中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (1): 133-137.

• 研究论文 • 上一篇    下一篇

分形插值在地球化学数据中的应用

张 焱1,2,3,成秋明2,周永章1,3,谢淑云2,4,刘小龙4,徐德义2   

  1. (1. 中山大学地球科学系,广东 广州 510275;2.中国地质大学(武汉)地质过程与矿产资源国家重点实验室;3. 中山大学地质过程与矿产资源探查广东省重点实验室,广东 广州510275;4.中国地质大学(武汉)地球科学学院,湖北 武汉 430074)
  • 收稿日期:2009-12-01 修回日期:1900-01-01 出版日期:2011-01-25 发布日期:2011-01-25

Assessment of Fractal Interpolation Method in Geochemical Exploration

ZHANG Yan 1,2,3, CHENG Qiuming 2,ZHOU Yongzhang 1,3, XIE Shuyun 2,4,LIU Xiaolong 4, XU Deyi 2   

  1. (1. Department of Earth Sciences, Sun Yatsen University, Guangzhou 510275, China;2. State Key Laboratory of Geological Processes and Mineral Resource, China University of Geosciences, Wuhan 430074, China;3. State Key Laboratory of Geological Processes and Mineral Resource,Sun Yatsen University, Guangzhou 510275, China;4. Faculty of Earth Science, China University of Geosciences, Wuhan 430074, China)
  • Received:2009-12-01 Revised:1900-01-01 Online:2011-01-25 Published:2011-01-25

摘要: 地球化学数据的正常值往往服从正态分布或对数正态分布,异常值往往具有分形分布,具有局部奇异性。文中分别采用分形分布数据、正态分布数据和西藏驱龙地区的实际数据比较3种具有代表性的插值方法:反距离加权法、克里格法和分形法。结果表明:服从正态分布的数据,三种插值方法应用效果相差甚微;服从分形分布的数据使用分形插值的效果优于反距离加权和克里格法;分形插值法适用于具有奇异性的数据。此研究有助于合理选择插值方法。

关键词: 分形插值, 反距离加权, 克里格, 奇异性

Abstract: The common geochemical data usually show a normal distribution while the abnormal data exhibit a fractal distribution and local singularity. Three typical interpolation methods, IDW, Kriging and fractal, were discussed in this study.The conclusions are as follows: three methods have almost the same effect on the data with normal distribution; fractal interpolation is better than IDW and Kriging for the data with singularity. This study can help to choose interpolation method.

Key words: fractal interpolation, inverse distance weighted, kriging, singularity

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