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Transient wave-induced pore-water-pressure and soil responses in a shallow unsaturated poroelastic seabed

Published online by Cambridge University Press:  18 March 2022

Linlong Tong Open the ORCID record for Linlong Tong [Opens in a new window]  and
Philip L.-F. Liu Open the ORCID record for Philip L.-F. Liu [Opens in a new window]
Linlong Tong
Affiliation:
Key Laboratory of Ministry of Education for Coastal Disaster and Protection, Hohai University, Nanjing 210098, PR China Department of Civil and Environmental Engineering, National University of Singapore, 117576, Republic of Singapore College of Harbor, Coastal and Offshore Engineering, Hohai University, Nanjing 210098, PR China
Philip L.-F. Liu*
Affiliation:
Department of Civil and Environmental Engineering, National University of Singapore, 117576, Republic of Singapore Institute of Hydrological and Oceanic Sciences, National Central University, Jhongli, Taoyuan 320, Taiwan, ROC School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14850, USA Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan, 10701 Taiwan, ROC
*
†Email address for correspondence: [email protected]
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Abstract

An analytical solution is developed for studying transient water wave-induced responses inside an unsaturated poroelastic seabed of finite thickness. The soil skeleton and the pore fluid are compressible and the constitutive relationship of the soil skeleton is described by Hooke's law. Assuming that the horizontal length scale of wave motion is much larger than the seabed thickness, the leading-order analytical solutions for the seabed responses, including pore fluid pressure and soil skeleton motion, are obtained. The present solutions are suitable for general transient wave loading and for the shear modulus of the soil skeleton being of the same order of magnitude as the effective bulk modulus of elasticity of the pore fluid. The present theory is first validated by checking the solutions with the experimental data for the pore pressure induced by periodic-wave loading. The present analytical solutions are then used to investigate the seabed responses under transient waves, including linear periodic wave, a solitary wave and a bore. The effects of the wave-induced effective stresses on the bed failure potential are further analysed. The results show that the shear failure potential and its duration are highly dependent on the soil properties, such as saturation degree, shear modulus and permeability. Sensitivity analyses are presented.

JFM classification

Geophysical and Geological Flows: Coastal engineering Waves/Free-surface Flows: Solitary waves Waves/Free-surface Flows: Hydraulics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 938 , 10 May 2022 , A36
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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