Dynamic Response Analysis Of Saturated Soil Tunnel

The transient dynamic response of saturated soil-lining coupled system in circle tunnel are studied by using the Porous media theory and the differential quadrature element. The dynamical features are revealed at the same time. All works provide basic theory and reference data for building tunnel. The dynamic response problems of linear elasticity saturated soil-lining coupled system and linear viscoelastic saturated soil-lining coupled system are studied in this paper respectively.The dynamic response problem of linear elasticity saturated soil-lining coupled system is studied at the first time. Firstly, based on the theory of elasticity and porous media theory, the governing equations, the corresponding boundary conditions, the initial conditions as well as the joint conditions are presented. Then, the differential quadrature element method and the second-order backward difference scheme are applied to discretize the governing differential equations of the coupled system on the spatial and temporal domains, respectively. Finally, the Newton-Raphson method is adopted to solve the discretization equations, and the validity of the numerical method is verified and the transient dynamic responses of the coupled system are analyzed, as well as the effects of the soil depth and volume fraction are considered.Analogously, in the study of the dynamic response problem of linear viscoelastic saturated soil-lining coupled system, the mathematic model of dynamic behavior analysis in saturated system is proposed using the Porous media theory. And the saturated soil and the lining are differential type of viscoelastic material. Then the differential quadrature element, the second-order backward difference scheme and the Newton-Raphson method are adopted to solve the discretization equations. Finally, the transient dynamic responses of the coupled system are analyzed, and the effects of the soil depth, material characteristics and permeable rate are considered.From the result above, the differential quadrature element method is highly accurate in numerical simulation methods, and the better convergence using the less nodes. Meanwhile, the simulation thinking and numerical method are generalized to solving the general cases of saturated porous media-structural dynamic analysis, and it provides the necessary analytical calculation method for engineering practice.