三维Kriging方法中的变异函数套合  

Nested Overlap of Variograms in 3D Kriging

作　　者：姚凌青[1] 潘懋[2] 成秋明[1,3] 常德峰[4] 

机构地区：[1]中国地质大学地质过程与矿产资源国家重点实验室,湖北武汉430074 [2]北京大学造山带与地壳演化教育部重点实验室,北京100871 [3]加拿大约克大学地球空间科学与工程系,加拿大多伦多M3J1P3 [4]山东水利职业学院建筑工程系,山东日照276826

出　　处：《地球科学（中国地质大学学报）》2009年第2期294-298,共5页Earth Science-Journal of China University of Geosciences

基　　金：国家自然科学基金项目(Nos.40638041,40502029);教育部创新团队基金(No.IRT0755);地质过程与矿产资源国家重点实验室科技部专项经费资助

摘　　要：三维属性建模是利用有限的采样数据,通过插值或模拟的方法来重构地学属性在三维空间中的分布.将Kriging方法推广到三维空间,从而演化为三维Kriging方法,可以为三维属性建模提供可靠的手段.而三维Kriging方法面临的一大难题就是各向异性变异函数的套合.提出了一种简单通用的三维空间变异函数的套合方法.该方法以空间坐标基的变换为基础,在套合时充分考虑轴向上变异差异的影响,并由此提出各向异性变化率的概念;论证了套合方法的可行性,并通过地下水水质三维属性建模的实例对该方法进行了有效的验证.3D property modeling is hot nowadays in geoscientific researches, the essence of which is mapping geological properties in 3D space from limited samples by interpolation or simulation methods. By extending Kriging to 3D space which evolves to the so-called 3D Kriging, a reliable method can be provided for 3D property modeling. However, one of the most difficult problems in 3D Kriging is the nested overlap of anisotropic variograms. In this paper, a simple but universal method is proposed for the nested overlap. Based on the transformation of coordinate basis, this new method takes into full consideration the difference of variation on each axis direction and puts forward the concept of anisotropy ratio. The feasibility of the new method is demonstrated and testified by a case study about 3D property modeling of groundwater quality.

关 键 词：三维Kriging 变异函数 结构分析 

分 类 号：P628[天文地球—地质矿产勘探]