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成矿元素品位有序数据集自仿射分形方法应用性评价
引用本文:万丽,王庆飞.成矿元素品位有序数据集自仿射分形方法应用性评价[J].地球科学进展,2007,22(4):357-361.
作者姓名:万丽  王庆飞
作者单位:1. 广州大学数学与信息科学学院,广东,广州,510006;中国地质大学地质过程与矿产资源国家重点实验室,北京,100083
2. 中国地质大学地质过程与矿产资源国家重点实验室,北京,100083;中国地质大学岩石圈构造、深部过程及探测技术教育部重点实验室,北京,100083
基金项目:国家自然科学基金 , 国家重点实验室基金 , 中国博士后科学基金
摘    要:自仿射分形的Hurst指数是分析地质剖面数据的有利参数。以大尹格庄金矿不同勘探线刻槽取样所得的金品位序列为例,评价Hurst指数的几种估算方法在地质剖面数据分析中的适用性。取相同尺度,全部数据集的增量标准偏差法统计散点呈波状变化,部分数据集的曲线长度变换法统计散点的后半部分呈波状变化,全部数据集的重标极差分析法统计散点线性拟合较好。结果显示增量标准偏差法对尺度要求较为苛刻,适于巨量数据的统计;曲线长度变换法应用性较广,所得Hurst指数反映品位的空间变化强度;重标极差分析法稳定性最好,其Hurst指数反映了品位变化相依性。 

关 键 词:自仿射分形  Hurst指数  相依性  成矿元素  胶东
文章编号:1001-8166(2007)04-0357-05
修稿时间:2007-01-20

Analysis on Application of the Self-affine Methods Dealing with the Dataset of Spatial Elementary Grade Distribution
WAN Li,WANG Qing-fei.Analysis on Application of the Self-affine Methods Dealing with the Dataset of Spatial Elementary Grade Distribution[J].Advance in Earth Sciences,2007,22(4):357-361.
Authors:WAN Li  WANG Qing-fei
Institution:1.School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006,China; 2.State Key Laboratory of Geological Processes and Mineral Resources,China University of Geosciences, Beijing 100083,China;3.Key Laboratory of Lithosphere Tectonics and Lithoprobing Technology of Ministry of Education , China University of Geosciences, Beijing 100083,China
Abstract:Hurst parameter of self-affine fractal is the favorable parameters for studying the data of geological profiles.Hurst parameters of data series of gold grade,derived from notch grooves in different exploratory lines,are calculated by the methods of incremental standard deviation,curve length transform and rescaled range analysis(R/S),and the applicability of these methods is evaluated affectively.As uniform scaling analysis taken in the three methods,the plots by the first method show poor linear relationship in all the applications,the rear points obtained from the second method fluctuate in part of the applications,and the plots by the last method show good linear relationship in the most applications.Therefore,the restrictions of the dataset capacitance and the analysis scale for the incremental standard deviation method are more than those for the curve length transform method,and the R/S method can be applied widely than the two other methods and it is suitable for statistic analysis of small dataset.Moreover,the Hurst parameter received from the curve length transform method can reflect the spatial fluctuation intensity of gold grade,while the same parameter obtained by R/S analysis judges the persistence of grade distribution.
Keywords:Self-affine fractal  Hurst parameter  Persistence  Metallogenic element  Jiaodong peninsula
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