孔隙水作用下浅埋圆形隧道支护反力上限计算

摘要

浅埋隧道的支护反力的确定是控制隧道围岩稳定性的关键，针对浅埋圆形隧道，基于极限分析上限定理和一定的假设，考虑了孔隙水压力作用，计算了内能耗散和外力功率，得到了孔隙水压力作用下浅埋圆形隧道的支护反力的上限解，将浅埋圆形隧道的支护反力求解转化成一个数学优化问题，并利用 MATLAB 编制相应计算程序。计算结果表明：埋深 H、内摩擦角φ、洞径 h、孔隙水压力系数λ都对浅埋圆形隧道的支护力有很大的影响。%The determination of supporting force is the key to maintain the stability of shallow tun-nels.Based on limit analysis theorems as well as certain assumptions,shallow circular tunnels are stud-ied in this paper,.Considering the pore water pressure,the internal energy dissipation and external pow-er are computed to obtain the upper-bound solution of supporting force for shallow circular tunnels subjec-ted to the pore-water pressure.The supporting force of shallow tunnels has been transformed into a math-ematic optimization problem and the corresponding computer program is coded using MATLAB.The re-sults show that:the buried depth H,internal friction angle φ,the diameter h and pore-water pressure co-efficient λhave a great impact on the supporting force.