One-dimensional consolidation in unsaturated soils under cyclic loading
Autor: | Jhe Wei Lee, Hsiuhua Chu, Garrison Sposito, Wei Cheng Lo |
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Rok vydání: | 2016 |
Předmět: |
Materials science
010504 meteorology & atmospheric sciences Consolidation (soil) 0208 environmental biotechnology Poromechanics 02 engineering and technology Mechanics Physics::Classical Physics 01 natural sciences Physics::Geophysics 020801 environmental engineering Pore water pressure Hydraulic conductivity Soil water Initial value problem Geotechnical engineering Time domain 0105 earth and related environmental sciences Water Science and Technology Dimensionless quantity |
Zdroj: | Advances in Water Resources. 91:122-137 |
ISSN: | 0309-1708 |
DOI: | 10.1016/j.advwatres.2016.03.001 |
Popis: | The one-dimensional consolidation model of poroelasticity of Lo et al. (2014) for an unsaturated soil under constant loading is generalized to include an arbitrary time-dependent loading. A closed-form solution for the pore water and air pressures along with the total settlement is derived by employing a Fourier series representation in the spatial domain and a Laplace transformation in the time domain. This solution is illustrated for the important example of a fully-permeable soil cylinder with an undrained initial condition acted upon by a periodic stress. Our results indicate that, in terms of a dimensionless time scale, the transient solution decays to zero most slowly in a water-saturated soil, whereas for an unsaturated soil, the time for the transient solution to die out is inversely proportional to the initial water saturation. The generalization presented here shows that the diffusion time scale for pore water in an unsaturated soil is orders of magnitude greater than that in a water-saturated soil, mainly because of the much smaller hydraulic conductivity of the former. |
Databáze: | OpenAIRE |
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