| 定荷载和双面排水条件下非饱和土一维固结的解析解 |
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| 引用本文： | 何子舟,周凤玺.定荷载和双面排水条件下非饱和土一维固结的解析解[J].应用数学和力学,2019,40(9):1035-1047. |
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| 作者姓名： | 何子舟 周凤玺 |
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| 作者单位： | 合肥工业大学 土木与水利工程学院, 合肥 230009 |
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| 基金项目： | 国家自然科学基金（11962016）；甘肃省陇原青年创新创业人才资助项目（17-059003） |
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| 摘 要： | 基于多孔介质弹性理论，结合粒间吸应力表示的有效应力原理，建立了非饱和土固结的耦合偏微分控制方程.考虑一维问题，采用Laplace积分变换，得到了定荷载和双面排水条件下非饱和土固结的解析解答.通过数值算例，分析了土体饱和度对超孔隙水压力、有效应力以及土层沉降的影响规律.结果表明，土体的初始饱和度越高，则孔隙水压力消散得越快，有效应力增加越快.
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| 关 键 词： | 非饱和土 解析解 吸应力特征曲线 孔隙水压力 |
| 收稿时间： | 2018-11-19 |
Analytical Solution for 1D Consolidation of Unsaturated Soil Under Constant Load and Double Side Drainage |
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| Affiliation: | 1School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, P.R.China;2Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou 730050, P.R.China |
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| Abstract: | Based on the elastic theory for porous media and the principle of the effective stress expressed with intergranular suction stresses, the coupled partial differential governing equation for unsaturated soil consolidation was established. For the 1D consolidation problem, the analytical solution for the consolidation of unsaturated soil under constant load and double side drainage was obtained through the Laplace integral transform. The effects of soil saturation on the excessive pore water pressure, the effective stress and the soil settlement were analyzed with numerical examples. The results show that, the higher the initial saturation of the soil is, the faster the pore water pressure will dissipate and the faster the effective stress will increase. |
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