广义希尔伯特变换地震边缘检测方法研究
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摘要
常规边缘检测方法对边缘检测不够细腻且受噪声影响,通过引入保边去噪技术并修正广义希尔伯特变换(GHT)边缘检测方法,建立了新的边缘检测方法。该方法首先对资料进行保边去噪预处理,再优选时窗进行频率域加窗傅里叶变换,利用频率域加窗傅里叶变换虚部绝对值沿频率求和的1/n次幂进行边缘检测。模型和实际资料的计算结果表明,该边缘检测方法不仅有更高的边缘检测精度,而且具有抑制噪声能力。该方法可以有效地预测构造裂缝、溶蚀孔洞等缝洞发育带的分布特征。
Conventional edge detection methods have low resolution and serious noise influence.Therefore we propose a new edge detection approach by introducing 2-D edge-preserved smoothing and generalized Hilbert transform(GHT)edge prediction.First edge-preserved smoothing processing is carried out.And then optimized windowed Fourier transform is conducted.Finally imaginary part absolute values of the transform are used to detect edges along 1/N power of the frequency sum of the windowed Fourier transform.This approach is applied to effectively predict the distribution of structural fracture and Karst pores and caves.Model and real data test results show that the proposed edge detection approach has not only strong noisesuppressed capacity but also high precision.
Conventional edge detection methods have low resolution and serious noise influence.Therefore we propose a new edge detection approach by introducing 2-D edge-preserved smoothing and generalized Hilbert transform(GHT)edge prediction.First edge-preserved smoothing processing is carried out.And then optimized windowed Fourier transform is conducted.Finally imaginary part absolute values of the transform are used to detect edges along 1/N power of the frequency sum of the windowed Fourier transform.This approach is applied to effectively predict the distribution of structural fracture and Karst pores and caves.Model and real data test results show that the proposed edge detection approach has not only strong noisesuppressed capacity but also high precision.
引文
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[11]陈学华,贺振华,黄德济.地震资料的高阶伪希尔伯特变换边缘检测.地球物理学进展,2008,23(4):1106-1110.Chen Xuehua,He Zhenhua,Huang Deji.Seismic data edge detection based on higher-order pseudo Hilbert transform.Progress in Geophysics,2008,23(4):1106-1110.
[12]Luo Yi,Marhoon M.Generalized Hilbert transform and its applications.The Leading Edge,2003,22(3):198-202.
[13]Luo Yi,Marhoon M.Edge presercing smoothing and applications.The Leading Edge,2002,21(2):136-141.
[14]熊晓军,贺振华,赵明金等.一种基于GHT的裂缝检测新方法.石油地球物理勘探,2009,44(4):442-444,465.Xiong Xiaojun,He Zhenhua,Zhao Mingjin et al.A new GHT-based fractural detection method.OGP,2009,44(4):442-444,465.
[15]许辉群,桂志先.边缘检测技术在石油勘探中的研究进展.特种油气藏,2011,18(4):7-10.Xu Huiqun,Gui Zhixian.Progress of edge detection technology in seismic exploration.Special Oil&Gas Reservoirs,2011,18(4):7-10.
[16]王静波,王尚旭,袁三一等.基于多道局部复值相关的地震信号边缘检测.石油地球物理勘探,2014,49(1):190-196.Wang Jingbo,Wang Shangxu,Yuan Sanyi et al.Seismic data edge detection using multichannel local complex-valued correlation.OGP,2014,49(1):190-196.
[2]贺振华,黄德济.裂缝油气藏地球物理预测.四川成都:四川科技出版社,2007.
[3]李红星,刘财,陶春辉.图像边缘检测方法在地震剖面同相轴自动检测中的应用研究.地球物理学进展,2007,22(5):1607-1610.Li Hongxing,Liu Cai,Tao Chunhui.The study of application of edge measuring technique to the detection of phase axis of the seismic setion.Progress in Geophysics,2007,22(5):1607-1610.
[4]Bahorich M,Farmer S.3-D seismic discontinuity for faults and stratigraphic features the coherence cube.The Leading Edge,1995,14(10):1053-1058.
[5]高静怀,汪文秉,朱光明.小波变换与信号瞬时特征分析.地球物理学报,1997,40(6):421-432.Gao Jinghuai,Wang Wenbing,Zhu Guangming.Wavelet transform and instantaneous attributes analysis.Chinese Journal of Geophysics,1997,40(6):421-432.
[6]Klaus K.Corner detection in natural images based on the 2-D Hilbert transform.Signal Processing,1996,48(3):225-234.
[7]Wietzke L,Fleischmann O,Sommer G.2DImage Analysis by Generalized Hilbert Transforms in Conformal Space.Lecture Notes in Computer Science,2008,5303,638-649.
[8]谢静.基于时间域加窗Hilbert变换的地震边缘检测研究[硕士论文].成都理工大学,2007.
[9]何建军,贺振华,黄德济.致密砂岩储层裂缝发育带的检测和识别.成都理工大学学报,2004,31(6):713-716.He Jianjun,He Zhenhua,Huang Deji.Detection and interpretation of fracture sets in tight sandstone reservoir.Journal of Chengdu University of Technology,2004,31(6):713-716.
[10]党志敏.复杂油气储层的GHT检测研究[硕士论文].成都理工大学,2007.
[11]陈学华,贺振华,黄德济.地震资料的高阶伪希尔伯特变换边缘检测.地球物理学进展,2008,23(4):1106-1110.Chen Xuehua,He Zhenhua,Huang Deji.Seismic data edge detection based on higher-order pseudo Hilbert transform.Progress in Geophysics,2008,23(4):1106-1110.
[12]Luo Yi,Marhoon M.Generalized Hilbert transform and its applications.The Leading Edge,2003,22(3):198-202.
[13]Luo Yi,Marhoon M.Edge presercing smoothing and applications.The Leading Edge,2002,21(2):136-141.
[14]熊晓军,贺振华,赵明金等.一种基于GHT的裂缝检测新方法.石油地球物理勘探,2009,44(4):442-444,465.Xiong Xiaojun,He Zhenhua,Zhao Mingjin et al.A new GHT-based fractural detection method.OGP,2009,44(4):442-444,465.
[15]许辉群,桂志先.边缘检测技术在石油勘探中的研究进展.特种油气藏,2011,18(4):7-10.Xu Huiqun,Gui Zhixian.Progress of edge detection technology in seismic exploration.Special Oil&Gas Reservoirs,2011,18(4):7-10.
[16]王静波,王尚旭,袁三一等.基于多道局部复值相关的地震信号边缘检测.石油地球物理勘探,2014,49(1):190-196.Wang Jingbo,Wang Shangxu,Yuan Sanyi et al.Seismic data edge detection using multichannel local complex-valued correlation.OGP,2014,49(1):190-196.
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