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散体云母片岩粒度分形特征及其与抗剪强度参数的关系
引用本文:梁维,李克钢,侯克鹏,杜後.散体云母片岩粒度分形特征及其与抗剪强度参数的关系[J].岩土力学,2012,33(3):767-772.
作者姓名:梁维  李克钢  侯克鹏  杜後
作者单位:昆明理工大学 国土资源工程学院,昆明 650093
基金项目:云南省自然科学基金项目(No.2009ZC020M);云南省科技厅科技创新工程计划项目(No.2008KA001)
摘    要:在室内试验的基础上,应用分形几何理论研究某露天矿排土场散体云母片岩的粒度分形特征,探讨了分维数与散体云母片岩物料中粗颗粒含量及其抗剪强度参数的相关性。研究结果表明:(1)分维数与散体物料中粗颗粒含量呈反方向变化关系,即分维数会随着粗颗粒含量的增大而减小;(2)当分维数值在1.887~2.631范围内时散体云母片岩粒度组成级配良好,说明分维数可以代替Cu、Cc用来表征散体岩石物料的粒度组成及其级配优良性;(3)在优良级配下分维数与散体剪切强度参数中的内摩擦角之间具有比较好的相关性,并呈负指数函数关系,而黏聚力与分维数规律性不明显。

关 键 词:分形特征  散体云母片岩  分维数  粒度级配  抗剪强度参数
收稿时间:2010-10-26

Fractal characteristics of granularity of loose micaschist and its relation to shear strength parameters
LIANG Wei , LI Ke-gang , HOU Ke-peng , DU Jun.Fractal characteristics of granularity of loose micaschist and its relation to shear strength parameters[J].Rock and Soil Mechanics,2012,33(3):767-772.
Authors:LIANG Wei  LI Ke-gang  HOU Ke-peng  DU Jun
Institution:Faculty of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, China
Abstract:Based on the laboratory tests,the fractal characteristics of granularity for loose micaschist were studied by the fractal geometry theory;and the relevance of the fractal dimension with coarse granule and shear strength parameters was discussed.The results show that:(1) the change trend of fractal dimension is inversely related to the coarse granulae,that is the fractal dimension will increase with the decrease of coarse granulae;(2) according to the calculations,when the fractal dimension is in the range of 1.887-2.631 the size distribution grading of loose micaschist is good,which indicated that the fractal dimension can take the place of Cu and Cc to represent the size distribution grading of loose rock materials;(3) there is a better relevance between the value of fractal dimension and internal friction angle under the fine grading,and the functional relation of which is negative exponent,but the regularity is not obvious between the cohesive and the fractal dimension.
Keywords:fractal characteristics  loose micaschist  fractal dimension  size distribution grading  shear strength parameters
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