Analytical solution and analysis for consolidation of sand-drained ground considering the time-dependent well resistance and radial-vertical flow

被引:0
|
作者
Jiang W.-H. [1 ]
Zhan L.-T. [1 ]
Yang C. [2 ]
Wu J.-J. [2 ]
机构
[1] Institute of Geotechnical Engineering, Zhejiang University, Hangzhou
[2] Zhejiang Lünong Ecological Environment Co. Ltd., Hangzhou
来源
Gongcheng Lixue/Engineering Mechanics | 2021年 / 38卷 / 06期
关键词
Analytical solution; Radial flow; Sand-drained ground; Vertical flow; Well resistance;
D O I
10.6052/j.issn.1000-4750.2020.07.0478
中图分类号
学科分类号
摘要
Based on the assumption proposed by Deng et al that the permeability coefficient of drains decreases with time in the form of an exponential function, and on that the radial-vertical flow of soil is considered, the governing equation for consolidation of sand-drained ground is derived and the analytical solution is obtained by using separated variable method. The correctness of the solution is verified by comparing the degenerate solution of the study with the existing analytical solution and the analytical solution with the finite difference solution. According to the solution, the influence of consolidation behavior of sand-drained ground is analyzed. The analysis shows that the consolidation rate of sand-drained ground decreases with the increase of well resistance factor α whether the vertical flow is considered or not, and that the variation of well resistance has an important influence on the consolidation behavior of sand-drained ground in the later stage of consolidation. When the radial-vertical flow is considered, the final average consolidation degree can reach 100% with different α. The consolidation rate of sand-drained ground is accelerated by the vertical flow, and the consolidation rate increases with the increase of the vertical permeability coefficient kv. When the ground thickness H is thin, the vertical permeability coefficient kv has a great influence on the consolidation behavior of sand-drained ground in the initial stage. When the ground thickness H is thick, the vertical permeability coefficient kv has a great influence on the consolidation behavior of sand-drained ground in the later stage. Copyright ©2021 Engineering Mechanics. All rights reserved.
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页码:218 / 226and256
相关论文
共 21 条
  • [1] Indraratna B., Recent advances in the application of vertical drains and vacuum preloading in soft soil stabilization, Australian Geomechanics Society, 45, 2, pp. 1-43, (2010)
  • [2] Yu Kun, Xie Kanghe, Effects of the shape of influence zone on the consolidation behavior of sand-drained ground, Engineering Mechanics, 29, 1, pp. 93-98, (2012)
  • [3] Barron R A., Consolidation of fine-grained soils by drain wells, Transaction of the American Society of Civil Engineers, 113, pp. 718-742, (1948)
  • [4] Hansbo S, Jamiolkowski M, Kok L., Consolidation by vertical drains, Geotechnique, 31, 1, pp. 45-66, (1981)
  • [5] Xie Kanghe, Zeng Guoxi, Consolidation theories for drain walls under equal strain condition, Chinese Journal of Geotechnical Engineering, 11, 2, pp. 3-17, (1989)
  • [6] Tang X W, Onitsuka K., Consolidation of double-layered ground with vertical drains, International Journal for Numerical and Analytical Methods in Geomechanics, 25, 14, pp. 1449-1465, (2001)
  • [7] Liu Jiacai, Shi Jianyong, Zhao Weibing, Et al., Consolidation of ground with partially penetrated vertical drains under time-dependent loading, Chinese Journal of Rock Mechanics and Engineering, 24, 6, pp. 1041-1046, (2005)
  • [8] Conte E, Troncone A., Radial consolidation with vertical drains and general time-dependent loading, Canadian Geotechnical Journal, 46, 1, pp. 25-36, (2009)
  • [9] Zhou Yu, Xie Kanghe, Liu Xingwang, Analytical solution for vertical drains considering threshold gradient and smear effect, Engineering Mechanics, 31, 2, pp. 103-109, (2014)
  • [10] Zhang Yi, Wu Wenbing, Mei Guoxiong, Et al., Analytical solution of sand-drained ground consolidation based on continuous drainage boundary, Advanced Engineering Sciences, 51, 2, pp. 90-97, (2019)