湖南省金银矿床分布的多重分形分析
MULTIFRACTAL ANALYSIS OF Au-Ag DEPOSITS OF HUNAN PROVINCE
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摘要: 矿床的空间分布具有很强的复杂性和自相似性,分形理论则是人类对具有相似性的复杂现象进行定量描述的一种新方法.目前人们主要采用单一分维模型在不同的尺度范围内求取矿床分布的容量维,本文采用多重分维模型,根据1:200万的湖南省金银矿床分布图分别对29个大中型矿床和全部75个矿床做了多重分形分析,分别获得了其多重分维谱,并对该多重维谱与理论上的多重分维谱进行了比较,分析了其差异形成的原因.研究显示湖南省仍有较好的金银找矿前景.Abstract: The distribution of deposits is characterized by complexity and self-similarity.Fractal theory provides a new method for quantitative description of these character.At present, a single-fractal model is adopted by most researchers to obtain the capacity dimension of distribution of deposits with defferent scales.In view of the deficencies of the model, a multifractal model is introduced to the study of deposit distriution.The multifractal analysis has been worked on 29 large and medium scale deposits and total 75 deposits respectively based on a 1:2 000 000 distribution map of Au-Ag deposits of Hunan Province.The obtained multifractal spectrum is compared to the theoretic spectrum.The analysis shows good prospects for the Au-Ag deposit seaching in the provine.