerVille distribution can much better solve cross term suppression problems.Test results on model and real data demonstrate the effectiveness of the proposed approach.Meanwhile,spectral imaging in the fractional domain may provide a new way for hydrocarbon reservoir fluid identification.

关 键 词：分数阶Wigner-Ville分布 最优分数阶伪Wigner-Ville分布 交叉项抑制 时频谱分解 

分 类 号：P631[天文地球—地质矿产勘探]