Upper-bound solution for support force of tunnel face under seepage conditions based on Hoek-Brown criterion
To effectively estimate the critical support force of tunnel face under seepage conditions,a multi-cone instability mechanism was proposed for assessing the stability of tunnel faces in saturated seepage rock stratum based on the Hoek-Brown strength criterion and the composite tangential method. Within the framework of the upper-bound theorem of limit analysis,the external work rate of the failure block and seepage forces,as well as the internal energy dissipation rate of rock resistance,were derived,and the upper-bound analytical solution of the critical support forcewas obtained by solving the work rate bal-ance equation. The results show that the composite tangential method provides higher computational accuracy compared to the traditional generalized tangential method. The groundwater has a significant impact on tunnel face stability,and it is a crucial factor for the safety of tunnel construction. The influence of different parameters on the stability of tunnel face is evaluated in detail,and the stability response chart is given. The research results can provide a reference for the evaluation on the stability of rock tunnel face in water-rich areas.
tunnel faceseepagecritical support forceupper-bound solutionface stability