多重分形与地球化学元素的分布规律

MULTIFRACTAL AND GEOCHEMICAL ELEMENT DISTRIBUTION PATTERNS

为进一步探讨用分形与多重分形的方法研究地球化学场中元素的分布规律的重要意义,运用Q Q图和直方图探讨了元素的空间分布规律,随后运用多重分形矩方法研究了安徽省长江以南以北各约22000km2和18100km2区域内5489个和4524个水系沉积物样品中14种元素的分形分布规律。结果表明,金属地球化学场元素在空间上的分布并不是简单的正态或对数正态分布,而四连续多重分形分布,其α f(α)曲线上凸且连续,拥有主要大型矿床的安徽江南地区α f(α)曲线的开口明显大于成矿相对较弱的安徽江北地区。元素的多重分形谱函数的形态特征对区域成矿潜力研究将具有一定的指示意义。

It is of great significance to study geochemical element distribution patterns by using fractal and multifractal methods. This paper first studied the element distribution patterns by the QQ plot and histogram method, and then studied the multifractal spectrum function shapes of some elements in metallic geochemical fields based on a typical multifractal methodthe method of moments. The data about 14 elements from 5489 and 4524 stream sediments in southern and northern Anhui Province, South China, are presented. The results indicate that the metallic geochemicalfield elements are multifractal. The ranges of singularities of elements in southern Anhui Province are larger than those in northern Anhui Province, and almost all large ores explored are located in the former district, which will provide insight into the study of oreforming potential.