Fractal invariable distribution and its application in gold mineral deposits in Shandong Province, China
The self-similarity is a common phenomenon in geology. It has been shown that geochemical element data, mineral deposit and its space distribution have fractal structures. A fractal distribution requires that the number of objects larger than a specified size has a power-law dependence on the size. This paper shows that a number of distributions, including power-function, Pareto, log-normal 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 enclosed by contours which have contour values greater than or equal to threshold (200×10-9) contain the known large-sized and super large-sized gold mineral deposits.