A Series of Semianalytical Solutions of One-Dimensional Consolidation in Unsaturated Soils

被引:17
作者
Wang, Lei [1 ,2 ]
Xu, Yongfu [2 ]
Xia, Xiaohe [2 ]
Li, Linzhong [1 ]
He, Yuelei [1 ]
机构
[1] Shanghai Univ Engn Sci, Coll Urban Railway Transportat, Shanghai 201620, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Naval Architecture & Civil Engn, Shanghai 200240, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Semianalytical solutions; One-dimensional consolidation; Unsaturated soil; All boundary conditions; Laplace transform; NUMERICAL INVERSION; LAPLACE TRANSFORMS;
D O I
10.1061/(ASCE)GM.1943-5622.0001661
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
This study presents a new series of semianalytical solutions of Fredlund and Hasan's one-dimensional consolidation equations for unsaturated soils under a variety of boundary conditions. The Laplace transform was adopted to solve the one-dimensional consolidation equations in the form of two-order partial differential equations with two variables. The semianalytical solutions of excess pore pressures and settlement are provided in the Laplace domain. The developed semianalytical solutions show good exactness and generality in comparison with the solutions subjected to the homogeneous, mixed, and semipermeable drainage boundaries available in the literature. Finally, a few of the calculating examples are conducted to depict the consolidation properties of unsaturated soils subjected to six types of boundary conditions, and parametric studies are provided by changes of excess pore pressures and settlement with the ratio of air-water permeability coefficient, depth, and time.
引用
收藏
页数:15
相关论文
共 27 条
[1]   CONSOLIDATION OF COMPACTED AND UNSATURATED CLAYS [J].
BARDEN, L .
GEOTECHNIQUE, 1965, 15 (03) :267-&
[2]   General theory of three-dimensional consolidation [J].
Biot, MA .
JOURNAL OF APPLIED PHYSICS, 1941, 12 (02) :155-164
[3]   NUMERICAL INVERSION OF LAPLACE TRANSFORMS USING A FOURIER-SERIES APPROXIMATION [J].
CRUMP, KS .
JOURNAL OF THE ACM, 1976, 23 (01) :89-96
[4]  
Dakshanamurthy V., 1984, Proceedings of the 5th International Conference on Expansive Soils, Adelaide, South Australia, 21-23 May 1984, P99
[5]  
Dakshanamurthy V., 1980, Proceedings of the 4th International Conference on Expansive Soils, ASCE, P514
[6]   NUMERICAL INVERSION OF LAPLACE TRANSFORMS - EFFICIENT IMPROVEMENT TO DUBNER AND ABATES METHOD [J].
DURBIN, F .
COMPUTER JOURNAL, 1974, 17 (04) :371-376
[7]   Unsaturated soil mechanics in engineering practice [J].
Fredlund, DG .
JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING, 2006, 132 (03) :286-321
[8]   CONSTITUTIVE RELATIONS FOR VOLUME CHANGE IN UNSATURATED SOILS [J].
FREDLUND, DG ;
MORGENSTERN, NR .
CANADIAN GEOTECHNICAL JOURNAL, 1976, 13 (03) :261-276
[9]   ONE-DIMENSIONAL CONSOLIDATION THEORY - UNSATURATED SOILS [J].
FREDLUND, DG ;
HASAN, JU .
CANADIAN GEOTECHNICAL JOURNAL, 1979, 16 (03) :521-531
[10]   Analytical solution for one-dimensional consolidation of unsaturated soils using eigenfunction expansion method [J].
Ho, L. ;
Fatahi, B. ;
Khabbaz, H. .
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS, 2014, 38 (10) :1058-1077