基于二维逾渗相变重整化群的混凝土重力坝断面破坏评价

Development of cross-section damage based on two-dimensional percolation transition with renormalization group theory for concrete gravity dam

针对混凝土重力坝失效路径具有方向性,可认为类似于渗流通道的特性,提出基于二维逾渗相变重整化群的混凝土重力坝断面破坏评价方法.在传统正方形单元等损伤概率逾渗模型的基础上,推导了正方形单元不等损伤概率模型,确定了梯形原胞、三角形原胞破坏情况,建立了三角形断面逾渗相变重整化群模型,并以某混凝土重力坝断面为例,针对上、中、下部不同单元损伤概率下的整体断面破坏概率进行比较研究.迭代计算结果表明,当单元损伤概率小于0郾40 时,大坝断面整体处于安全状态;当损伤概率在0.40 -0.60 时,整体安全性降低,结构由安全向整体破坏过渡;当损伤概率大于0郾60 时,整体安全性极低,此时若外界环境恶化,极有可能发生整体贯穿破坏.

With regard to failure paths in concrete gravity dams, which have similar characteristics to seepage channels, the cross-section damage method for evaluating concrete gravity dams is proposed on the basis of a two-dimensional percolation transition renormalization group. First, according to the percolation transition model of square units with equal local damage probabilities, the unequal local damage probability model is determined. Then, the trapezoid and triangle primitive cell damage types are determined. The percolation transition model with triangular sections is established. Finally, taking a concrete gravity dam section as an example, the probability of cross-section damage is analyzed. The structure is divided into three parts:the upper, middle, and lower parts. The local damage probabilities of the three parts are unequal. The results of iterative calculation show that when the local damage probability is less than 0. 40, the dam section is safe. When it varies from 0. 40 to 0. 60, the overall safety decreases, with a transition from safe to damage overall. When the probability is greater than 0. 60, the overall safety is very low. Cross-section damage may occur if the external environment worsens.