改进的曲率计算方法及其效果分析
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摘要
计算曲率的常用方法是使用3×3网格单元对局部曲面作最小二乘法逼近。这种网格逼近法在求取曲率值的同时带来了大量噪声,使一些细微的构造被淹没而无法显示。为此,对3×3网格单元拟合曲面求取曲率属性的算法进行了改进,采用5×5和7×7网格单元对局部曲面进行最小二乘法拟合,推导出详细的计算公式。YY地区实际地震资料计算结果对比表明,利用改进方法计算曲率时噪声干扰大大减少,能有效区分出断层及一些细微的构造特征,证明5×5网格、7×7网格拟合曲面求取曲率公式是正确的。
The curvature is usually calculated by using least square method to approximate the local curved surface with 3*3 grid unit.The method brings in a lot of noise,so some of the micro structures are covered by noise and cannot be displayed.Therefore,we utilized the least square method to approximate the local curved surface by 5*5 grid unit and 7*7 grid unit and derived detailed calculation formula.The application results on actual data indicate that the ability of resisting noise is enhanced,and the characteristics of faults and some micro structures can be distinguished effectively,which proves the correctness of the curvature formula obtained by 5*5 grid unit and 7*7 grid unit.
The curvature is usually calculated by using least square method to approximate the local curved surface with 3*3 grid unit.The method brings in a lot of noise,so some of the micro structures are covered by noise and cannot be displayed.Therefore,we utilized the least square method to approximate the local curved surface by 5*5 grid unit and 7*7 grid unit and derived detailed calculation formula.The application results on actual data indicate that the ability of resisting noise is enhanced,and the characteristics of faults and some micro structures can be distinguished effectively,which proves the correctness of the curvature formula obtained by 5*5 grid unit and 7*7 grid unit.
引文
[1]贺振华,黄德济,文晓涛.裂缝油气藏地球物理预测[M].成都:四川科学技术出版社,2007:103-107He Z H,Huang D J,Wen X T.Fractured oil reser-voirs with geophysical prediction[M].Chengdu:Si-chuan Science and Technology Press,2007:103-107
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[3]张军华,王伟,谭明友,等.曲率属性及其在构造解释中的应用[J].油气地球物理,2009,7(2):1-7Zhang J H,Wang W,Tan M Y,et al.The applicationof curvature attribute to the structure interpretation[J].Petroleum Geophysics,2009,7(2):1-7
[4]文武,文晓涛.曲率在复杂地质体检测中的应用[J].石油天然气学报,2011,33(7):84-88Wen W,Wen X T.The application of curvature at-tribute to the complex geological detection[J].Jour-nal of Oil and Gas Technology,2011,33(7):84-88
[5]蔡涵鹏.方差体的改进算法及在地震解释中的应用[J].煤田地质与勘探,2008,36(1):74-77Cai H P.Improvement of variance cube techniqueand its application in seismic interpretation[J].CoalGeology&Exploration,2008,36(1):74-77
[6]杨威,贺振华,陈学华.结构方位滤波在体曲率属性中的应用[J].石油物探,2011,50(1):27-32Yang W,He Z H,Chen X H.The application ofstructure orientation filter to the three-dimensionalcurvature attribute[J].Geophysical Prospecting forPetroleum,2011,50(1):27-32
[7]孔选林,唐建明,徐天吉.曲率属性在川西新场地区裂缝检测中的应用[J].石油物探,2011,50(5):517-520Kong X L,Tang J M,Xu T J.The curvature proper-ties to forecast crack in Chuanxi[J].GeophysicalProspecting for Petroleum,2011,50(5):517-520
[8]许云.时间剖面方程与反射界面曲率影响[J].石油物探,1979,18(1):1-12Xu Y.Time profile equation and the interface curva-ture effect[J].Geophysical Prospecting for Petrole-um,1979,18(1):1-12
[9]Roberts A.Curvature attributes and their applicationto 3Dinterpretedhorizons[J].First Break,2001,19(2):85-100
[10]Marfurt K J.Robust estimates of 3Dreflector dipand azimuth[J].Geophysics,2006,71(4):29-40
[11]Chopra S,Marfurt K J.Emerging and future trendsin seismic attributes[J].The Leading Edge,2008,27(3):298-318
[12]Klein P,Richard L,James H.3Dcurvature attrib-utes:a new approach for seismic interpretation[J].First Break,2008,26(4):105-112
[13]南京工学院数学教研组.数学物理方程与特殊函数[M].北京:高等教育出版社,1982:163-167Nanjing Institute of Mathematics Educational Re-search.Mathematical physics equation and the spe-cial function[M].Beijing:Higher Education Press,1982:163-167
[14]同济大学应用数学系.高等数学[M].北京:高等教育出版社,2002:86-96The Applied Math of Tongji.Higher mathematics[M].Beijing:Higher Education Press,2002:86-96
[2]伍鹏,贺振华,陈学华,等.二维高斯迭代平滑滤波曲率属性及其应用[J].地球物理学进展,2010,25(6):1-6Wu P,He Z H,Chen X H,et al.Curvature attributeof two-dimensional gaussian iterated smoothing fil-tering and applications[J].Progress in Geophysics,2010,25(6):1-6
[3]张军华,王伟,谭明友,等.曲率属性及其在构造解释中的应用[J].油气地球物理,2009,7(2):1-7Zhang J H,Wang W,Tan M Y,et al.The applicationof curvature attribute to the structure interpretation[J].Petroleum Geophysics,2009,7(2):1-7
[4]文武,文晓涛.曲率在复杂地质体检测中的应用[J].石油天然气学报,2011,33(7):84-88Wen W,Wen X T.The application of curvature at-tribute to the complex geological detection[J].Jour-nal of Oil and Gas Technology,2011,33(7):84-88
[5]蔡涵鹏.方差体的改进算法及在地震解释中的应用[J].煤田地质与勘探,2008,36(1):74-77Cai H P.Improvement of variance cube techniqueand its application in seismic interpretation[J].CoalGeology&Exploration,2008,36(1):74-77
[6]杨威,贺振华,陈学华.结构方位滤波在体曲率属性中的应用[J].石油物探,2011,50(1):27-32Yang W,He Z H,Chen X H.The application ofstructure orientation filter to the three-dimensionalcurvature attribute[J].Geophysical Prospecting forPetroleum,2011,50(1):27-32
[7]孔选林,唐建明,徐天吉.曲率属性在川西新场地区裂缝检测中的应用[J].石油物探,2011,50(5):517-520Kong X L,Tang J M,Xu T J.The curvature proper-ties to forecast crack in Chuanxi[J].GeophysicalProspecting for Petroleum,2011,50(5):517-520
[8]许云.时间剖面方程与反射界面曲率影响[J].石油物探,1979,18(1):1-12Xu Y.Time profile equation and the interface curva-ture effect[J].Geophysical Prospecting for Petrole-um,1979,18(1):1-12
[9]Roberts A.Curvature attributes and their applicationto 3Dinterpretedhorizons[J].First Break,2001,19(2):85-100
[10]Marfurt K J.Robust estimates of 3Dreflector dipand azimuth[J].Geophysics,2006,71(4):29-40
[11]Chopra S,Marfurt K J.Emerging and future trendsin seismic attributes[J].The Leading Edge,2008,27(3):298-318
[12]Klein P,Richard L,James H.3Dcurvature attrib-utes:a new approach for seismic interpretation[J].First Break,2008,26(4):105-112
[13]南京工学院数学教研组.数学物理方程与特殊函数[M].北京:高等教育出版社,1982:163-167Nanjing Institute of Mathematics Educational Re-search.Mathematical physics equation and the spe-cial function[M].Beijing:Higher Education Press,1982:163-167
[14]同济大学应用数学系.高等数学[M].北京:高等教育出版社,2002:86-96The Applied Math of Tongji.Higher mathematics[M].Beijing:Higher Education Press,2002:86-96
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