Analysis on Application of the Self-affine Methods Dealing with the Dataset of Spatial Elementary Grade Distribution
Received date: 2007-01-20
Revised date: 2007-03-01
Online published: 2007-04-10
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 parameterobtained by R/S analysis judges the persistence of 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]. Advances in Earth Science, 2007 , 22(4) : 357 -361 . DOI: 10.11867/j.issn.1001-8166.2007.04.0357
[1]Yang Xiaoyong. On the studies of ductile shear zones: Their geological significance[J].Advances in Earth Science,2005,20(7):765-771.[杨晓勇.论韧性剪切带研究及其地质意义[J].地球科学进展,2005, 20(7):765-771.]
[2]Yang Maosen, Li Qinghua,Yang Haiwei. Study on the analyse geo-chemical anomaly by fractal model-example for Jiaodong peninsula[J].Advances in Earth Science,2005, 20(7):809-814.[杨茂森,黎清华,杨海巍.分形方法在地球化学异常分析中的运用研究—以胶东矿集区为例[J].地球科学进展,2005, 20(7):809-814.]
[3]Montanarl A, Taqqu M S, Teverovsky V．Estimating long-range dependence in the presence of periodicity：An empirical study[J]．Mathematical and Computer Modelling，1999，29：217-228.
[4]Deng Jun, Wang Qingfei, Yang Liqiang,et al. An analysis of the interior structure of the gold hydrothermal metallogenic system of the northwestern Jiaodong peninsula, Shandong province[J].Earth Science—Journal of China University of Geosciences，2005,30(1):102-108.[邓军，王庆飞，杨立强,等.胶东西北部金热液成矿系统内部结构解析[J].地球科学——中国地质大学学报，2005,30(1):102-108.]
[5]Turcotte D L. Fractals and Chaos in Geology and Geophysics[M]. Cambridge:Cambridge University Press,1997.
[6]Long Qiwei. Fractal and Complexity in Metal[M].Shanghai: Shanghai Scientific & Technical Publishers,1999.[龙期威.金属中的分形与复杂性[M].上海:上海科学技术出版社, 1999.]
[7]Mandelbort B B. Self-Affine and fractal dimension[J]. Physica Scripta,1985,32:257-260.
[8]Li Changjing, Ma Tuhua, Zhu Xingsheng,et al.Fractal Chaos and ANN in Mineral Exploration[M].Beijing: Geological Publishing House,1999:13-38.[李长江,麻土华，朱兴盛，等.矿产勘查中的分形、混沌与ANN[M].北京:地质出版社, 1999:13-38.]
[9]Meng Xianguo. R/S analysis and the fractal processing for geochemical data[J].Earth Science—Journal of China University of Geosciences,1991,16(3):281-287.[孟宪国. R/S分析和地球化学数据的分形处理[J]. 地球科学——中国地质大学学报, 1991,16(3):281-287.]
[10]Peters E E. Fractal Market Analysis[M]. John Wiley & Sons,Lnc,1994.
[11]Bollerslev T,Mikkelsen H. Modelling and pricing long-memory in stock market volatility[J].Journal of Econometrics,1996,73:151-184.
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