岩体结构分形及应用研究

岩体结构包括两个基本要素:结构面和结构体。通过分形理论研究岩体结构,得出结构面和结构体分布具有分形特征。根据结构网络图,可分别求出结构面和结构体的分形维数D_(PF)和D_(VF)。结构面分布分形维数D_(PF)越大,反映结构面分布越复杂,优势面(南京大学罗国煜教授提出)发育的方向范围就越大,相应地岩休质量就更差;结构体分布分形维数D_(VF)越大,反映结构体大小分布的状况是大的结构体所占分量趋于增加,结构面的密度、迹长、总面积趋于变小,则岩体质量趋于变好。最后指出结构面和结构体分布分形维数是决定岩体质量的两个指标,是对岩体质量进行评价的合适指标。

Study on the Fractal of Structure of Rock Mass and Its Application

Structure of rock mass contains two basic factors: the structural plane and body. Based on fractal theory, the structure of rock mass is studied. It is concluded that the distributions of structural plane and body have a fractal feature. According to the figure of structural network, D_(PF) and D_(VF), the fractal dimensions of the structural plane and body are calculated, respectively. The larger D_(PF) is, the more complex the distribution of structural plane is and the wider the range of directional distribution of preferred plane is and the worse the quality of rock mass is. The larger the fractal dimension of distribution of structural body is, the larger the propotion of big structural bodies is and the less the density, length and area of structural plane are and the better the quality of rock mass is. Finally, it is pointed out that the fractal dimensions of structure of rock mass D_(PF) and D_(VF) are two indexes for determining the quality of rock mass and suitable for evaluating the quality of rock mass.