Semi-Analytical Solution to One-Dimensional Consolidation in Unsaturated Soils

QIN Ai-fang; SUN De-an; TAN Yong-wei

doi:10.3879/j.issn.1000-0887.2010.02.009

Volume 31 Issue 2

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QIN Ai-fang, SUN De-an, TAN Yong-wei. Semi-Analytical Solution to One-Dimensional Consolidation in Unsaturated Soils[J]. Applied Mathematics and Mechanics, 2010, 31(2): 199-209. doi: 10.3879/j.issn.1000-0887.2010.02.009

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Semi-Analytical Solution to One-Dimensional Consolidation in Unsaturated Soils

doi: 10.3879/j.issn.1000-0887.2010.02.009

1.
Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 1900-01-01
Rev Recd Date: 2009-12-28
Publish Date: 2010-02-15

Abstract

Abstract

Aseries of semi-analytical solutions to one-dmiensional consolidation in unsaturated soil were obtained.First,the air governing equation by Fredlund for unsaturated soil consolidation was simplified.Then,by applying the Laplace transform and Cayley-Hamilton theorem to the air and water governing equations of simplified,Darcy's law and Fick's law,the transfer function between the state vectors at top and at any depth was constructed.Finally,by in troducing the boundary conditions,the excess pore-water pressure and excess pore-air pressure and the soil settlement were obtained under several kinds of boundary condition sunder the large-area uniform in stantaneous loading.By adopting the Crumpmethod,the inversion of Laplace transform was performed,and the semi-analytical solutions to the excess pore-water and excess pore-air pressures and the soil settlement were obtained in the tmie domain.In the case of one surface which is permeable to air and water,comparison sbetween the semi-analytical solutions and the analytical solutions indicate that the semi-an alytical solutions are correct by a typical example.In the case of one surface which is permeable to air but imperm eable to water,comparisons between the semi-analytical solutions and the results of the finite difference method indicate that the semi-analytical solution is correct too,else the conso lidation characteristics are analysed.The research is useful to the studies on unsaturated soil consolidation.
- one-dimensional consolidation,
- unsaturated soil,
- excess pore-water pressure,
- excess pore-air pressure,
- semi-analytical solution

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References(13)

References

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