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微观尺度上土壤孔隙、岩石孔洞缝、矿物组构的分形与多重分形研究受到广泛关注,典型的P-A(周长-面积)分形模型、盒子维数等也广泛应用于其中.云南个旧锡多金属矿床老厂期北山垂向上七段玄武岩发育完整,但对其形成机理及对成矿的贡献有较多的争议.这七层玄武岩中磁黄铁矿广泛发育.基于GIS的P-A分形模型研究磁黄铁矿颗粒的大小、颗粒的不规则性及空间分布特征,探讨磁黄铁矿这一标志性矿物在不同层段玄武岩中的变化情况,并为玄武岩的成因给出新的解释.结合盒子维数,分形分析结果显示,从第一段玄武岩到第七段玄武岩磁黄铁矿的面积分维DA和周长分维DP总体保持不变的态势;而周长-面积分维DPA却有逐渐增大的趋势.DPA增大表明随着深度的增加,磁黄铁矿颗粒不规则性增强.
The fractal and multifractal studies of soil pores, rock pore seams and mineral assemblages have attracted much attention at the microscopic scale. Typical PA (fractal-area) fractal models and box dimensions are also widely used in this field. There are many controversies about its formation mechanism and contribution to metallogeny. The pyrite in these seven basalts has been widely developed. The fractal model of PA based on GIS magnetism The size of pyrite, the irregularity of grains and the spatial distribution of pyrite, and discuss the change of pyrite, a typical mineral in different layers of basalt, and provide a new explanation for the genesis of basalt. The fractal dimension and fractal results show that the fractal dimension DA and the fractal dimension DP of the basalt from the first to the seventh basalt pyrite remain the same in general while the DPA of the perimeter and area fractal Increasing trend of DPA shows that with the increase of depth, the irregularity of pyrrhotite increases.