饱和土体中压力隧洞衬砌-土相互作用解析研究

基于Biot理论，采用渗流一力学耦合模型研究分析了内水压力作用下饱和土体中压力隧洞衬砌一土的相互作用问题。假定衬砌和土体均为饱和多孔介质，且衬砌和土体完全接触。运用积分变换理论，在hplace变换域中得到了衬砌和土体中的应力、位移和孔隙水压力解答，并利用bplace数值逆变换得到时域中的解。文末的算例分析结果表明：(1)采用渗流一力学耦合模型能较好地反映隧洞衬砌与土体相互作用中应力和变形的随时间变化过程；(2)衬砌和土体的相对刚度对隧洞的计算结果有很大影响。

Analytical Solution of Soil-structure Interaction of a Pressure Tunnel in Saturated Soil

Based on Boit's theory, the soil-structure interaction in a pressure tunnel filled with water in saturated soil is investigated with analytical method and the coupled poro-mechanical model. It is assumed that the lining and saturated soil are porous materials and that soil and structure completely contact each other. The analytical solutions of stress, displacement and pore pressure are derived in the Laplace transform domain. The solutions in time domain are obtained by inverting Laplace transform. Numerical examples indi cate that the coupled poro-mechanical model can primely reveal the time-dependent process of stress and deformation in the interaction of soil-structure in a pressure tunnel, and the relative rigidity of soil and structure exerts remarkably influence on the computational result of pressure tunnel.