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分形理论和岩石破碎的分形研究
引用本文:单晓云,李占金.分形理论和岩石破碎的分形研究[J].河北理工学院学报,2003,25(2):11-17,30.
作者姓名:单晓云  李占金
作者单位:[1]河北理工学院数理系,河北唐山063009 [2]河北理工学院资源与环境工程系,河北唐山063009
基金项目:河北理工学院科学基金项目 ( 2 0 0 1 Z 2 7)
摘    要:介绍了分形的基本概念和4种分维数的确定方法,探讨了岩石破碎过程中的分形特征,推导了岩石爆破块度分布和分形维数的关系式,并建立了分维数与爆破参数的关系,从而为爆破参数优化进行块度预报提供了科学依据,为岩石破碎理论的研究提供了新的途径。

关 键 词:分形  分维  岩石爆破块度  岩石破碎  维数
文章编号:1007-2829(2003)02-0011-07

Fractal theory,characteristics and its application on rock fragmentation
SHAN Xiao yun ,LI Zhan jin.Fractal theory,characteristics and its application on rock fragmentation[J].Journal of Hebei Institute of Technology,2003,25(2):11-17,30.
Authors:SHAN Xiao yun  LI Zhan jin
Institution:SHAN Xiao yun 1,LI Zhan jin 2
Abstract:The basic conception of fractal is introduced,and the methods for determining four kinds of values of fractal dimensions are analyzed.Furthermore,the fractal characteristics of rock fracturing are discussed,and the relationship between distribution of rock blasting fragmentation and fractal dimension is educed,and the relationship between fractal dimension and blasting parameters is found.Therefore it provides scientific foundation for the rock blasting framents forecasting and the optimization of blasting parameters.A new method is also provided for investigation of rock fragentatal theory.
Keywords:fractal  fractal dimension  blasting fragmentation
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