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水气二相渗流与双重介质变形的流固耦合数学模型
Fluid-solid coupled mathematical model for water-air two-phase infiltration and deformation of dual porous media
【摘要】 为了真实反映地质岩体系统内孔隙、裂隙对发生于其中的物理过程的控制与影响,基于岩体渗流水力学和多相渗流力学理论,将工程地质体简化为孔隙-裂隙双重介质,建立了水气二相渗流与双重介质变形的流固耦合数学模型,采用Galerkin有限元方法推导了相应的有限元方程,编制出三维有限元计算程序。算例表明:双重介质模型能够比较准确地描述地质体的结构;在进行注水井数值实验模拟时,考虑耦合与不考虑耦合时的孔隙压力的差别随时间的推移会越来越大。
【Abstract】 Based on the principle of hydraulics and multiphase seepage mechanics, the engineering geologic body is simplified as dual porous media and a fluid-solid coupled mathematical model describing water-air two-phase flow seepage and deformation of dual porous media is established. The Galerkin FEM is adopted to deduce the discrete equations and establish the 3-D finite element numerical model. The code for computation is developed. The computational result of a practical example indicates that dual porous media model is suitable for precisely describing the structure of the underground geologic mass. It is also found that remarkable difference exists between the results obtained from the analyses of coupled model and non-coupled model.
【Key words】 dual porous media; water-air two-phase flow; fluid-solid coupled model; finite element method;
- 【文献出处】 水利学报 ,Journal of Hydraulic Engineering , 编辑部邮箱 ,2005年04期
- 【分类号】TU441
- 【被引频次】59
- 【下载频次】1111