Technical Papers
Nov 19, 2011

Response of Porous Seabed to Nature Loadings: Waves and Currents

Publication: Journal of Engineering Mechanics
Volume 138, Issue 6

Abstract

In real ocean environments, currents generally exist simultaneously with ocean waves. However, the most previous investigations for the seabed response have only considered wave loading, ignoring currents. In this study, unlike previous studies, currents are included in the model of seabed response with waves, based on Biot’s poroelastic dynamic theory (u-p approximation). Numerical results reveal that the consideration of currents has significant effect on the seabed response. The opposing current is beneficial to prevent liquefaction, while the following current would worsen the stability of the seabed. The parametric studies indicate that the wave period, water depth, saturation, soil permeability, and thickness of the seabed significantly affect the seabed response under combined loading of waves and currents. The maximum relative difference of the pore pressure between the cases with currents (velocity is -2m/s) and without currents (pcurrent-pnocurrent)/p0 can reach up to 25% in both coarse and fine sand. The analysis of transient liquefaction in the fine sand seabed indicates that the maximum liquefaction depth increases with the following currents, but it decreases with the opposing current.

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Acknowledgments

We are grateful for the financial support from EPSRC Grant #EP/G006482/1 (UK), State Key Laboratory of Ocean Engineering Self-Development Grant #GKZD010053 (China), Sichuan University State Key Laboratory of Hydraulics and Mountain River Engineering Open Fund Scheme #SKLH-OF-1005(China), and NSFC Grant # 41176073 (China).

References

Baddour, R. E., and Song, S. W. (1990a). “Interaction of higher-order water waves with uniform currents.” Ocean Eng., 17(6), 551–568.OCENBQ
Baddour, R. E., and Song, S. W. (1990b). “On the interaction between waves and currents.” Ocean Eng., 17(1–2), 1–21.OCENBQ
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.JAPIAU
Biot, M. A. (1956). “Theory of propagation of elastic waves in a fluidsaturated porous solid, part I: Low frequency range.” J. Acoust. Soc. Am.JASMAN, 28(2), 168–177.
Chan, A. H. C. (1988). “A unified finite element solution to static and dynamic problems of geomechanics.” Ph.D. thesis, Univ. of Wales, Swansea, Wales.
Esrig, M. I., and Kirby, R. C. (1977). “Implication of gas content for predicting the stability of submarine slopes.” Marine Geotechnol.MRGTAY, 2(1–4), 81–100.
Hsu, H. C., Chen, Y. Y., Hsu, J. R. C., and Tseng, W. J. (2009). “Nonlinear water waves on uniform current in lagrangian coordinates.” J. Nonlinear Math. Phys., 16(1), 47–61.
Hsu, J. R. C., and Jeng, D.-S. (1994). “Wave-induced soil response in an unsaturated anisotropic seabed of finite thickness.” Int. J. Numer. Anal. Methods Geomech., 18(11), 785–807.IJNGDZ
Hsu, J. R. C., Tsuchiya, Y. Y., and Silvester, R. (1979). “Third-order approximation to short-crested waves.” J. Fluid Mech., 90(01), 179–196.JFLSA7
Jeng, D.-S. (2001). “A new wave dispersion equation: Effects of soil characteristics.” J. Offshore Mech. Arctic Eng., 123(4), 177–181.
Jeng, D.-S. (2003). “Wave-induced sea floor dynamics.” Appl. Mech. Rev., 56(4), 407–429.AMREAD
Jeng, D.-S., and Cha, D. H. (2003). “Effects of dynamic soil behavior and wave non-linearity on the wave-induced pore pressure and effective stresses in porous seabed.” Ocean Eng., 30(16), 2065–2089.OCENBQ
Jeng, D.-S., Cha, D. H., Lin, Y. S., and Hu, P. S. (2000). “Analysis on pore pressure in an anisotropic seabed in the vicinity of a caisson.” Appl. Ocean Res., 22(6), 317–329.AOCRDS
Jeng, D.-S., and Lin, Y. S. (1996). “Finite element modelling for water waves–soil interaction.” Soil Dyn. Earthquake Eng.IJDEDD, 15(5), 283–300.
Jeng, D.-S., and Ou, J. (2010). “3-d models for wave-induced pore pressure near breakwater heads.” Acta Mech., 215(1–4), 85–104.AMHCAP
Jeng, D.-S., Rahman, M. S., and Lee, T. L. (1999). “Effects of inertia forces on wave-induced seabed response.” Int. J. Offshore Polar Eng.IOPEE7, 9(4), 307–313.
Jian, Y. J., Zhu, Q. Y., Zhang, J., and Wang, Y. F. (2009). “Third order approximation to capillary gravity short crested waves with uniform currents.” Appl. Math. Modell.AMMODL, 33(4), 2035–2053.
Lu, H. B. (2005). “The research on pore water pressure response to waves in sandy seabed.” Ph.D. thesis, Changsha Univ. of Science & Technology, Changsha, China.
Lundgren, H., Lindhardt, J. H. C., and Romold, C. J. (1989). “Stability of breakwaters on porous foundation.” Proc., 12th Int. Conf. on Soil Mech. and Foundation Eng., Vol. 1, 451–454.
Okusa, S. (1985). “Wave-induced stress in unsaturated submarine sediments.” Geotechnique, 35(4), 517–532.GTNQA8
Pietruszczak, S., and Pande, G. N. (1996). “Constitutive relations for partially saturated soils containing gas inclusions.” J. Geotech. Eng., 122(1), 50–59.JGENDZ
Thomas, G. P. (1981). “Wave-current interactions: An experimental and numerical study. Part I. Linear waves.” J. Fluid Mech.JFLSA7, 110, 457–474.
Thomas, S. D. (1989). “A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. I: Theory.” Comput. Geotech., 8(1), 1–38.CGEOEU
Thomas, S. D. (1995). “A finite element model for the analysis of wave induced stresses, displacements and pore pressure in an unsaturated seabed. II: Model verification.” Comput. Geotech., 17(1), 107–132.CGEOEU
Ulker, M. B. C., Rahman, M. S., and Jeng, D.-S. (2009). “Wave-induced response of seabed: Various formulations and their applicability.” Appl. Ocean Res., 31(1), 12–24.AOCRDS
Yamamoto, T., Koning, H., Sellmeijer, H., and Hijum, E. V. (1978). “On the response of a poro-elastic bed to water waves.” J. Fluid Mech., 87(1), 193–206.JFLSA7
Zen, K., Umehara, Y., and Finn, W. D. L. (1985). “A case study of the wave-induced liquefaction of sand layers under damaged breakwater.” Proc., 3rd Canadian Conf. on Marine Geotech. Eng., Canadian Geotechnical Society, Richmond, BC, Canada, 505–520.
Zienkiewicz, O. C., Chang, C. T., and Bettess, P. (1980). “Drained, undrained, consolidating and dynamic behaviour assumptions in soils.” Geotechnique, 30(4), 385–395.GTNQA8
Zienkiewicz, O. C., and Scott, F. C. (1972). “On the principle of repeatability and its application in analysis of turbine and pump impellers.” Int. J. Numer. Methods Eng.IJNMBH, 4(3), 445–452.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 138Issue 6June 2012
Pages: 601 - 613

History

Received: Jun 26, 2010
Accepted: Nov 17, 2011
Published online: Nov 19, 2011
Published in print: Jun 1, 2012

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Authors

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J. H. Ye
Postgraduate Student, Division of Civil Engineering, Univ. of Dundee, Dundee DD1 4HN, U.K.
Professor, Division of Civil Engineering, Univ. of Dundee, Dundee DD1 4HN, U.K (corresponding author). E-mail: [email protected]; [email protected]

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