上海大学学报(自然科学版) ›› 2010, Vol. 16 ›› Issue (6): 655-660.doi: 1007-2861.2010.06.020

• 土木工程 • 上一篇    

二维有限饱和多孔介质流动变形耦合数值模拟

  

  1. (1.上海工程技术大学 机械工程学院,上海 201620; 2.上海大学 上海市应用数学和力学研究所,上海 200072)
  • 出版日期:2010-12-21 发布日期:2010-12-21
  • 通讯作者: 李培超(1976~),男,副教授,博士,研究方向为多孔介质的渗流. Email:wiselee18@163.com E-mail:wiselee18@163.com
  • 作者简介:李培超(1976~),男,副教授,博士,研究方向为多孔介质的渗流. Email:wiselee18@163.com
  • 基金资助:

    上海高校选拔培养优秀青年教师科研专项基金资助项目(GJD09029);上海市重点学科建设资助项目(P1401)

Numerical Simulation of Two-Dimensional Deformation and Flow Due to  Loading within a Saturated Finite Poroelastic Media

  1. (1. College of Mechanical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Online:2010-12-21 Published:2010-12-21

摘要:

针对二维饱和多孔介质流固耦合渗流数学模型,编制全隐式有限差分计算程序,并以二维有限区域饱和软土层地面沉降变形问题为例,探讨上下表面及加载区域边界透水性的影响.选取4种不同边界条件组合,就均布恒载和周期载荷两种情形分别进行计算分析.结果表明:不论是均布恒载还是周期载荷,其最终沉降量与载荷及土体本身性质有关,与边界条件无关,但不同的边界条件所对应的沉降过程各不相同;随边界透水性逐渐变差,超静水压消散效应减弱,拖拽效应增强;周期载荷的频率不影响变形幅值,但影响孔隙水压力的变化幅值,周期载荷的频率越高,孔隙水压力的幅值越大.

关键词: 多孔介质;流动变形耦合;有限差分算法;地面沉降;载荷;边界条件

Abstract:

The finite difference method and program for 2D flowdeformation coupling model in saturated porous  media is developed. With land subsidence due to loading within a finite 2D soil layer as examples, four cases are studied with upper and lower surfaces pervious or impervious. Deformation and flow under uniform loading and cyclic loading are  calculated respectively. The results show that, whether for uniform or cyclic loading, the final subsidence is dependent on  the loading and the soil property parameters, but independent of boundary conditions. Although boundary conditions have no effect upon the final settlement, consolidation and settlement processes corresponding to various boundary conditions aredifferent from each other. As the boundaries become less permeable, the effect of pore pressure dissipation gets weaker,while the dragging effect is enhanced. For cyclic loading, deformation amplification is independent of the loading frequency, while the pore pressure response becomes stronger as the loading frequency becomes higher.

Key words: porous media; deformation and flow coupling; finite difference method; land subsidence; loading; boundary conditions

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