基于多重分形的大坝裂缝整体性态分析  

Analysis of Dam Crack State Based on Multifractal

作　　者：杨景文[1,2] 赵二峰[1,2] 王欢[3] 梁嘉琛 赵鲲鹏[1,2] 

机构地区：[1]河海大学水文水资源与水利工程科学国家重点实验室,江苏南京210098 [2]河海大学水资源高效利用与工程安全国家工程研究中心,江苏南京210098 [3]四川大学水利水电学院,四川成都610044

出　　处：《水电能源科学》2015年第5期55-58,共4页Water Resources and Power

基　　金：江苏省杰出青年基金项目(BK20140039);国家自然科学基金项目(51279052);新世纪优秀人才支持计划资助项目(NCET-11-0628);水利部公益性行业科研专项经费项目(201201038)

摘　　要：为准确评价大坝坝体裂缝的整体性态,以某碾压混凝土重力坝不同高程处的3条裂缝序列为例,应用多重分形消除趋势波动方法分析大坝裂缝实测序列的多重分形特征,通过替换序列分形特征产生的原因,并用Hurst指数、分形谱宽度和分形谱高度来表征其多重分形特征强度,统计分析了不同高程和坝段的9条裂缝的多重分形特征强度。结果表明,裂缝序列存在较强的多重分形特征,且由序列本身的长程相关性造成;坝体整体裂缝的多重分形强度大致相同,说明坝体结构的整体性态较好,变形以线弹性变形为主,处于安全状态。In order to evaluate the overall dam cracks behavior accurately, taking a RCC gravity dam＇s 3 cracks series of different elevation as the research object, multifractal detrended fluctuation（MF DFA） method is used to analyze multi fractal characteristics of dam crack measured series. By analyzing the reasons of fractal feature of surrogate series, Hurst index, spectrum width and height of the spectrum are used to characterize its strength o{ multifractality. Meanwhile, multifractal characteristics strength of 9 crack series of different elevations and dam sections have been statistical ana- lyzed. The results show that the crack series have strong multifractal characteristics, which are caused by the long-range correlation of the series; the multifractal strength of the dam global cracks is roughly same, which indicates that the glob- al state of dam＇s structural is good with linear elastic deformation and it is in a safe state.

关 键 词：大坝裂缝 多重分形特征 HURST指数 长程相关性 

分 类 号：TV698.1[水利工程—水利水电工程]