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大尺度散体组构分维和SOC判据研究
引用本文:高召宁,姚令侃,苏凤环,齐颖,杨庆华.大尺度散体组构分维和SOC判据研究[J].水土保持通报,2007,27(1):86-91.
作者姓名:高召宁  姚令侃  苏凤环  齐颖  杨庆华
作者单位:1. 西南交通大学,土木工程学院,四川,成都,610031;安徽理工大学,资源开发与管理工程系,安徽,淮南,232001
2. 西南交通大学,土木工程学院,四川,成都,610031
基金项目:国家自然科学基金;国家自然科学基金
摘    要:介绍了15组散粒体自组织临界性与粒径的非均匀性有关的真实沙堆模型,分析了实验表现出来的3种动力学行为:即准周期分布、正态分布和负幂律分布;进而研究了非均匀系数不能描述系统组构的自相似性和作为自组织临界性的判据。应用分形理论研究了沙堆组构的分形特征。研究结果表明,非均匀系数为1.53~5.0时,沙堆组构具有良好的分形特征,分维数在非均匀系数<2.85时增长较快,>2.85时增长较慢,但分维数不超过3.0。分析了沙堆组构的分形特征与自组织临界性的内在联系,指出呈现出自组织临界性的系统具有稳健的分形结构,并讨论了自组织临界性的判据。最后探讨了SOC理论在山地灾害预测预报和防治工程设计中的应用。

关 键 词:大尺度  组构分形  判据  山地灾害  防治工程
文章编号:1000-288X(2007)01-0086-06
收稿时间:2006/6/27 0:00:00
修稿时间:06 27 2006 12:00AM

Configuration Fractal and SOC Criterion of Large Scale Granular Material and Their Application in Mountain Hazards
GAO Zhao-ning,YAO Ling-kan,SU Feng-huan,QI Ying and YANG Qing-hua.Configuration Fractal and SOC Criterion of Large Scale Granular Material and Their Application in Mountain Hazards[J].Bulletin of Soil and Water Conservation,2007,27(1):86-91.
Authors:GAO Zhao-ning  YAO Ling-kan  SU Feng-huan  QI Ying and YANG Qing-hua
Abstract:Fifteen groups of real sand-pile model are introduced,whose self-organized criticality in granular mixtures is strongly influenced by non-uniform degree of granular material.Three different dynamic behaviors showed in the experiment,such as quasi-period distribution,normal distribution and power law distribution,are analyzed.It is deduced that non-uniform degree is neither used to describe the self-comparability of system configuration nor used as the criterion of self-organized criticality(SOC).Fractal theory is applied to study fractal characteristics of sand-pile structure.It is showed that sand pile takes on a good fractal structure as non-uniform degree is between 1.53 and 5.0. Fractal dimension rises fast when non-uniform degree is less than 2.85,and rises slow when it is greater than 2.85 but does not exceed 3.0.Moreover,through the analysis of the intrinsic relation between fractal characteristics of sandpile and SOC,the system presented SOC is found to have a steady fractal structure.The criterion for SOC is discussed and application of the SOC theory is prospected.Application of SOC theory in the forecast and prediction of mountain hazards and their control engineering design are discussed at length.
Keywords:SOC
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