基于泛克里格方法的位场扩边处理  

The edge extending of potential field data based on universal Kriging interpolation method

作　　者：李盼 戴前伟[1,2] 吕宏安 LI Pan;DAI Qianwei;LV Hongan(School of Geosciences and Info-Physics,Central South University,Changsha 410083,China;Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring(Central South University), Ministry of Education,Changsha 410083,China;Hunan Yong Ji Expressway Construction Development co, LTD, Jishou 416000, China)

机构地区：[1]中南大学地球科学与信息物理学院,长沙410083 [2]中南大学有色金属成矿预测与地质环境监测教育部重点实验室,长沙410083 [3]湖南省永吉高速公路建设开发有限公司,吉首416000

出　　处：《物探化探计算技术》2018年第6期741-747,共7页Computing Techniques For Geophysical and Geochemical Exploration

基　　金：国家自然科学基金项目(41374118)

摘　　要：在频率域进行位场数据处理与转换时,为了减弱边界效应以及Gibbs效应,需要对原始位场数据进行扩边处理,使得网格数据在x、y方向上的点数均为2的幂次方,并且扩边后的边界值均相等。目前比较常用的扩边算法是余弦扩边方法,为了寻求更高的处理精度,这里将泛克里格插值方法引入位场扩边处理中,在频率域计算了位场数据的一阶垂向导数,通过理论模型对比了该方法与传统的余弦扩边以及其他常用网格化方法的频率域处理精度,结果表明:泛克里格方法能很好地实现位场连续且平滑的扩边,并且与其他扩边方法相比有着更高的精度。When processing and transforming the potential field data in the frequency domain,in order to weaken the edge effect and Gibbs effect,it is necessary to do edge extending process for the original potential field data.The points number in the x and y directions must be the power of 2,and the edge value must be equal to a same value.Currently,the Cosin method is often used in edge extending,in order to seek for a higher accuracy,we introduced the universal Kriging interpolation method as an edge extending method.We transformed the first vertical derivative of the gravity filed of the theoretical model based on universal Kriging interpolation.At the same time,we also transformed the first vertical derivative based on other edge extending methods in order to compare each other.The compare results show that the universal Kriging interpolation method can achieve a continuous and smooth edge extending,and it has a higher process accuracy than other edge extending methods.

关 键 词：位场数据 扩边 泛克里格 垂向导数 

分 类 号：P631.1[天文地球—地质矿产勘探]