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Journal of Shanghai University >

2021 , Vol. 27 >Issue 6: 1074 - 1084

DOI: https://doi.org/10.12066/j.issn.1007-2861.2231

Research Articles

Analysis of radial consolidation of unsaturated soil with vertical drains considering drain resistance and the smear effect

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  • Department of Civil Engineering, Shanghai University, Shanghai 200444, China

Received date: 2020-03-13

  Online published: 2022-01-06

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Abstract

Based on the equal-strain hypothesis and Fredlund's consolidation theory of unsaturated soil mechanics, a semi-analytical solution to consolidation of unsaturated soil with vertical drains considering drain resistance and the smear effect is proposed. Firstly, the governing equations are transformed into easy-to-solve equivalent linear partial differential equations by introducing new variables and the Laplace transform, with both drain resistance and smear effect conditions in the solution derivation taken into account. By utilizing Crump's method, the inverse Laplace transform is then used to obtain the average excess pore-air and pore-water pressures and the average consolidation degree in the time domain. Moreover, the validity of the solution is verified by degenerating and comparing with the existing solution to the foundation with ideal boundary conditions of unsaturated soil based on the free-strain assumption. The results show that an increase in the drain resistance factor, smear coefficient, or smear zone radius ratio will extend the consolidation time. Drain resistance and the smear effect are considered useful for more reasonably predicting the consolidation degree of unsaturated soil with vertical drains.

Key words： unsaturated soil; equal strain; drain resistance; smear effect; semi-analytical solution

Cite this article

QIN Aifang, XU Weifang, JIANG Lianghua . Analysis of radial consolidation of unsaturated soil with vertical drains considering drain resistance and the smear effect[J]. Journal of Shanghai University, 2021 , 27(6) : 1074 -1084 . DOI: 10.12066/j.issn.1007-2861.2231

References

[1] 顾洋洋. 非饱和软土路基的一维固结沉降及其影响因素的研究[D]. 重庆: 重庆大学, 2017.
[1] Gu Y Y. One-Dimensional settlement theory and its influence factors of subgrade of unsaturated and soft soil[D]. Chongqing: Chongqing University, 2017.
[2] Carrillo N. Simple two- and three-dimensional cases in the theory of consolidation of soils[J]. Studies in Applied Mathematics, 1942, 21:1-5.
[3] Barron R A. Consolidation of fine-grained soils by drain wells[J]. Transactions of the American Society of Civil Engineers, 1948, 113(1): 718-742.
[4] Terzaghi K. Erdbaumechanik auf bodenphysik-alisch grundlage[M]. Vienna: Leipzig Deuticke, 1925.
[5] Yoshikuni H, Nakanodo H. Consolidation of soils by vertical drain wells with finite permeability[J]. Soils and Foundations, 1974, 14(2): 35-46.
[6] 谢康和, 曾国熙. 等应变条件下的砂井地基固结解析理论[J]. 岩土工程学报, 1989, 11(2): 3-17.
[6] Xie K H, Zeng G X. Consolidation theories for drain wells under equal strain condition[J]. Chinese Journal of Geotechnical Engineering, 1989, 11(2): 3-17.
[7] 陈国红, 谢康和, 程永峰, 等. 考虑涂抹区渗透系数变化的砂井地基固结解[J]. 浙江大学学报(工学版), 2011, 45(4): 665-670.
[7] Chen G H, Xie K H, Cheng Y F, et al. Analytical solution for consolidation of sand-drained ground considering variation of permeability coefficient in smeared zone[J]. Journal of Zhejiang University(Engineering Science), 2011, 45(4): 665-670.
[8] 张驿, 吴文兵, 梅国雄, 等. 基于连续排水边界条件的砂井地基固结解析解[J]. 工程科学与技术, 2019, 51(2): 90-97.
[8] Zhang Y, Wu W B, Mei G X, et al. Analytical solution of sand -drained ground consolidation based on continuous drainage boundary[J]. Advanced Engineering Sciences, 2019, 51(2): 90-97.
[9] Fredlund D G, Hasan J U. One-dimensional consolidation theory: unsaturated soils[J]. Canadian Geotechnical Journal, 1979, 16(3): 521-531.
[10] 秦爱芳, 孙德安, 谈永卫. 非饱和土一维固结的半解析解[J]. 应用数学和力学, 2010, 31(2): 199-209.
[10] Qin A F, Sun D A, Tan Y W. Semi-analytical solution to one-dimensional consolidation in unsaturated soils[J]. Applied Mathematics and Mechanics, 2010, 31(2): 199-209.
[11] 周万欢, 赵林爽. 复杂初始和边界条件对一维非饱和土固结的影响[J]. 岩土工程学报, 2013, 35(增刊 1): 305-311.
[11] Zhou W H, Zhao L S. Influence of initial and boundary conditions on one-dimensional consolidation of unsaturated soil[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(Suppl. 1): 305-311.
[12] Wang L, Xu Y, Xia X, et al. Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soil[J]. Computers and Geotechnics, 2018, 101:100-113.
[13] Conte E. Consolidation analysis for unsaturated soils[J]. Canadian Geotechnical Journal, 2004, 41(4): 599-612.
[14] Qin A F, Sun D A, Yang L P, et al. A semi-analytical solution to consolidation of unsaturated soils with the free drainage well[J]. Computers and Geotechnics, 2010, 37(7): 867-875.
[15] Ho L, Fatahi B. Axisymmetric consolidation in unsaturated soil deposit subjected to time-dependent loadings[J]. International Journal of Geomechanics, 2016, 17(2): 04016046.
[16] Ho L, Fatahi B. Analytical solution to axisymmetric consolidation of unsaturated soil stratum under equal strain condition incorporating smear effects[J]. Int J Numer Anal Methods Geomech. 2018, 42(15): 1890-1913.
[17] Zhou F, Chen Z, Wang X D. An equal-strain analytical solution for the radial consolidation of unsaturated soils by vertical drains considering drain resistance[J]. Advances in Civil Engineering, 2018, 21:5069159.
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