Two-Dimensional Model for Accumulation of Pore Pressure in Marine Sediments
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 141, Issue 3
Abstract
A two-dimensional (2D) porous model was developed to investigate the accumulation of pore pressure in marine sediments in which the volume-averaged Reynolds-averaged Navier-Stokes (VARANS) equations were used as the governing equations for the wave motion and the Biot consolidation theory was used for the porous seabed. Unlike most of the previous investigations on the accumulation of pore pressure in which the amplitude of the shear stress over the wave period was used in the source term, in this study, the source term was redefined as a time-dependent function using the phase-resolved oscillatory shear stresses. Overall good agreement of both the oscillatory and residual pore pressures with previous analytical solutions and experimental data demonstrated the reliability of the model for the prediction of wave-induced pore-pressure accumulation. For the case with progressive wave loadings, the liquefaction zone related to the initial incident of the wave phases was formed as a 2D pattern during the first liquefaction wave period. This 2D pattern became one-dimensional after one wave period, decreasing progressively to a constant value after a number of wave cycles. For the case with standing wave loadings, a 2D liquefaction zone occurred first in the region where the shear strains are highest. Eventually, this 2D pattern becomes continuous, which implies that even the soil in the antinode section can be liquefied. Compared with the seabed response under linear wave loading, the pore pressure more easily accumulates to a higher value under nonlinear wave loading because of the higher peak in the shear strains. Parametric studies indicate that both the wave characteristics and soil properties affect the maximum relative liquefaction depth () significantly. In general, the maximum liquefaction depth increases as the wave height and wavelength increase in shallow water within the seabed, which has a lower permeability and lower relative density.
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Acknowledgments
This study was partially funded by the EU commission through the FP-7 Project “Innovative Multi-purpose Offshore Platforms: Planning Design and Operation” (MERMAID, G.A. No. 288710). We gratefully acknowledge the support of the Griffith University eResearch Services team and the use of the High Performance Computing Cluster “Gowonda” to complete this research.
References
Biot, M. A. (1941). “General theory of three-dimensional consolidation.” J. Appl. Phys., 12(2), 155–164.
Cheng, L., Sumer, B. M., and Fredsøe, J. (2001). “Solution of pore pressure build up due to progressive waves.” Int. J. Numer. Anal. Methods Geomech., 25(9), 885–907.
COMSOL 3.5a [Computer software]. Burlington, MA, COMSOL.
De Alba, P. A., Chan, C. K., and Seed, H. B. (1976). “Sand liquefaction in large-scale simple shear tests.” J. Geotech. Engrg. Div., 102(9), 909–927.
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.
Jeng, D.-S. (2013). Porous models for wave-seabed interactions, Springer, Heidelberg, Germany.
Jeng, D.-S., Seymour, B. R., and Li, J. (2007). “A new approximation for pore pressure accumulation in marine sediment due to water wave.” Int. J. Numer. Anal. Methods Geomech., 31(1), 53–69.
Kirca, V. S. O., Sumer, B. M., and Fredsøe, J. (2013). “Residual liquefaction of seabed under standing waves.” J. Waterway, Port, Coastal, Ocean Eng., 489–501.
Lin, P., and Liu, P. L.-F. (1999). “Internal wave-maker for Navier-Stokes equations models.” J. Waterway, Port, Coastal, Ocean Eng., 207–215.
Liu, B., and Jeng, D.-S. (2013). “Laboratory study for pore pressure in sandy bed under wave loading.” Proc., of the 23rd (2013) Int. Offshore and Polar Engineering Conf., International Society of Offshore and Polar Engineers, Cupertino, CA, 1432–1437.
Liu, Z., Jeng, D.-S., Chan, A. H., and Luan, M. T. (2009). “Wave-induced progressive liquefaction in a poro-elastoplastic seabed: A two-layered model.” Int. J. Numer. Anal. Methods Geomech., 33(5), 591–610.
McDougal, W. G., Tsai, Y. T., Liu, P. L.-F., and Clukey, E. C. (1989). “Wave-induced pore water pressure accumulation in marine soils.” J. Offshore Mech. Arct. Eng., 111(1), 1–11.
Rodi, W. (1980). Turbulence models and their application in hydraulics-state-of-the-art review, Balkema, Rotterdam, Netherlands.
Sassa, S., and Sekiguchi, H. (1999). “Wave-induced liquefaction of beds of sand in a centrifuge.” Géotechnique, 49(5), 621–638.
Sassa, S., and Sekiguchi, H. (2001). “Analysis of wave-induced liquefaction of sand beds.” Géotechnique, 51(2), 115–126.
Sassa, S., Sekiguchi, H., and Miyamoto, J. (2001). “Analysis of progressive liquefaction as a moving-boundary problem.” Géotechnique, 51(10), 847–857.
Seed, H. B., and Rahman, M. S. (1978). “Wave-induced pore pressure in relation to ocean floor stability of cohesionless soils.” Mar. Geotechnol., 3(2), 123–150.
Sekiguchi, H., Kita, K., and Okamoto, O. (1995). “Response of poro-elastoplastic beds to standing waves.” Soils Found., 35(3), 31–42.
Sumer, B. M. (2014). Liquefaction around marine structures, World Scientific, Singapore.
Sumer, B. M., and Fredsøe, J. (2002). The mechanism of scour in the marine environment, World Scientific, Singapore.
Sumer, B. M., Fredsøe, J., Christensen, S., and Lind, M. T. (1999). “Sinking/floatation of pipelines and other objects in liquefied soil under waves.” Coast. Eng., 38(2), 53–90.
Sumer, B. M., Kirca, V. S. O., and Fredsøe, J. (2012). “Experimental validation of a mathematical model for seabed liquefaction under waves.” Int. J. Offshore Polar Eng., 22(2), 133–141.
Tsai, C. P., and Lee, T. L. (1995). “Standing wave induced pore pressures in a porous seabed.” Ocean Eng., 22(6), 505–517.
Tzang, S. Y. (1998). “Unfluidized soil responses of a silty seabed to monochromatic waves.” Coast. Eng., 35(4), 283–301.
Zen, K., and Yamazaki, H. (1990). “Mechanism of wave-induced liquefaction and densification in seabed.” Soils Found., 30(4), 90–104.
Zhao, H.-Y., Jeng, D.-S., Guo, Z., and Zhang, J.-S. (2014). “Two-dimensional model for pore pressure accumulations in the vicinity of a buried pipeline.” J. Offshore Mech. Arct. Eng., 136(4), 042001.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 141 • Issue 3 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Sep 8, 2013
Accepted: Aug 26, 2014
Published online: Oct 6, 2014
Published in print: May 1, 2015
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