改进的曲率计算方法及其效果分析  

An improved curvature calculation algorithm and its effect analysis

作　　者：李福强[1,2] 贺振华[1,2] 文晓涛[1,2] 蒋文杰[3] 蒋首进[1,2] 李如山[1,2] 

机构地区：[1]成都理工大学地球物理学院,四川成都610059 [2]成都理工大学油气藏地质及开发工程国家重点实验室,四川成都610059 [3]中国矿业大学安全工程学院,江苏徐州221116

出　　处：《石油物探》2012年第2期146-150,104,共5页Geophysical Prospecting For Petroleum

基　　金：国家自然科学基金(41174115);国家自然科学基金青年基金(40904034)联合资助

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.

关 键 词：泰勒公式 曲率 网格 差分方法 

分 类 号：P631.4[天文地球—地质矿产勘探]