基于非线性M-C准则的深埋土质隧道三维塌落破坏上限分析
Three-dimensional upper bound limit analysis of deep soil tunnels based on nonlinear Mohr-Coulomb criterion
-
摘要: 围岩条件较差时,深埋土质隧道在隧道开挖过程中容易发生塌方,准确预测深埋土质隧道塌方土体的范围极其重要,目前能预测深埋土质隧道塌落范围的理论研究不够成熟。为了提前预测土质隧道围岩顶部塌落体的范围,基于非线性Mohr-Coulomb准则和极限分析上限法,推导出深埋土质隧道在三维破坏机制下塌落体的上限表达式,得到了深埋土质隧道塌落体范围的精确解。通过数值软件Matlab绘制出了塌落体的三维形状,研究了各参数对深埋隧道塌落体形状的影响,并与既有研究进行对比分析,研究结果表明:土体中各参数、隧道顶部圆弧的半径和支护力对深埋土质隧道塌落体的范围影响比较大;基于非线性Mohr-Coulomb准则下深埋土质隧道塌落体的上限分析可以求解出有、无支护力条件下塌落体的高度和宽度,求解合理、可靠,并能给出防止深埋土质隧道塌方发生的支护力大小,可为隧道工程设计提供理论依据。Abstract: When the surrounding rock conditions are poor, the buried earth tunnel is prone to collapse during the tunnel excavation process. It is extremely important to accurately predict the extent of the collapsed soil in the deep buried soil tunnel. The theoretical study to predict the collapse range of the deep-buried soil tunnel is not mature enough. In order to predict the extent of the collapse of the surrounding rock of the soil tunnel in advance, based on the nonlinear Mohr-Coulomb criterion and the limit analysis upper bound method, the upper limit expression for the collapse block of the deep-buried soil tunnel under the three-dimensional failure mechanism is derived, and the exact solution to the extent of the tunnel collapse is obtained. The three-dimensional shape of the collapsed body is drawn by the numerical software Matlab. The influences of various parameters on the shape of the buried tunnel collapse are studied and compared with the existing researches. The results show that the parameters in the soil, the radius of the top arc of the tunnel and the supporting pressure have a great influence on the range of the collapse block. Based on the nonlinear Mohr-Coulomb criterion, the upper bound analysis of the buried earth tunnel collapse block can solve the height and width of the collapsed body with and without support force, and the solution is reasonable and reliable. The proposed method can also give the support force to prevent the collapse of deep-buried soil tunnels, which can provide a theoretical basis for the engineering design of tunnels.