排土场散体岩石粒度分布与剪切强度的分形特征
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摘要
应用分形理论研究了矿山排土场散体岩石粒度分布的分维规律,建立了分维数与排土场散体物料剪切强度参数的定量关系式。研究表明,排土场岩石块度分布具有良好的分形结构,分维数值大小随着排土场高度的增加而增加,但不超过3。当采样尺度范围一定时,分维数越大,散体中细颗粒含量越多,平均粒径也越小。分维数与散体岩石的剪切强度参数摩擦角j呈负指数关系。分维数值可用于排土场粒度资料的统计分析与剪切力学强度参数的预测。
The fractal characteristics of size distribution of bulky rock material in dumping site of mines are studied by using fractal geometry theory. The quantitative equations reflecting the relation between fractal dimensions and shear strength parameters are also put forward. It is found that there is an excellent fractal structure of size distribution of bulky rock material in waste dump, the value of fractal dimension increases with the increasing height of waste pile, but it is not over 3. The results also show that if the scope of measuring scale is unvaried, the contents of fine grain increases and the average grain-size decreases with the increasing value of fractal dimension. The correlation between the value of fractal dimension and the friction angle which is the shear strength parameter is negative exponential. The value of fractal dimension can be used in predicting shear strength and as a kind of measure in the size statistical analysis of bulky rock material in waste dump.
The fractal characteristics of size distribution of bulky rock material in dumping site of mines are studied by using fractal geometry theory. The quantitative equations reflecting the relation between fractal dimensions and shear strength parameters are also put forward. It is found that there is an excellent fractal structure of size distribution of bulky rock material in waste dump, the value of fractal dimension increases with the increasing height of waste pile, but it is not over 3. The results also show that if the scope of measuring scale is unvaried, the contents of fine grain increases and the average grain-size decreases with the increasing value of fractal dimension. The correlation between the value of fractal dimension and the friction angle which is the shear strength parameter is negative exponential. The value of fractal dimension can be used in predicting shear strength and as a kind of measure in the size statistical analysis of bulky rock material in waste dump.
引文
[1]黄广龙,周建,龚晓南.矿山排土场散体岩土的强度变形特性[J].浙江大学学报(工学版),2000,34(1):54-59.
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[6]陈静曦.测定岩石破损分形维的方法[J].岩土力学,1993,14(2):19-23.
[7]王谦源,姜玉顺.岩石破碎体的粒度分布与分形[J].中国矿业,1997,6(3):50-55.
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[9]罗仁美.印子峪排土场安息角与岩石块度分布规律研究[J].矿冶工程,1995,15(4):16-9.
[10]颜荣贵,曹文贵,刘文献,等.庙儿沟排土场边坡稳定性研究[J].矿冶工程,1997,17(1):15-9.
[11]郑德如.回归分析和相关分析[M].上海:上海人民出版社,1984,16-26.
[2]李林,夏禄清.矿山排土场稳定性研究的若干问题探讨[J].云南冶金,1998,27(5):8-12.
[3]黄润生.混沌及其应用[M].武汉:武汉大学出版社,2000,176-239.
[4]高安秀树.分数维[M].沈步明,常子文译,北京:地震出版社,1989.7-31.
[5]谢和平.分形几何及其在岩土力学中的应用[J].岩土工程学报,1992,14(1):14-24.
[6]陈静曦.测定岩石破损分形维的方法[J].岩土力学,1993,14(2):19-23.
[7]王谦源,姜玉顺.岩石破碎体的粒度分布与分形[J].中国矿业,1997,6(3):50-55.
[8]杨更社.凿岩粉尘粒度分布的分形结构[J].阜新矿业学院学报,1994,13(1):118-121.
[9]罗仁美.印子峪排土场安息角与岩石块度分布规律研究[J].矿冶工程,1995,15(4):16-9.
[10]颜荣贵,曹文贵,刘文献,等.庙儿沟排土场边坡稳定性研究[J].矿冶工程,1997,17(1):15-9.
[11]郑德如.回归分析和相关分析[M].上海:上海人民出版社,1984,16-26.
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