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Landslide dam failure and flood hydraulics. Part II: coupled mathematical modelling

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  • Zhixian Cao
  • Zhiyuan Yue
  • Gareth Pender

Abstract

A coupled 2D mathematical modelling study of landslide dam failure and flood is presented, complementing our experimental investigation presented in the companion paper. The model is built upon the shallow water hydrodynamic equations. The governing equations are numerically solved using the total-variation-diminishing version of the second-order weighted-average-flux method along with the HLLC (Harten, Lax and van Leer with Contact wave restored) approximate Riemann solver. Two parameters related to bed-load sediment transport and critical slope stability are calibrated using the measured stage hydrographs from two runs of the flume experiments. The calibrated model is then applied to other independent runs of the experiments featuring different inflow discharges, dam geometry, dam composition and initial breach dimensions. It is found to be able to satisfactorily reproduce the measured stage hydrographs and the widening of initial breach. The experimental observation of the prime role of the inflow discharge and initial breach in dictating the dam failure process and flood is unequivocally resolved, along with the impacts of dam geometry as well the content of cohesive clay and gravel in the dam. Interestingly, the downstream peak discharge and stage of the flood are substantially reduced by initial breach, which clearly exemplifies its role in modulating the flooding. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • Zhixian Cao & Zhiyuan Yue & Gareth Pender, 2011. "Landslide dam failure and flood hydraulics. Part II: coupled mathematical modelling," 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. 59(2), pages 1021-1045, November.
    • Handle: RePEc:spr:nathaz:v:59:y:2011:i:2:p:1021-1045
    DOI: 10.1007/s11069-011-9815-7
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    1. Zhixian Cao & Zhiyuan Yue & Gareth Pender, 2011. "Landslide dam failure and flood hydraulics. Part I: experimental investigation," 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. 59(2), pages 1003-1019, November.
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    Cited by:

    1. Ridong Chen & Songdong Shao & Xingnian Liu, 2015. "Water–sediment flow modeling for field case studies in Southwest China," 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. 78(2), pages 1197-1224, September.
    2. Wei Liu & Siming He, 2018. "Dynamic simulation of a mountain disaster chain: landslides, barrier lakes, and outburst floods," 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. 90(2), pages 757-775, January.
    3. Zhixian Cao & Zhiyuan Yue & Gareth Pender, 2011. "Landslide dam failure and flood hydraulics. Part I: experimental investigation," 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. 59(2), pages 1003-1019, November.

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    1. Wei Liu & Siming He, 2018. "Dynamic simulation of a mountain disaster chain: landslides, barrier lakes, and outburst floods," 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. 90(2), pages 757-775, January.

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