粘弹性饱和多孔介质中圆柱孔洞的瞬态响应  

Transient response of a cylindrical cavity in viscoelastic saturated porous medium

作　　者：刘涛[1] 王园园[1] 朱媛媛[1] 

机构地区：[1]上海师范大学信息与机电工程学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2016年第5期518-526,共9页Journal of Shanghai Normal University(Natural Sciences)

基　　金：上海市自然科学基金(15ZR1431600)

摘　　要：饱和多孔介质流-固耦合系统的动力学特性研究具有重要的学术理论价值和潜在的应用前景.研究了含衬砌的无限长粘弹性饱和多孔介质中圆柱孔洞的瞬态响应问题,相关结论可用于饱和土隧道分析、核废料等污染物处置、地热资源开发等基础工程设计.首先,基于多孔介质混合物理论,建立了耦合系统动力学分析的控制方程、边界条件、连接条件和初始条件.其次,采用微分求积单元法和2阶向后差分格式分别在空间和时间域内离散了系统的控制方程.最后,利用Newton-Raphson迭代方法在初始条件下求得了系统的数值解,分析了耦合系统的瞬态响应,并考察了参数的影响,同时也验证了数值方法的有效性.The study on dynamic characteristics for fluid-solid coupling system in saturated porous medium is of significant aca- demic value and potential application foreground. In this paper, the transient response of a cylindrical cavity in infinite viscoelastic saturated porous medium with the circular lining is studied, and the corresponding results can be used in the design of foundation engineering, such as the tunnel analyses in saturated soil, the nuclear waste disposal engineering, and the exploitation and utiliza- tion of geothermal reservoirs and so on. Firstly, based on the porous media theory, the governing equations of coupled system are presented, and the corresponding boundary conditions, initial conditions as well as the joint conditions are derived. Then, the dif- ferential quadrature element method and the second-order backward difference scheme are applied to discretize the governing dif- ferential equations of the coupled system on the spatial and temporal domains, respectively. Finally, the Newton-Raphson method is adopted to solve the discretization equations with the initial conditions, the transient responses of the coupled system are analyzed, the effects of the parameters are considered, and the validity of the numerical method is verified.

关 键 词：粘弹性饱和多孔介质 多孔介质理论(PMT) 圆柱孔洞 微分求积单元法(DQEM) 瞬态响应 

分 类 号：O342[理学—固体力学]