【作者】 王汪根；

【导师】 张德会；

【作者基本信息】 中国地质大学（北京） ， 地球探测与信息技术， 2006， 硕士

【摘要】 地球化学元素分布规律的研究是揭示元素矿化富集及空间变化规律的重要途径之一。勘查地球化学数据的统计特征常被用来描述和刻画地球化学元素的分布规律，然而人们早已注意到普通的统计方法并不考虑样品的空间分布和统计特征随空间度量尺度的变化性，而分形理论能有效地克服统计方法的不足。随着分形方法在地球化学数据处理中应用日益广泛，将各种方法集成到软件系统中对生产和科学研究都有很大的意义。 笔者总结了国内外将分形理论应用到地球化学数据处理的几个大的方向，在Windows平台下用C++编程语言开发出了一套集成多种分形算法的软件系统。软件系统有五大核心模块：数据预处理；分维数计算；地球化学异常下限的求取；数据网格化；多重分形谱。 在开发出的软件平台上，笔者制作了14种元素富集模型的多重分形谱图，对谱图的各种指标做了详细分析，并针对多重分形谱图的特点制订了两种新的分析指标：富集效率指数(Enrichment Efficiency Index，EEI)和富集强度指数(Enrichment Intensity Index，EII)。还用南岭地区1∶5万、1∶20万勘查地球化学数据、江西大吉山地区1∶5万勘查地球化学数据共三十多种元素的多重分形谱图和理论模型对比，根据多重分形谱的各指标总结了三个地区的元素富集规律，效果良好。 从软件使用及结果分析可以看出：多重分形谱能较好地描述地球化学数据的分布特征；在开发出的软件平台上能方便、快捷地制作出多重分形谱图、频率直方图和各种分维散点图，以及快速网格化数据和确定异常下限等，有较好的实用价值。更多还原

【Abstract】 The research of the law of geochemical elements distribution is important to realize the law of enrichment and spatial variation of elements. The statistic character of geochemical data is often used to describe the law of geochemical elements distribution. However, the general statistic methods can not distinguish the spatial distribution of the elements and the variation of statistic character with different scale, but the fractal methods can overcome those defects. With the increasing number of fractal methods being used in the geochemical data processing, a software system which is integrated many useful fractal methods is definitely significant to scientific research and practice.In this paper, the main fractal methods in geochemical data processing are generalized, and the specific design of a software system which is designed by C++ programming language in Windows operation system is introduced. There are five cores in this software: data preprocessing, fractal dimension calculation, geochemical anomalous threshold, grid data and multifractal spectrum.Fourteen multifractal spectrum graphs about element enrichment model are produced by the software introduced above, and every parameter of the multifractal spectrum is analyzed specifically, and two new indexes EEI(Enrichment Efficiency Index) and EII(Enrichment Intensity Index) are invented from the characters of multifractal spectrum graph. The multifractal spectrums of geochemical exploration data in Nanling region with the scale of 1:50000 and 1:200000 and in Dajishan mining district in Jiangxi province with the scale of 1:50000 are calculated and compared with the spectrums of the numerical models. In the end, the law of element enrichment in three regions is summarized from the indexes of the multifractal spectrum, and the outcome is satisfying.To sum up, the multifractal spectrum can describe the distribution character of geochemical data finely. By using the software introduced in this paper, we can produce multifractal spectrum graph, the frequency distribution graph and disperse dot graph of fractal methods and obtain grid data and geochemical anomalous更多还原