基于多重分形的花岗岩结构区分方法初探——以蓝田铀矿花岗岩样品为例

Elementary Study on the Classification Method of Granite Texture With Multifractal:A Case Study of Granite Samples From Lantian Uranium Deposit

自然地物表面复杂,难以用普通的数学参量进行表达,多重分形理论提供了一种对自然地物进行定量描述的新方法。花岗岩型铀矿床是我国4大铀矿床类型之一,因而研究花岗岩结构的定量特征,能为遥感找矿提供信息。文章通过对花岗岩的手标本照片进行分形几何特征研究,介绍了使用盒维数和多重分形谱对手标本照片进行计算的方法,计算结果表明对于成分相同粒度结构不同的花岗岩,盒维数和多重分形谱均存在与粒度结构相关的差异,这些差异对于遥感岩性识别具有重要意义。

The surface of natural objects is complex and difficult to express with ordinary mathematical parameters. Multifractal theory provides a new method for the quantitative description of natural objects.Granite type uranium deposit is one of four major uranium deposit types in China, research on quantitative traits of granite textures may help the lithology identification for uranium exploration. Through the study of fractal geometric characteristics of the hand specimen photos of the granite, calculation methods of the box dimention and multifractal spectra were used and the results showed that there are differences in box dimention and multifractal spectra of granites with the same components but different textures. These differences are of great significance for remote sensing image lithology recognition.