非饱和土一维固结的半解析解

秦爱芳; 孙德安; 谈永卫

doi:10.3879/j.issn.1000-0887.2010.02.009

非饱和土一维固结的半解析解

doi: 10.3879/j.issn.1000-0887.2010.02.009

上海大学土木工程系, 上海 200072;2.同济大学地下建筑与工程系,上海 200092;3.同济大学岩土及地下工程教育部重点实验室,上海 200092

详细信息

作者简介:
秦爱芳(1966- ),女,山西人,副教授,博士生(联系人.Tel:+86-21-56336014;E-mail:qinaifang@21cn.com).

中图分类号: TU44
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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2009-12-28
- 刊出日期: 2010-02-15

Semi-Analytical Solution to One-Dimensional Consolidation in Unsaturated Soils

Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China;

摘要

摘要: 首先对Fredlund的非饱和土一维固结理论进行简化，由得到的液相及气相的控制方程、Darcy定律及Fick定律，经Laplace变换及Cayley-Hamilton定理构造了顶面状态向量与任意深度处状态向量间的传递关系；通过引入边界条件，得到了大面积瞬时加荷情况多种边界条件下Laplace变换域内的超孔隙水压力、超孔隙气压力及土层沉降的解；采用Crump方法编制程序实现Laplace逆转换，得到了时间域内的超孔隙水压力、超孔隙气压力、土层沉降的半解析解；引用典型算例,对单面排水排气情况，与已有的解析解进行对比，验证其正确性；对单面排气不排水情况，与差分法结果进行对比进一步证明半解析解的正确性，并进行固结特性分析．该研究对非饱和土一维固结的研究具有重要的意义．
- 一维固结 /
- 非饱和土 /
- 超孔隙水压力 /
- 超孔隙气压力 /
- 半解析解
Abstract: Aseries of semi-analytical solutions to one-dmiensional consolidation in unsaturated soil were obtained.First,the air governing equation by Fredlund for unsaturated soil consolidation was simplified.Then,by applying the Laplace transform and Cayley-Hamilton theorem to the air and water governing equations of simplified,Darcy's law and Fick's law,the transfer function between the state vectors at top and at any depth was constructed.Finally,by in troducing the boundary conditions,the excess pore-water pressure and excess pore-air pressure and the soil settlement were obtained under several kinds of boundary condition sunder the large-area uniform in stantaneous loading.By adopting the Crumpmethod,the inversion of Laplace transform was performed,and the semi-analytical solutions to the excess pore-water and excess pore-air pressures and the soil settlement were obtained in the tmie domain.In the case of one surface which is permeable to air and water,comparison sbetween the semi-analytical solutions and the analytical solutions indicate that the semi-an alytical solutions are correct by a typical example.In the case of one surface which is permeable to air but imperm eable to water,comparisons between the semi-analytical solutions and the results of the finite difference method indicate that the semi-analytical solution is correct too,else the conso lidation characteristics are analysed.The research is useful to the studies on unsaturated soil consolidation.
- one-dimensional consolidation /
- unsaturated soil /
- excess pore-water pressure /
- excess pore-air pressure /
- semi-analytical solution

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参考文献(13)

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