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Numerical modelling of wave overtopping-induced erosion of grassed inner sea-dike slopes

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  • Tuan Thieu Quang
  • Hocine Oumeraci

Abstract

Recent field wave overtopping experiments on grassed sea-dikes indicate that a moderate-quality grass cover can surprisingly resist severe overtopping rates. This high erosion-resistant capacity against wave overtopping of grass covers is owing to the root reinforcement of grass in the subsoil. Inspired by this finding, the present study makes first attempt to develop a numerical model of wave overtopping-induced erosion of the inner slope of grassed sea-dikes, considering the effect of the root reinforcement. The critical velocity for grass erosion is described as a function of the root cohesion and thus decreases with the erosion depth. This depth-dependent strength of grass allows for a better description of the nature of grass erosion, especially eligible for modelling erosion initiated from a naturally or artificially weak spot in a grass slope. Wave overtopping on grass slopes exhibits high turbulence with entrained air bubbles, for which the bed shear stress determined according to the conventional approach for ordinary open-channel flows is underestimated. To resolve this, it is assumed that the structure of wave overtopping resembles that in a bubbly turbulent wall jet, so that the bed shear stress can be determined in connection with the degree of flow turbulence. Model validation against the data from field overtopping experiments conducted in the Netherlands shows that main features of grass erosion on landward dike slopes are successfully simulated. Numerical experiments on various aspects of grass erosion are carried out which give some new insights into the nature of wave overtopping-induced grass erosion. Also, if the process of breach initiation of a grassed dike can be divided into subprocesses, erosion of the grass turf and erosion of the bare clay cover, an attempt is successfully made to roughly anticipate the breach initiation time of grassed sea-dikes composed of a sand core and a grassed clay cover. Copyright Springer Science+Business Media B.V. 2012

Suggested Citation

  • Tuan Thieu Quang & Hocine Oumeraci, 2012. "Numerical modelling of wave overtopping-induced erosion of grassed inner sea-dike slopes," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 63(2), pages 417-447, September.
  • Handle: RePEc:spr:nathaz:v:63:y:2012:i:2:p:417-447
    DOI: 10.1007/s11069-012-0155-z
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    Citations

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    Cited by:

    1. Hossein Basser & Shahaboddin Shamshirband & Hojat Karami & Dalibor Petković & Shatirah Akib & Afshin Jahangirzadeh, 2014. "Adaptive neuro-fuzzy selection of the optimal parameters of protective spur dike," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 73(3), pages 1393-1404, September.
    2. Bingqi Li & Zhenyu Zhang & Xiaogang Wang & Xiaonan Liu, 2019. "Investigation on the Debonding Failure Model of Anchored Polyurea Coating under a High-Velocity Water Flow and Its Application," Sustainability, MDPI, vol. 11(5), pages 1-22, February.
    3. Hossein Basser & Shahaboddin Shamshirband & Dalibor Petković & Hojat Karami & Shatirah Akib & Afshin Jahangirzadeh, 2014. "RETRACTED ARTICLE: Adaptive neuro-fuzzy prediction of the optimum parameters of protective spur dike," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 73(3), pages 1439-1449, September.
    4. Hai Trung Le & H. J. Verhagen & J. K. Vrijling, 2017. "Damage to grass dikes due to wave overtopping," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 86(2), pages 849-875, March.
    5. Hossein Basser & Shahaboddin Shamshirband & Dalibor Petković & Hojat Karami & Shatirah Akib & Afshin Jahangirzadeh, 2014. "Adaptive neuro-fuzzy prediction of the optimum parameters of protective spur dike," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 73(3), pages 1439-1449, September.
    6. Hossein Basser & Shahaboddin Shamshirband & Hojat Karami & Dalibor Petković & Shatirah Akib & Afshin Jahangirzadeh, 2014. "RETRACTED ARTICLE: Adaptive neuro-fuzzy selection of the optimal parameters of protective spur dike," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 73(3), pages 1393-1404, September.
    7. A. Bomers & J. P. Aguilar Lopez & J. J. Warmink & S. J. M. H. Hulscher, 2018. "Modelling effects of an asphalt road at a dike crest on dike cover erosion onset during wave overtopping," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 93(1), pages 1-30, August.

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