横观各向同性土体中压力隧洞的应力和位移计算

基于Biot固结理论，考虑了土体和孔隙流体压缩性，通过对控制方程的解耦，得到在横观各向同性饱和土体中圆形隧洞边界上作用随时间变化的轴对称荷载或流体压力所引起的应力、位移和孔隙水压力场在拉普拉斯变换域中的解析表达式，运用拉普拉斯数值逆变换进行算例分析,得到在时间域中的解，讨论了单级加载和循环加载对计算结果的影响，并与瞬时加载条件下的结果进行了比较。同时也分析了土体的横观各向同性性质对应力、位移和孔隙水压力场的影响。

Stress and displacement fields around a pressure tunnel in transversely isotropic soil

Based on Biot’s theory of consolidation, an analytical solution of stress, displacement and pore pressure induced by time-dependent axisymmetric load or fluid pressure applied on the boundary of tunnel in a transversely isotropic soil is obtained in the Laplace transform domain by uncoupling the governing equations, in which the soil is assumed to be poroelastic material with compressible constituent. By numerically inverse Laplace transform, the results in time domain are obtained and used to discuss the influence of instantaneous loading, one step loading, and cyclic loading, and transversely isotropic property of soil on the stress, displacement and pore pressure fields.