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.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
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
