频段分形动力特征与地下连续墙异常检测
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摘要
采用功率谱方法对地震记录的分形性质进行了深入的分析,认为其具有且仅在几个高频段具有分形性质,这既为在地震记录分析中合理应用分形技术提供了理论依据,也揭示了现行单一综合分形维方法用于地震剖面异常检测的不足。在这个基础上,将à trous 小波算法和规则维分形优势联合,提出了刻画地震剖面分形动力特征的剖面规则维谱方法,该方法克服了单一综合规则维的不足,实现了地震剖面在分形域的精确定量解释,并凸现了异常信息。从剖面规则维谱出发,发展了地震剖面异常检测实用技术,并开发了相应的软件系统,对地下连续墙异常检测的结果证明,其可行性和有效性优于现行分形检测技术。
The fractal property of seismic records is comprehensively investigated with its power spectrum, and it is generally considered that the seismic record is of fractal property in several higher frequency bands. This not only provides the theoretic foundation for reasonably applying fractal into seismic records analysis, but also reveals the shortages of using single integrated fractal dimension to detect the singularities of seismic profile. Based on the above consideration and by the combination of the advantages of à trous algorithm of wavelet and regularization dimension of fractal, a new method of profile regularization dimension spectrum is proposed to describe the fractal dynamic characteristics of seismic profile. It overcomes the shortages of single integrated regularization dimension, realizes the accurate fractal quantity interpretation of seismic profile and also protrudes its singularities. On the basis of this method, the practical technology for detecting singularities of seismic profile is put forward and the corresponding software system is developed. In the singularity detection of underground continuous wall, it is showed that the technology is of better feasibility and effectiveness than the current fractal detection method.
The fractal property of seismic records is comprehensively investigated with its power spectrum, and it is generally considered that the seismic record is of fractal property in several higher frequency bands. This not only provides the theoretic foundation for reasonably applying fractal into seismic records analysis, but also reveals the shortages of using single integrated fractal dimension to detect the singularities of seismic profile. Based on the above consideration and by the combination of the advantages of à trous algorithm of wavelet and regularization dimension of fractal, a new method of profile regularization dimension spectrum is proposed to describe the fractal dynamic characteristics of seismic profile. It overcomes the shortages of single integrated regularization dimension, realizes the accurate fractal quantity interpretation of seismic profile and also protrudes its singularities. On the basis of this method, the practical technology for detecting singularities of seismic profile is put forward and the corresponding software system is developed. In the singularity detection of underground continuous wall, it is showed that the technology is of better feasibility and effectiveness than the current fractal detection method.
引文
[1]曾锦光,舒雅琴,钟勇.地震记录的分形与混沌性质[J].石油地球物理勘探,1995,30(6):743–748.
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[9]李庆忠.怎样正确对待分形[J].石油地球物理勘探,1996,61(1):136–160.
[10]FalconerK J.FractalGeometry-MathematicalFoundationsandApplications[M].Chichester:JohnWiley&Sons,1990.
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[14]Fran?oisR,JacquesL V.A RegularizationApproach toFractionalDimensionEstimation[C].Malta:Proceeding ofFractals98,1998.
[2]彭玉华.小波变换与工程应用[M].北京:科学出版社,1999.
[3]谢和平.分形—岩石力学导论[M].北京:科学出版社,1996.
[4]曹聿明.地震记录的奇性特征与分辨率[J].石油地球物理勘探,1995,30(4):480–486.
[5]BoschettiF,DentithD M,ListD R.A fractal-based algorithmfor detecting first arrivals[J].GeophysProsp,1996,61:1095–1102.
[6]常旭,刘伊克.Hausdorff分数维识别地震初至走时[J].地球物理学报,1998,41(6):826–832.
[7]曾富英,李敏峰,申维.地震波初至拾取的分形研究[J].现代地质,2002,16(2):209–213.
[8]崔若飞,许东.利用分形技术和人工神经网络技术检测小断层[J].中国矿业大学学报,1999,28(3):258–261.
[9]李庆忠.怎样正确对待分形[J].石油地球物理勘探,1996,61(1):136–160.
[10]FalconerK J.FractalGeometry-MathematicalFoundationsandApplications[M].Chichester:JohnWiley&Sons,1990.
[11]HolschneiderM,Kronland-MartinetR,MorletJ,TchamitchianP.Wavelets,Time-FrequencyMethods andPhaseSpace[M].Springer-VerlagBerlin,1989,286–297.
[12]ShensaM J.The discrete wavelet transform:Wedding theàtrous andMallat algorithms[J].TransSignalProc,1992,40(10):2464–2482.
[13]MallatS ,ZhongS .Characterization of signals frommultiscale edges[J].TransPattAnal andMachIntell,1992,14(7):710–732.
[14]Fran?oisR,JacquesL V.A RegularizationApproach toFractionalDimensionEstimation[C].Malta:Proceeding ofFractals98,1998.
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