非饱和土渗流变形耦合的数值分析
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国家自然科学基金(40902087);教育部科学技术研究重点项目(110186);教育部博士点新教师基金(20095122120007)


Numerical Analysis of Seepage and Deformation in Unsaturated Soils
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    摘要:

    基于一维非饱和土的渗流-变形控制方程,采用Flex PDE(Partial differential equation)软件对该耦合方程组进行求解分析.该方法突破了解析法对非饱和土导水系数函数的特殊限定,适用于任意的土-水特征曲线表达式;还可考虑到饱和时的渗透系数以及孔隙率是变量.与解析解相比,该数值解表现较高的精度,具有解决非饱和土耦合问题的可行性.计算分析表明,非饱和土渗流-变形耦合作用对暂态孔隙水压力分布产生重要的影响,在降雨入渗过程中需考虑土体渗流-变形耦合的影响.降雨初期,位移随着时间明显增大,地表出现下沉,考虑耦合效应的孔隙水压力慢于非耦合情况,原因是H值为正的.随着降雨持续时间的增大,地表下沉的速度减缓,到最后变形开始稳定.位移的变化快慢与孔隙水压力变化规律相同.地表沉降量还与初始孔隙水压力分布以及H值密切相关.饱和时的渗透系数以及孔隙率对非饱和土降雨入渗以及稳态流的分布产生影响,但对其地表变形产生的影响微弱.

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    Based on one-dimensional seepage and deformation governing equations, PDE software is used to analyze the coupled governing equations. The method is available to arbitrary functions of SWCC (soil-water characteristic curve), and it considers that both the coefficient of permeability at saturation and the porosity change with soil strain. Compared with analytical solution, the numerical solution shows high precision and it can effectively solve coupling problems. It is found that coupling effect of seepage and deformation in unsaturated soils plays an important role in the pore-water pressure profiles, and that the coupling effect should be considered during rainfall infiltration. At early stage of rainfall infiltration, settlement obviously increases with time, and the pore-water pressure considering the coupling moves more slowly than that without considering coupling due to positive H. The settlement is related with initial pore-water pressure profiles and H value. The coefficient of permeability at saturation and the porosity have an effect on rainfall infiltration and steady-state seepage, but their change has a weak influence on deformation in unsaturated soils..

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吴礼舟,黄润秋.非饱和土渗流变形耦合的数值分析[J].土木与环境工程学报(中英文),2011,33(3):63-67. WU Li-zhou, HUANG Run-qiu. Numerical Analysis of Seepage and Deformation in Unsaturated Soils[J]. JOURNAL OF CIVIL AND ENVIRONMENTAL ENGINEERING,2011,33(3):63-67.10.11835/j. issn.1674-4764.2011.03.012

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  • 收稿日期:2010-12-22
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