# One-Dimensional Vacuum Steady Seepage Model of Unsaturated Soil and Finite Difference Solution

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Mathematical Problems in Engineering - Volume 2017 2017, Article ID 9589638, 7 pages - https:-doi.org-10.1155-2017-9589638

Research ArticleSchool of Engineering and Technology, China University of Geosciences, Beijing 100083, China

Correspondence should be addressed to Feng Huang

Received 6 December 2016; Revised 16 February 2017; Accepted 23 February 2017; Published 5 March 2017

Copyright © 2017 Feng Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Vacuum tube dewatering method and light well point method have been widely used in engineering dewatering and foundation treatment. However, there is little research on the calculation method of unsaturated seepage under the effect of vacuum pressure which is generated by the vacuum well. In view of this, the one-dimensional 1D steady seepage law of unsaturated soil in vacuum field has been analyzed based on Darcy’s law, basic equations, and finite difference method. First, the gravity drainage ability is analyzed. The analysis presents that much unsaturated water can not be drained off only by gravity effect because of surface tension. Second, the unsaturated vacuum seepage equations are built up in conditions of flux boundary and waterhead boundary. Finally, two examples are analyzed based on the relationship of matric suction and permeability coefficient after boundary conditions are determined. The results show that vacuum pressure will significantly enhance the drainage ability of unsaturated water by improving the hydraulic gradient of unsaturated water.

Autor: Feng Huang, Jianguo Lyu, Guihe Wang, and Hongyan Liu

Fuente: https://www.hindawi.com/

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