曲率计算公式的改进及应用效果  

New curvature calculation formula and its application

作　　者：李福强[1,2] 蒋文杰[3] 蔡涵鹏[1,2] 蒋首进[1,2] 胡英[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：《煤田地质与勘探》2013年第2期83-86,共4页Coal Geology & Exploration

摘　　要：曲率属性近年来在构造识别和解释上得到了迅速的发展和应用,而曲率计算通常使用3×3网格单元对局部曲面作最小二乘法逼近,由Roberts推导并给出了具体的计算公式,该方法在求取曲率值时带来了大量噪声。采用5×5网格单元对局部曲面进行最小二乘法拟合,导出了5×5网格单元求取曲率的计算公式,并对3×3网格、5×5跳点网格、5×5网格求取曲率的结果进行了对比。结果表明,改进后的曲率计算方法抗噪能力显著增强。The previous researches calculated the curvature by using the least square method to approximate the local surface with 3 3 grid.Its specific calculation formula is deduced by Roberts.The aperture brings a lot of noise when we calculate the value of the curvature.In order to solve this problem,we use the least square method to approximate the local surface with 5 5 grid,give the detailed calculation formula and then compare with the results got by 3 3 grid,5 5 jumping grid and 5 5 grid.The results prove that the improved curveture methods has enhanced the anti-noise ability.

关 键 词：泰勒公式 曲率 网格 差分方法 

分 类 号：P631[天文地球—地质矿产勘探]