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Numerical Modeling of the Dynamic Response of an Elastoplastic Seabed Under Wave-Current Interactions

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Abstract

Wave-induced liquefaction of the seabed is a geohazard frequently encountered in shallow waters. Although widely discussed, most studies paid attention to the seabed response under a single sequence of wave loading. However, the seabed suffers from repeated ‘wave loading-dissipation’ phases in a real ocean environment. In this study, a homogeneous sandy seabed model is established to investigate the mechanism of wave-induced liquefaction by considering the existence of currents. Finite element analyses are conducted by incorporating a kinematic hardening elastoplastic model into the commercial package Abaqus. The constitutive model is validated against centrifugal wave tests. Parametric studies are conducted to demonstrate the effects of relative densities, current, and wave-loading history on the seabed response. The predicted excess pore pressure, effective stress paths, and associated variation of relative density are discussed in detail. The results show that the densification of soils significantly enhances the resistance against liquefaction, which provides new insight into the mechanism of residual liquefaction during wave sequences.

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References

  • Asaoka, A., Nakano, M., and Noda, T., 1998. Super loading yield surface concept for the saturated structured soils. Proceedings of the 4th European Conference on Numerical Methods in Geotechnical Engineering-NUMGE98. Udine, 232–242.

  • Coussy, O., Dormieux, L., and Detournay, E., 1998. From mixture theory to Biot’s approach for porous media. International Journal of Solids and Structures, 35: 4619–4635.

    Article  Google Scholar 

  • Dassault Systèmes, 2014. Abaqus version 6.14 documentation. Dassault Systèmes Simulia Corp., Providence, RI, USA.

    Google Scholar 

  • Di, Y., and Sato, T., 2003. Liquefaction analysis of saturated soils taking into account variation in porosity and permeability with large deformation. Computers and Geotechnics, 30: 623–635.

    Article  Google Scholar 

  • Gao, F. P., and Wu, Y. X., 2006. Non-linear wave-induced transient response of soil around a trenched pipeline. Ocean Engineering, 33: 3–4.

    Article  Google Scholar 

  • Hashiguchi, K., and Chen, Z. P., 1998. Elasto-plastic constitutive equations of soils with the subloading surface and the rotational hardening. International Journal for Numerical and Analytical Methods in Geomechanics, 22: 197–227.

    Article  Google Scholar 

  • Hashiguchi, K., and Ueno, M., 1977. Elastoplastic constitutive laws of granular material, constitutive equations of soils. Proceedings of the 9th International Conference on Soil Mechanics and Foundation Engineering. JSSMFE, Tokyo, 73–82.

    Google Scholar 

  • Hsu, H. C., Chen, Y. Y., Hsu, J. R. C., and Tseng, W. J., 2009. Nonlinear water waves on uniform current in Lagrangian coordinates. Journal of Nonlinear Mathematical Physics, 16: 47–61.

    Article  Google Scholar 

  • Ishihara, K., 1993. Liquefaction and flow failure during earthquakes. Géotechnique, 43: 351–415.

    Article  Google Scholar 

  • Jeng, D. S., Seymour, B. R., and Li, J., 2007. A new approximation for pore pressure accumulation in marine sediment due to water waves. International Journal for Numerical and Analytical Methods in Geomechanics, 31: 53–69.

    Article  Google Scholar 

  • Laitone, E. V., 1962. Limiting conditions for cnoidal and Stokes waves. Journal of Geophysical Research, 67: 1555–1564.

    Article  Google Scholar 

  • Lanzano, G., Visone, C., Bilotta, E., and Filippo, S. D. M., 2016. Experimental assessment of the stress-strain behaviour of Leighton Buzzard sand for the calibration of a constitutive model. Geotechnical and Geological Engineering, 34: 991–1012.

    Article  Google Scholar 

  • Li, X. J., Gao, F. P., Yang, B., and Zang, J., 2011. Wave-induced Pore pressure responses and soil liquefaction around pile foundation. International Journal of Offshore and Polar Engineering, 21: 233–239.

    Google Scholar 

  • Li, Z., Jeng, D. S., Zhu, J. F., and Zhao, H., 2019. Effects of principal stress rotation on the fluid-induced soil response in a porous seabed. Journal of Marine Science and Engineering, 7: 123.

    Article  Google Scholar 

  • Pastor, M., Zienkiewicz, O. C., and Chan, A. H. C., 1990. Generalized plasticity and the modeling of soil behaviour. International Journal for Numerical and Analytical Methods in Geomechanics, 14: 151–190.

    Article  Google Scholar 

  • Sassa, S., and Sekiguchi, H., 1999. Wave-induced liquefaction of beds of sand in a centrifuge. Géotechnique, 49: 621–638.

    Article  Google Scholar 

  • Sassa, S., and Sekiguchi, H., 2001. Analysis of wave-induced liquefaction of sand beds. Géotechnique, 51: 115–126.

    Article  Google Scholar 

  • Sassa, S., Sekiguchi, H., and Miyamoto, J., 2001. Analysis of progressive liquefaction as a moving-boundary problem. Géotechnique, 51: 847–857.

    Article  Google Scholar 

  • Sassa, S., Takayama, T., Mizutani, M., and Tsujio, D., 2006. Field observations of the build-up and dissipation of residual pore water pressures in seabed sands under the passage of storm waves. Journal of Coastal Research, 39: 410–414.

    Google Scholar 

  • Seed, H. B., and Rahman, M. S., 1978. Wave-induced pore pressure in relation to ocean floor stability of cohesionless soils. Marine Geotechnology, 3: 123–150.

    Article  Google Scholar 

  • Sui, T. T., Zhang, C., Jeng, D. S., Guo, Y. K., Zheng, J. H., Zhang, W., et al., 2019. Wave-induced seabed residual liquefaction around a mono-pile foundation with various embedded depth. Ocean Engineering, 173: 157–173.

    Article  Google Scholar 

  • Sui, T. T., Zheng, J. H., Zhang, C., Jeng, D. S., Zhang, J. S., Guo, Y. K., et al., 2017. Consolidation of unsaturated seabed around an inserted pile foundation and its effects on the wave-induced momentary liquefaction. Ocean Engineering, 131: 308–321.

    Article  Google Scholar 

  • Sumer, B. M., Hatipoglu, F., Fredsøe, J., and Sumer, S. K., 2006. The sequence of soil behavior during wave-induced liquefaction. Sedimentology, 53: 611–629.

    Article  Google Scholar 

  • Sumer, B. M., Kirca, V. S. O., and Fredsøe, J., 2012. Experimental validation of a mathematical model for seabed liquefaction under waves. International Journal of Offshore and Polar Engineering, 22: 133–141.

    Google Scholar 

  • Tian, Z. C., Guo, X. J., Qiao, L. Z., Yu, L., Xu, G. H., and Liu, T., 2019. Formation mechanism of large pockmarks in the subaqueous Yellow River Delta. Marine Georesources & Geotechnology, 37: 651–659.

    Article  Google Scholar 

  • Ulker, M. B. C., Rahman, M. S., and Jeng, D. S., 2009. Wave-induced response of seabed: Various formulations and their applicability. Applied Ocean Research, 31: 12–24.

    Article  Google Scholar 

  • Wang, Z., Yang, Y., and Yu, H., 2017. Effects of principal stress rotation on the wave-seabed interactions. Acta Geotechnica, 12: 97–106.

    Article  Google Scholar 

  • Wu, J., Kammaerer, A. M., Riemer, M, F., Seed, R. B., and Pestana, J. M., 2004. Laboratory study of liquefaction triggering criteria. Proceedings of 13th World Conference on Earthquake Engineering. Vancouver British Columbia, Canada, Paper No. 2580.

  • Yamamoto, T., Koning, H., Sellmeijer, H., and Hijum, E. V., 1978. On the response of a poro-elastic bed to water waves. Journal of Fluid Mechanics, 87: 193–206.

    Article  Google Scholar 

  • Ye, G. L., Leng, J., and Jeng, D. S., 2018. Numerical testing on wave-induced seabed liquefaction with a poro-elastoplastic model. Soil Dynamics and Earthquake Engineering, 105: 150–159.

    Article  Google Scholar 

  • Ye, J. H., and Jeng, D. S., 2012. Response of porous seabed to nature loadings: Waves and currents. Journal of Engineering Mechanics, 138: 601–613.

    Article  Google Scholar 

  • Zen, K., and Yamazaki, H., 1990. Mechanism of wave-induced liquefaction and densification in seabed. Soils and Foundations, 30: 90–104.

    Article  Google Scholar 

  • Zen, K., and Yamazaki, H., 1991. Field observation and analysis of wave-induced liquefaction in seabed. Soils and Foundations, 31: 161–179.

    Article  Google Scholar 

  • Zhang, F., Ye, B., and Ye, G. L., 2011. Unified description of sand behavior. Frontiers of Architecture and Civil Engineering, 5: 121–150.

    Article  Google Scholar 

Download references

Acknowledgements

This paper was supported by the National Natural Science Foundation of China (Nos. U1806230 and 42025702), and the Key Science and Technology Plan of PowerChina Huadong Engineering Corporation (No. KY2018-ZD-01).

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Correspondence to Dong Wang.

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Shan, Z., Zhu, Z., Wang, D. et al. Numerical Modeling of the Dynamic Response of an Elastoplastic Seabed Under Wave-Current Interactions. J. Ocean Univ. China 22, 43–52 (2023). https://doi.org/10.1007/s11802-023-5076-9

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  • DOI: https://doi.org/10.1007/s11802-023-5076-9

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