Hilbert变换在物探领域的应用现状概述
|
摘要
从物探领域将Hilbert变换应用于复数信号分析至今,Hilbert变换不论是从理论算法上还是应用领域上都得到了很大的改进和扩展,已成为物探领域资料分析处理的主要手段之一。本文主要回顾30多年来Hilbert变换在物探领域的发展历程,在此基础上,总结出其理论和应用上的缺陷以及主要面临的问题,并提出了可能的解决方案。
Hilbert transform has been greatly improved and expanded and became one of the primary means of data analysis and processing since it was applied to complex signal analysis.Based on the review of the development of Hilbert transform applied in Geophysical prospecting,the main problems and defects as well as the possible solutions on the theory and application of Hilbert transform are proposed in this paper.
Hilbert transform has been greatly improved and expanded and became one of the primary means of data analysis and processing since it was applied to complex signal analysis.Based on the review of the development of Hilbert transform applied in Geophysical prospecting,the main problems and defects as well as the possible solutions on the theory and application of Hilbert transform are proposed in this paper.
引文
[1]John S Farnbach.The complex envelope in seismic signal analysis[J].Bulletin of the Seismological of America,1975,65(4):951～962.
[2]汪璇,曹万强.Hilbert变换及其基本性质分析[J].湖北大学学报,2008,30(1):53～55.
[3]Gabor D.Theory of communication[J].JIEE,1946(93):429～457.
[4]C víek.V.Discrete Hilbert Transform[J].IEEE,1970,18(4):340～343.
[5]M T Taner,F Koehler,R E Sheriff.Complex seis-mic trace analysis[J].Geophysics,1979,44(6):1041～1063.
[6]程乾生.希尔伯特变换与信号的包络、瞬时相位和瞬时频率[J].石油地球物理勘探,1979,14(3):1～14.
[7]熊翥.地震记录道的振幅包络、瞬时相位、瞬时频率[J].石油物探,1980,01:83～92.
[8]贺振华.地震波复数道分析的计算方法.石油物探,1980,04:64～80.
[9]James D Robertson,David A Fisher.Complex seismic trace attributes[J].The Leading Edge,1988:22～26.
[10]刘财,周辉杨,宝俊.高分辨率复数道分析方法[J].石油地球物理勘探,1995,30(1):24～28.
[11]刘洪林,周磊.希尔伯特变换在测井资料数据处理中的应用[J].大庆石油学院学报,1998,22(3):9～11.
[12]韦宏鹄,杨顺安.探地雷达波的相位参数及其应用[J].地质科技情报,1999,18(1):102～104.
[13]王军民,陈义群,陈华.高速公路锚杆锚固质量无损检测技术研究[J].地球物理学进展,2004,19(4):782～785.
[14]高静怀,陈凤,陈树民.利用地震瞬时谱属性进行薄互层分析[J].煤田地质与勘探,2005,33(3):67～70.
[15]冯智慧.高分辨率复数道分析方法在油藏描述中的应用[D].吉林:吉林大学,2007.
[16]YI LUO,SALEH AL-DOSSARY,MAHER MARHOON.Generalized Hilbert transform and its applications in geophysics[J].The Leading Edge,2003,22(3):198～202.
[17]余辉,曹景忠.加窗希尔伯特(Hilbert)变换[C].中国地球物理学会,2003:450.
[18]何建军,贺振华,黄德济.广义希尔伯特变换及其应用研究[C].中国地球物理学会,2003:448～449.
[19]杨伟刚.基于地震波衰减属性的主参数分析研究[D].成都:成都理工大学,2007.
[20]谢静.基于时间域加窗Hilbert变换的地震边缘检测研究[D].成都:成都理工大学,2007.
[21]Arthur E Barnes.Instantaneous frequency and am-plitude at the envelope Peak of a constant-Phase wavelet[J].Geophysics,1991,56(7):1058～1060.
[22]Jamas D R,Henry H N.Complex seismic trace analy-sis of thin beds[J].Geophysics,1984,49(4):34～352.
[23]John H Bradford,Lee M Liberty,David F Dickins.Oil exploration at less than2mdepth:instantaneous attribute analysis of ground-Penetrating radar data for detection of crude oil under sea ice[A].SEG Ex-panded Abstracts24,2005:1113～111.
[24]宋洪勇.分数阶希尔伯特变换及其在地震沉积学中的应用[D].成都:成都理工大学,2011.
[25]Huang N E,Shen Z,Steven R L.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc R Soclond,Series A,1998,454:903～995.
[26]李彦军,胡祥云,何展祥.HHT变换在地球物理中的应用现状及前景[J].工程地球物理学报,2010,7(5):537～543.
[2]汪璇,曹万强.Hilbert变换及其基本性质分析[J].湖北大学学报,2008,30(1):53～55.
[3]Gabor D.Theory of communication[J].JIEE,1946(93):429～457.
[4]C víek.V.Discrete Hilbert Transform[J].IEEE,1970,18(4):340～343.
[5]M T Taner,F Koehler,R E Sheriff.Complex seis-mic trace analysis[J].Geophysics,1979,44(6):1041～1063.
[6]程乾生.希尔伯特变换与信号的包络、瞬时相位和瞬时频率[J].石油地球物理勘探,1979,14(3):1～14.
[7]熊翥.地震记录道的振幅包络、瞬时相位、瞬时频率[J].石油物探,1980,01:83～92.
[8]贺振华.地震波复数道分析的计算方法.石油物探,1980,04:64～80.
[9]James D Robertson,David A Fisher.Complex seismic trace attributes[J].The Leading Edge,1988:22～26.
[10]刘财,周辉杨,宝俊.高分辨率复数道分析方法[J].石油地球物理勘探,1995,30(1):24～28.
[11]刘洪林,周磊.希尔伯特变换在测井资料数据处理中的应用[J].大庆石油学院学报,1998,22(3):9～11.
[12]韦宏鹄,杨顺安.探地雷达波的相位参数及其应用[J].地质科技情报,1999,18(1):102～104.
[13]王军民,陈义群,陈华.高速公路锚杆锚固质量无损检测技术研究[J].地球物理学进展,2004,19(4):782～785.
[14]高静怀,陈凤,陈树民.利用地震瞬时谱属性进行薄互层分析[J].煤田地质与勘探,2005,33(3):67～70.
[15]冯智慧.高分辨率复数道分析方法在油藏描述中的应用[D].吉林:吉林大学,2007.
[16]YI LUO,SALEH AL-DOSSARY,MAHER MARHOON.Generalized Hilbert transform and its applications in geophysics[J].The Leading Edge,2003,22(3):198～202.
[17]余辉,曹景忠.加窗希尔伯特(Hilbert)变换[C].中国地球物理学会,2003:450.
[18]何建军,贺振华,黄德济.广义希尔伯特变换及其应用研究[C].中国地球物理学会,2003:448～449.
[19]杨伟刚.基于地震波衰减属性的主参数分析研究[D].成都:成都理工大学,2007.
[20]谢静.基于时间域加窗Hilbert变换的地震边缘检测研究[D].成都:成都理工大学,2007.
[21]Arthur E Barnes.Instantaneous frequency and am-plitude at the envelope Peak of a constant-Phase wavelet[J].Geophysics,1991,56(7):1058～1060.
[22]Jamas D R,Henry H N.Complex seismic trace analy-sis of thin beds[J].Geophysics,1984,49(4):34～352.
[23]John H Bradford,Lee M Liberty,David F Dickins.Oil exploration at less than2mdepth:instantaneous attribute analysis of ground-Penetrating radar data for detection of crude oil under sea ice[A].SEG Ex-panded Abstracts24,2005:1113～111.
[24]宋洪勇.分数阶希尔伯特变换及其在地震沉积学中的应用[D].成都:成都理工大学,2011.
[25]Huang N E,Shen Z,Steven R L.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[J].Proc R Soclond,Series A,1998,454:903～995.
[26]李彦军,胡祥云,何展祥.HHT变换在地球物理中的应用现状及前景[J].工程地球物理学报,2010,7(5):537～543.