CAJ | 학술논문

基于计算流体力学和岩土力学，考虑渗流场和应力场的相互作用，推导介质的平衡方程和饱和孔隙流体的连续性方程，建立流-固耦合模型。结合Galerkin法，对平衡方程进行有限元离散，同时，采用向后差分格式和二阶精度Warming-Beam差分格式，对连续性方程进行有限差分离散，从而对模型进行数值求解。最后，以一富水双向隧道为例，进行施工数值仿真，得到不同施工阶段隧道围岩的孔隙水压力、位移场、应力场的分布及其支护锚杆的受力特性，并将计算结果与相关现场监测得到的一般性规律进行对比，为类似隧道工程的设计和施工提供参考。
기우계산류체역학화암토역학，고필삼류장화응력장적상호작용，추도개질적평형방정화포화공극류체적련속성방정，건립류-고우합모형。결합Galerkin법，대평형방정진행유한원리산，동시，채용향후차분격식화이계정도Warming-Beam차분격식，대련속성방정진행유한차분리산，종이대모형진행수치구해。최후，이일부수쌍향수도위례，진행시공수치방진，득도불동시공계단수도위암적공극수압력、위이장、응력장적분포급기지호묘간적수력특성，병장계산결과여상관현장감측득도적일반성규률진행대비，위유사수도공정적설계화시공제공삼고。
Based on the theory of computational fluid mechanics and geotechnical mechanics,equilibrium equation of media and continuity equation of interstitial fluid are derived with the consideration of interaction of seepage and stress field. Numerical methods of solving the proposed equations as well as boundary conditions are put forward. Combined with Galerkin way,finite element method is employed to disperse equilibrium equation, while finite method is applied to the discretization of continuity equation. That is the backward differentiation formula and two order accuracy warming-beam formula. Then,a water-rich bi-directional tunnel is taken as an example,distribution of pore pressure,displacement,stress and mechanical behavior of anchorage in different construction stages are analyzed. Finally,numerical results are compared with the conclusion of related field monitoring. The study results could provide guidance for the design and construction of similar tunnel projects.