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砂岩铀矿的分形特征
引用本文:戴杰敏,李庆阳.砂岩铀矿的分形特征[J].矿物岩石地球化学通报,2001,20(1):35-41.
作者姓名:戴杰敏  李庆阳
作者单位:四川省核工业地质局,
摘    要:铀矿化样品可视为m个变量构成的相空间中的点集 ,用改变子空间尺度的方法求得砂岩铀矿化样品在一维、二维、三维和四维相空间中的分维为 0 .74、1.0 3、1.2 3和 1.5 4。不同矿床和同一矿床的不同矿石类型、不同高程和不同温度范围的矿化样品在不同变量及其组合构成的同维相空间中的分维相同或相近 ,反映它们的空间结构自相似。本文还探讨了相空间维数与分维数、分维数与子空间尺度的关系 ,并评述了分维的地质意义。

关 键 词:分维  相空间  自相似  空间结构  砂岩铀矿
文章编号:1007-2802(2001)01-0035-07
修稿时间:2000年11月17

A Study on Fractal Dimension for Sandstone Type Uranium Ore Deposits
DAI Jie min,LI Qing yang.A Study on Fractal Dimension for Sandstone Type Uranium Ore Deposits[J].Bulletin of Mineralogy Petrology and Geochemistry,2001,20(1):35-41.
Authors:DAI Jie min  LI Qing yang
Abstract:The uranium mineralized samples may be considered as point sets within a phasespace formed by m variables. Using the method of changing subspace scale, were calculated the fractal dimension values of 0.74, 1.03, 1.23 and 1.54 within 1 ,2 ,3 and 4 dimension phase spaces, for mineralized samples in the sandstone type uranium, respectively.The fractal dimension values for uranium mineralized samples in different ore deposits and ore types,in different elevation and temperature are identical or similar within the same phase space formed by different variables and their assemblages.It is showed that their space structure is characterized by self similarity.The interrelations between the dimensions of phase space and the fractal dimension,and the fractal dimension number and subspace scale are probed into,and geological significances of fractal dimension are also discussed in this paper.
Keywords:fractal dimension  phasespace  selfsimilarity  space structure  sandstone  type uranium ore deposit
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