基于分数阶Fourier变换的声波测井全波列特征时频分析  

Time-Frequency Analysis for Full Waveform Characteristics of Acoustic Logging Based on Fractal Fourier Transform

作　　者：王祝文[1] 向旻[1] 刘菁华[1] 王晓丽[1,2] 张雪昂[1] 杨闯[1] 

机构地区：[1]吉林大学地球探测科学与技术学院,长春130026 [2]吉林大学学报编辑部,长春130026

出　　处：《吉林大学学报（地球科学版）》2012年第5期1553-1559,1570,共8页Journal of Jilin University：Earth Science Edition

基　　金：国家自然科学基金项目(40874059)

摘　　要：目前,阵列声波测井信号处理大多在时间域或频率域中进行。但是,单纯的时间域或频率域方法有很大的局限性。为了打破这些局限性,笔者将分数阶Fourier变换方法用于阵列声波测井信号的分析之中,研究了不同性质储集层中信号幅度随分数阶Fourier变换阶数变化的规律。实验结果表明:在干层,幅度呈'1'型分布;在水层,幅度呈'Y'型分布,'Y'的两支开口较小,在阶数大于0.3的区域中,幅度较大;在油层,幅度呈'Y'型分布,'Y'的两支开口较大,在阶数大于0.6的区域中,幅度较大。因此,分数阶Fourier变换在提取阵列声波测井蕴含的储集层流体性质信息方面具有很好的前景。As we knew, most of the process techniques for array acoustic logging data still use the analysis methods only in either time domain or frequency domain, but these methods all have obvious limitation for signal analysis. In order to break these limitations, the authors used the fratal Fourier for analysing the array acoustic logging signals and researching the law of signal amplitude variation with the order of the fratal Fourier transform variation in different kinds of reservoirs. As the results, in the dry formation, amplitude shows ＂1＂ type distribution~ In water formation, amplitude shows ＂Y＂ type distribution, two branch of ＂Y＂ open narrow and in area of order greater than 0.3, amplitude is largerl In oil formation, amplitude shows ＂Y＂ type distribution, two branch of ＂Y＂ open wide and in area of order greater than 0.6, amplitude is larger. So the fratal Fourier transform have very good prospect for extracting the reservoir liquid properties information embedded in the array acoustic logging data.

关 键 词：分数阶FOURIER变换 阵列声波测井 储集层 流体性质 信息提取 

分 类 号：P631.8[天文地球—地质矿产勘探]