Fractal invariable distribution and its application in large-sized and super large-sized mineral deposits  

作　　者：Wei Shen 

机构地区：[1]State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing 100083, China

出　　处：《Geoscience Frontiers》2011年第1期87-91,共5页地学前缘（英文版）

基　　金：supported by the National Basic Research Program of China(Grant No.2006CB701406);the National Natural Science Foundation of China(Grant Nos.40672196, 40638041);the Program of Introducing Talents of Discipline to Universities of China(Grant No.B07011)

摘　　要：The self-similar is a common phenomena arising in the field of geology. It has been shown that geochemical element data, mineral deposits, and spacial distribution conform to a fractal structure. A fractal distribution requires that the number of objects larger than a specified size have a power-law dependence on size. This paper shows that a number of distributions, including power-function, Pareto, lognormal, and Zipf, display fractal properties under certain conditions and that this may be used as the mathematical basis for developing fractal models for data exhibiting such distributions. The summation method is developed on the basis of fractal models to determine thresholds for Au data in Shandong Province, China. The anomalous area is enclosed by contours which have contour values greater than or equal to threshold （200 × 10^- 9） and contains known large-sized and super large-sized gold mineral deposits.The self-similar is a common phenomena arising in the field of geology. It has been shown that geochemical element data, mineral deposits, and spacial distribution conform to a fractal structure. A fractal distribution requires that the number of objects larger than a specified size have a power-law dependence on size. This paper shows that a number of distributions, including power-function, Pareto, lognormal, and Zipf, display fractal properties under certain conditions and that this may be used as the mathematical basis for developing fractal models for data exhibiting such distributions. The summation method is developed on the basis of fractal models to determine thresholds for Au data in Shandong Province, China. The anomalous area is enclosed by contours which have contour values greater than or equal to threshold （200 × 10^- 9） and contains known large-sized and super large-sized gold mineral deposits.

关 键 词：Fractal modeling Fractal dimension Geological anomaly Gold mineral deposit 

分 类 号：O484.1[理学—固体物理] P618.51[理学—物理]