黏弹性饱和土体中圆形隧洞动力相互作用

基于Biot波动方程，采用渗流力学耦合模型，研究了任意荷载条件下黏弹性饱和土体中半封闭圆形隧洞衬砌 土动力相互作用问题.考虑衬砌材料和土体的多孔性质，隧洞处于半封闭状态，边界部分透水.通过引入4个势函数，并利 用Helmholtz分解原理，在Laplace变换域中得到任意响应模式下的应力、位移和超孔隙水压力解答.利用Laplace数值逆 变换在时间域中得到瞬时、移动等响应模式条件下的数值结果，并讨论了衬砌和土体的相对刚度对隧洞动力响应的影响. 结果表明：不同模式下隧洞的应力、位移和孔隙水压力响应有很大差异，且随相对刚度的增大而减小.

Dynamic interaction of circular tunnel in viscoelastic saturated soil

The dynamic interaction of a partially sealed circular tunnel in viscoelastic saturated soil under arbitrary loads was investigated by using Biot's wave equations and a poro-mechanical coupled model,in which the porous property of the liner and soil was considered and the tunnel was assumed to be partially sealed with partially permeable boundary.By introducing four scalar potential functions and Helmholtz decomposition theorem,the analytical solutions of stress,displacement and pore pressure for arbitrary response modes were derived in Laplace transform domain.Numerical results for several response modes such as breathing mode and translational mode were obtained by inverse Laplace transformation,and were used to discuss the influence of relative rigidity of liner and soil on the dynamic response of the tunnel.It is shown that the responses of stress, displacement and pore pressure are significantly different for different modes,and decrease with the increase of relative rigidity of liner and soil.