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A new approach for analyzing the velocity distribution of debris flows at typical cross-sections

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Listed:
  • Zheng Han
  • Guangqi Chen
  • Yange Li
  • Linrong Xu
  • Lu Zheng
  • Yingbing Zhang

Abstract

The asymmetrical distribution of debris-flow velocity in a cross-section has long been observed and is currently regarded as one of the most essential issues in debris-flow research. Due to a lack of quantitative models for the velocity distributions of debris flows, most studies consider only the mean velocity. However, to optimize countermeasure structures, to estimate the erosion rate, or to evaluate the constitutive equations for shear behavior, it is beneficial to know the velocity profile in a cross-section. In this paper, a generalized model of typical channel geometries (e.g., rectangular, trapezoid, or V-shape) is proposed. A description of the velocity distribution that optimizes the Manning–Strickler velocity equation for transverse distribution and Egashira’s velocity equation for vertical distribution is presented; thus, the debris-flow velocity at any point in the cross-section can be calculated and the distribution profile therefore obtained. A well-documented debris-flow reference case and the Jiasikou debris flow in the high-seismic-intensity zone of the Wenchuan earthquake are selected as case studies to demonstrate the model. Analyses of both cases confirm the asymmetrical distribution of debris-flow velocity in cross-section, as originally expected. This shows that the velocity at the top surface in the middle of the channel is much larger than that at each sidewall and than the mean value calculated by former equations. The obtained velocity distribution profile is a better approximation of the observed field profiles. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Zheng Han & Guangqi Chen & Yange Li & Linrong Xu & Lu Zheng & Yingbing Zhang, 2014. "A new approach for analyzing the velocity distribution of debris flows at typical cross-sections," 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. 74(3), pages 2053-2070, December.
    • Handle: RePEc:spr:nathaz:v:74:y:2014:i:3:p:2053-2070
    DOI: 10.1007/s11069-014-1276-3
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    References listed on IDEAS

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    1. Dieter Rickenmann, 1999. "Empirical Relationships for Debris 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. 19(1), pages 47-77, January.
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    Cited by:

    1. Wei Wang & Guangqi Chen & Zheng Han & Suhua Zhou & Hong Zhang & Peideng Jing, 2016. "3D numerical simulation of debris-flow motion using SPH method incorporating non-Newtonian fluid behavior," 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. 81(3), pages 1981-1998, April.

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