| Laplace方程若干问题的解及其在渗透破坏中的应用 |
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| 引用本文： | 徐有缘,周健,缪俊发. Laplace方程若干问题的解及其在渗透破坏中的应用[J]. 上海国土资源, 2006, 0(3): 49-52 |
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| 作者姓名： | 徐有缘 周健 缪俊发 |
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| 作者单位： | 同济大学地下建筑与工程系,上海,200092 |
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| 基金项目： | 国家自然科学基金(50379037)重点项目资助课题。 |
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| 摘 要： | 利用Laplace方程可以得到一类边界条件下圆柱形域内竖向分层土的水头分布问题的解,并用这些解对渗透破坏现象进行了数学描述,这些解也可应用于热传导问题。对于管涌、流土、热传导等工程问题具有一定的意义。
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| 关 键 词： | Laplace方程 临界水力梯度 渗透系数 渗透破坏 |
| 收稿时间： | 2006-03-08 |
| 修稿时间： | 2006-03-08 |
Several solutions of laplace equations and their application to the study of seepage failure |
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| XU Youyuan,ZHOU Jian,MIAO Junfa. Several solutions of laplace equations and their application to the study of seepage failure[J]. Shanghai Land & Resource, 2006, 0(3): 49-52 |
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| Authors: | XU Youyuan ZHOU Jian MIAO Junfa |
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| Affiliation: | Department of Geotechnical Engineering, Tongji University, Shanghai 200092 |
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| Abstract: | The head distribution of vertical layered soil in the cylindrical territory, with the condition of first boundary , is mainly discussed in this article. Solutions for several problems are given by Laplace equations and used to study the phenomenon of seepage failure. These solutions can also be applied to problems of heat conduction. The study is of much significance to engineering problems such as piping, sapping, and heat conduction. |
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| Keywords: | laplace equation critical hydraulic gradient coefficient of permeability seepage failure |
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