Semi-analytical solutions to two-dimensional plane strain consolidation for unsaturated soil

被引:20
|
作者
Wang, Lei [1 ,2 ]
Xu, Yongfu [1 ]
Xia, Xiaohe [1 ]
Sun, De'an [3 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Civil Engn, Shanghai 200240, Peoples R China
[2] Shanghai Univ Engn Sci, Coll Urban Railway Transportat, Shanghai 201620, Peoples R China
[3] Shanghai Univ, Dept Civil Engn, Shanghai 200444, Peoples R China
基金
中国国家自然科学基金;
关键词
Semi-analytical solution; Unsaturated soil; Two-dimensional plane strain consolidation; Homogeneous and mixed boundaries; Finite sine transform; Laplace transform; ONE-DIMENSIONAL CONSOLIDATION;
D O I
10.1016/j.compgeo.2018.04.015
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents semi-analytical solutions to two-dimensional plane strain consolidation of unsaturated soils under different initial and boundary conditions. By applying the finite sine and Laplace transforms, the partial differential equations are converted to the ordinary differential equations. The semi-analytical solutions are obtained by using the finite sine inversion transform. Crump's method is adopted to perform the inverse Laplace transform to obtain analytical solutions in time domain. The present solutions are more general and can be degenerated into conventional solutions to one-dimensional consolidation of unsaturated soils. Several examples are provided to investigate two-dimensional plane strain consolidation behavior of unsaturated soils.
引用
收藏
页码:100 / 113
页数:14
相关论文
共 50 条
  • [41] Semi-analytical solutions to the one-dimensional consolidation for double-layered unsaturated ground with a horizontal drainage layer br
    Zhou, Tong
    Wang, Lei
    Li, Tianyi
    Wen, Minjie
    Zhou, Annan
    TRANSPORTATION GEOTECHNICS, 2023, 38
  • [42] A semi-analytical solution to consolidation of unsaturated soils with the free drainage well
    Qin, Aifang
    Sun, De'an
    Yang, Liuping
    Weng, Yufei
    COMPUTERS AND GEOTECHNICS, 2010, 37 (7-8) : 867 - 875
  • [43] Semi-analytical solutions to equal-strain consolidation of unsaturated composite ground with granular columns considering well resistance and smear effect
    Hongri Zhang
    Lei Wang
    Liting Zhang
    Tianyi Li
    Arabian Journal of Geosciences, 2023, 16 (6)
  • [44] Semi-analytical solutions to the consolidation of unsaturated composite ground enforced by stone columns under equal strain condition considering smear effect
    Zhang, Liting
    Wang, Lei
    Zhou, Annan
    Xu, Yongfu
    Xia, Xiaohe
    TRANSPORTATION GEOTECHNICS, 2021, 31
  • [45] A general semi-analytical solution for predicting axisymmetric consolidation behavior of multi-layered unsaturated soil
    Huang M.
    Lv C.
    Zhou Z.
    Arabian Journal of Geosciences, 2021, 14 (19)
  • [46] A semi-analytical model for simulating two-dimensional multispecies reactive transport
    Chen J.-S.
    Tu Y.-L.
    Chang C.-H.
    Wang S.-W.
    Chen, Jui-Sheng (jschen@geo.ncu.edu.tw), 1600, Taiwan Agricultural Engineers Society (66): : 2 - 10
  • [47] A semi-analytical solution for a two-dimensional capacitance model in solute transport
    Bai, M
    Shu, Z
    Cao, J
    Zaman, M
    Roegiers, JC
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 1999, 22 (04) : 275 - 295
  • [48] A semi-analytical solution for a two-dimensional capacitance model in solute transport
    Rock Mechanics Institute, The University of Oklahoma, Norman, OK 73019, United States
    不详
    J. Pet. Sci. Eng., 4 (275-295):
  • [49] Semi-analytical elastostatic analysis of two-dimensional domains with similar boundaries
    Deeks, AJ
    STRUCTURAL ENGINEERING AND MECHANICS, 2002, 14 (01) : 99 - 118
  • [50] Two-dimensional plane-strain consolidation for unsaturated soils under non-uniform trapezoidal loads
    Tang, Chengjia
    Wang, Lei
    Shen, Sidong
    Wen, Minjie
    Zhou, Annan
    JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A, 2025, 26 (03): : 277 - 284