摘要
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。
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.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2013年第S2期3346-3354,共9页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金资助项目(41101068)
国家自然科学基础人才培养基金冰川学冻土学特殊学科点(J1210003/J0109)
中国科院西部行动计划项目(KZCX2–XB3–19)
关键词
渗流力学
渗流场
应力场
流固耦合
隧道施工
工程应用
seepage mechanics
seepage field
stress field
fluid-solid coupling
tunnel construction
engineering application
