Advances in Earth Science ›› 2007, Vol. 22 ›› Issue (4): 357-361. doi: 10.11867/j.issn.1001-8166.2007.04.0357

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Analysis on Application of the Self-affine Methods Dealing with the Dataset of Spatial Elementary Grade Distribution

WAN Li 1,2, WANG Qing-fei 2,3   

  1. 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
  • Received:2007-01-20 Revised:2007-03-01 Online:2007-04-10 Published:2007-04-10

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.

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. 

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