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A simplified mathematical model for the dam-breach hydrograph for three reservoir geometries following a sudden full dam break

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Listed:
  • Hui Hu

    (Xi’an University of Technology)

  • Jianfeng Zhang

    (Xi’an University of Technology)

  • Tao Li

    (Xi’an University of Technology)

  • Jie Yang

    (Xi’an University of Technology)

Abstract

The prediction of dam-break water flow at dam site is essential to reduce the potential for loss of damage in the downstream floodplain. In this study, the influence of reservoir shapes (rectangular, trapezoidal and triangular wedge) on dam-break discharge hydrographs at a dam site was investigated to estimate the peak discharge and discharge hydrograph quickly. By assuming instantaneous and complete breaches to simplify the discharge process, a formula for the peak discharge and a simple analytical solution to the entire discharge hydrograph following a dam break at the dam site were generated. The discharge hydrograph at the dam site derived by the proposed mathematical model was validated through a comparison with the results calculated by the numerical simulation and other existing approaches. The outflow discharges calculated by both the mathematical and numerical model was very similar under the conditions of the three different reservoir shapes. The overall discharge hydrograph shape was mainly influenced by the length of the reservoir, while the magnitude of the outflow discharge was primarily affected by the initial water depth.

Suggested Citation

  • Hui Hu & Jianfeng Zhang & Tao Li & Jie Yang, 2020. "A simplified mathematical model for the dam-breach hydrograph for three reservoir geometries following a sudden full dam break," 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. 102(3), pages 1515-1540, July.
    • Handle: RePEc:spr:nathaz:v:102:y:2020:i:3:d:10.1007_s11069-020-03979-w
    DOI: 10.1007/s11069-020-03979-w
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    References listed on IDEAS

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    1. Paul Kamrath & Markus Disse & Matthias Hammer & Jürgen Köngeter, 2006. "Assessment of Discharge through a Dike Breach and Simulation of Flood Wave Propagation," 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. 38(1), pages 63-78, May.
    2. M. Peng & L. Zhang, 2012. "Analysis of human risks due to dam-break floods—part 1: a new model based on Bayesian networks," 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. 64(1), pages 903-933, October.
    3. Jian Wang & Dongfang Liang & Jingxin Zhang & Yang Xiao, 2016. "Comparison between shallow water and Boussinesq models for predicting cascading dam-break flows," 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. 83(1), pages 327-343, August.
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    Cited by:

    1. Alibek Issakhov & Aliya Borsikbayeva & Assylbek Issakhov, 2022. "Dam-Break Flow on Mobile Bed Through an Idealized City: Numerical Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(11), pages 4425-4446, September.
    2. Hasan Ogulcan Marangoz & Tugce Anilan, 2022. "Two-dimensional modeling of flood wave propagation in residential areas after a dam break with application of diffusive and dynamic wave approaches," 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. 110(1), pages 429-449, January.
    3. Jūratė Kriaučiūnienė & Diana Šarauskienė, 2024. "Uncertainty Estimation in the Modeling of a Flood Wave Caused by a Dam Failure in a Hydropower System with Pumped Hydro Energy Storage," Sustainability, MDPI, vol. 16(9), pages 1-17, April.

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