贵阳鱼简河水库坝址区岩体结构面的多重分形  

Multifractal for structural planes in rock mass of dam site area of Yujianhe Reservoir,Guiyang

作　　者：王洪兴[1] 王冠[2] 唐辉明[1] 王亮清[1] 

机构地区：[1]中国地质大学工程学院,武汉430074 [2]中国地质大学计算机学院,武汉430074

出　　处：《岩土力学》2006年第7期1166-1170,共5页Rock and Soil Mechanics

摘　　要：研究了贵阳市鱼简河水库坝址区岩体结构面的多重分形。在研究区分别运用不同剖面岩体结构面测量统计结果进行多重分形分析,首先,利用选定的A区进行结构面多重分形分析,依次选取不同的单元尺度值将该区域划分为正方形网格并测量出每个单元的信息量;取适当不同的实数值,计算分配系数;利用直线拟合方法算出幂指数;利用有关方程,求出多重分维值、奇异指数和分维谱函数。然后,运用同样方法对其它选定的区域进行多重分形,分别计算出多重分维值、奇异指数和分维谱函数并进行对比,得出A区岩体结构面的多重分维值、奇异指数和分维谱函数最大值和平均值均较大,表明A区岩体结构面较发育且复杂,亦说明A区岩体的工程性质较差,并根据多重分形结果列出了各岩体质量优劣的大致排列顺序。The multifractal of the structural planes in rock mass of dam site area of the Yujianhe Reservoir in Guiyang, the capital Gnizhou Province, is studied. The results of measurement and statistics of the structural planes in rock mass are applied to study multifractal. At first, multifractal for structural planes is studied using selected area in Area A. Different unit measure in different unit is selected to divide the studied area into squared unit mesh. And then, suitable different real number values are chosen, scale index is gotten using linear fitting method; their relation is obtained. Multifractal dimension, singular index and multifractal spectrum values are obtained using related formulae. Finally, multifractal dimension values, singular index and multifractal spectra values in other areas are obtained using the same method and contrasted. Its results show that the maximum values and average values of multifractal dimensions, singular indexes and multifractal spectra values are in Area A greatest in all selected areas. It shows that the structural planes in rock mass of Area A are complex and inhomogeneous; its engineering property and quality of rock mass are poorer. And the order of arrangement in good and poor quality is given according to the results of multifractal.

关 键 词：多重分形 结构面 岩体 分维 多重分形谱 

分 类 号：TU452[建筑科学—岩土工程]