非饱和岩体三场耦合控制方程

Governing Equations for Coupled Thermo-Hydro-Mechanical Behaviors in Unsaturated Rock Mass

为研究非饱和岩体对温度场-渗流场-变形场三场耦合作用的响应,采用等效连续介质模型,根据质量守恒方程、线动量平衡方程和能量守恒方程以及相应的物性方程(状态方程和本构方程)推导了非饱和岩体三场耦合控制方程,包括岩体变形场控制方程、地下水渗流场控制方程和岩体温度场控制方程.在推导三场耦合控制方程中,舍弃了局部热平衡假设,而采用热弹塑性本构关系,并考虑了温度梯度对地下水渗流的影响.

To study responses of unsaturated rock masses to coupled THM processes, the governing equations of coupled THM behaviors in unsaturated rock masses were derived by using the equivalent continuum model. The governing equations include those for thermal, hydrological and mechanical fields, and are based on the conservation equations for fluid and solid masses, linear momentum and energy, as well as the corresponding state equation and constitutive equations. In the derivation, thermal elasto-plastic constitutive relationship, rather than the assumption of local thermal equilibrium, was adopted, and the effect of temperature gradient on hydrological processes was taken into account.