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在裂隙岩体二维柔度张量数值试验的基础上,建立了裂隙岩体三维柔度张量及其表征单元体积(REV)尺度研究的简化数值试验方法。首先根据岩体裂隙的统计参数及分布规律,运用蒙特卡罗方法在研究域内获得与实际岩体裂隙同分布的三维随机裂隙网络,提取位于不同方位的岩体试件,运用二维柔度张量的数值试验方法求出各个平面方向上的二维柔度张量,然后根据二维与三维柔度张量的拓扑关系,用数学方法求解裂隙岩体的三维柔度张量。对于含3组正交全贯通裂隙的岩体,通过数值试验获得的柔度张量与理论解相比,其主对角线上各参数的误差在5%以内,表明该数值试验方法较为可靠。最后将此方法运用到小湾水电站工程中,确定左岸坝区裂隙岩体的应力REV为11 m×11 m×11 m,并获得该区域裂隙岩体的三维柔度张量。
Based on the numerical experiment of two-dimensional flexibility tensor of fractured rock mass, a simplified numerical experiment method for the study of three-dimensional flexibility tensor of fractured rock mass and its characterization unit volume (REV) scale is established. Firstly, according to the statistical parameters and distribution laws of rock mass fissures, a three-dimensional random fractured network with the same distribution of rock mass fissures was obtained in the study area by using Monte Carlo method. Specimens from different directions were extracted and two- Dimensional numerical method is used to find the two-dimensional compliance tensor in each plane direction. Then, according to the topological relations of two-dimensional and three-dimensional compliance tensor, the three-dimensional compliance tensor of the rock mass is solved mathematically. For rock mass containing 3 orthogonal full penetration cracks, the flexibility tensor obtained by numerical experiment is less than 5% of the error of the theoretical diagonal, which shows that the numerical test method is more reliable . Finally, this method is applied to the Xiaowan Hydropower Station project to determine the stress REV of the fractured rock mass in the left bank dam area of 11 m × 11 m × 11 m. The three-dimensional compliance tensor of the fractured rock mass in this area is obtained.