Semi-analytical solutions to one-dimensional consolidation for unsaturated soils with semi-permeable drainage boundary

2017 ◽  
Vol 38 (10) ◽  
pp. 1439-1458 ◽  
Author(s):  
Lei Wang ◽  
De’an Sun ◽  
Yongfu Xu
Keyword(s):  
Analytical Solutions ◽  
Unsaturated Soils ◽  
One Dimensional

scholarly journals Semi-analytical solutions to one-dimensional electro-osmotic consolidation in unsaturated soils

2020 ◽  
Vol 8 (4) ◽  
pp. 102-108
Author(s):  
Liujiang Wang ◽  
Penghua Huang ◽  
Yaoming Wang ◽  
Sihong Liu
Keyword(s):  
Analytical Solutions ◽  
Unsaturated Soils ◽  
One Dimensional

scholarly journals One-Dimensional Consolidation Analysis of Unsaturated Soils under Cyclic Loadings

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Pyol Kim ◽  
Myongchol Ri ◽  
Yonggun Kim ◽  
Gunhyang Ri ◽  
Hakbom Myong
Keyword(s):  
Analytical Solutions ◽  
Parametric Study ◽  
Unsaturated Soils ◽  
Diffusion Equations ◽  
Saturated Soils ◽  
Governing Equations ◽  
One Dimensional ◽  
New Variables ◽  
Consolidation Analysis ◽  
Excess Pore

This paper presents analytical solutions to Fredlund and Hasan’s one-dimensional consolidation equations for unsaturated soils subjected to various cyclic loadings. Two new variables are introduced so that the governing equations for excess pore air and water pressures can be transformed to a set of conventional diffusion equations. Based on the general solutions for two introduced variables, the analytical solutions are derived for one-dimensional consolidation of unsaturated soils under trapezoidal, rectangular, triangular, and haversine cyclic loadings. It shows through the degeneration into the existing solutions for unsaturated and saturated soils that the proposed solutions are more general ones for one-dimensional consolidation of soils from unsaturated to saturated states. A comprehensive parametric study is conducted to investigate the effects of different parameters on one-dimensional consolidation of unsaturated soils under various cyclic loadings. The proposed solutions can be effectively utilized in the analysis of consolidation of unsaturated soils subjected to various cyclic loadings.

Transient convective diffusion to a uniformly accessible surface under aparent slip conditions

1991 ◽  
Vol 56 (2) ◽  
pp. 334-343
Author(s):  
Ondřej Wein
Keyword(s):  
Power Law ◽  
Analytical Solutions ◽  
Convective Diffusion ◽  
Active Surface ◽  
Velocity Profiles ◽  
One Dimensional ◽  
Slip Conditions ◽  
Accessible Surface ◽  
Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

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