用小波变换谱均衡法提高地震资料的分辨率
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摘要
谱均衡方法是提高地震资料分辨率的一种有效方法。通常,谱均衡方法[1]是通过傅立叶正变换在频率域实现的,但是,傅立叶变换存在着先天不足的缺陷,即时-频局域性差,它不能分析信号的局部频率特性。小波变换方法的时-频局部性要优于傅立叶变换,它克服了傅立叶变换的不足,既能保证变换是可逆的,又可以分析信号的局部频率特性。文中充分利用小波变换与谱均衡的优点,利用小波变换与谱均衡相结合的方法,对不同尺度的分解结果进行谱均衡处理,以达到提高分辨率的目的。
Spectrum equalization method is one kind of method for improving resolution of seismic data.In general,the spectrum equalization method is fulfilled in frequency domain through Fourier transform.But the disadvantage of Fourier transform is bad time-frequency localization and it cannot analyses the local feature of signal.The time-frequency localization of wavelet transform exceeds the Fourier transform.The wavelet transform conquers the disadvantage of Fourier transform.It not only ensures the transform is reversible,but also can alalyses the local feature of frequency.The paper takes full advantage of wavelet transform and spectrum equalization,then processes different scale result and achieves a higher resolution result.
Spectrum equalization method is one kind of method for improving resolution of seismic data.In general,the spectrum equalization method is fulfilled in frequency domain through Fourier transform.But the disadvantage of Fourier transform is bad time-frequency localization and it cannot analyses the local feature of signal.The time-frequency localization of wavelet transform exceeds the Fourier transform.The wavelet transform conquers the disadvantage of Fourier transform.It not only ensures the transform is reversible,but also can alalyses the local feature of frequency.The paper takes full advantage of wavelet transform and spectrum equalization,then processes different scale result and achieves a higher resolution result.
引文
[1]陈传仁,周熙襄.小波谱白化方法提高地震资料的分辨率[J].石油地球物理勘探,2000,35(6):703-709.
[2]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[3]M cFadden P D,Cook J G,Forster L M.Decomposition of gear vibration signals by the generalized S-transform[J].M ech.Syst.S ignal Process,1999,13:691-707.
[4]俞寿朋.高分辨率地震勘探[M].北京:石油工业出版社,1993.
[5]刘葵,刘招君,朱建伟,等.时频分析在石油地球物理勘探中的应用[J].世界地质,2000,19(3):282-285.
[6]李鲲鹏,刘业新,李衍达,等.小波变换的过零点特性与地震勘探信号的信噪比和分辨率[J].地球物理学报,1997,40(4):561-569.
[7]何继善,温佩琳,肖兵,等.小波分析在地球物理勘探中的应用[J].中国有色金属学报,1997,7(4):14-19.
[8]赵淑红,朱光明.相位在地震勘探中的用途及研究[J].地球科学与环境学报,2005,27(4):87-89.
[2]张贤达.现代信号处理[M].北京:清华大学出版社,2002.
[3]M cFadden P D,Cook J G,Forster L M.Decomposition of gear vibration signals by the generalized S-transform[J].M ech.Syst.S ignal Process,1999,13:691-707.
[4]俞寿朋.高分辨率地震勘探[M].北京:石油工业出版社,1993.
[5]刘葵,刘招君,朱建伟,等.时频分析在石油地球物理勘探中的应用[J].世界地质,2000,19(3):282-285.
[6]李鲲鹏,刘业新,李衍达,等.小波变换的过零点特性与地震勘探信号的信噪比和分辨率[J].地球物理学报,1997,40(4):561-569.
[7]何继善,温佩琳,肖兵,等.小波分析在地球物理勘探中的应用[J].中国有色金属学报,1997,7(4):14-19.
[8]赵淑红,朱光明.相位在地震勘探中的用途及研究[J].地球科学与环境学报,2005,27(4):87-89.
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