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Research on method to calculate velocities of solid phase and liquid phase in debris flow

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Abstract

Velocities of solid phase and liquid phase in debris flow are one key problem to research on impact and abrasion mechanism of banks and control structures under action of debris flow. Debris flow was simplified as two-phase liquid composed of solid phase with the same diameter particles and liquid phase with the same mechanical features. Assume debris flow was one-dimension two-phase liquid moving to one direction, then general equations of velocities of solid phase and liquid phase were founded in two-phase theory. Methods to calculate average pressures, volume forces and surface forces of debris flow control volume were established. Specially, surface forces were ascertained using Bingham’s rheology equation of liquid phase and Bagnold’s testing results about interaction between particles of solid phase. Proportional coefficient of velocities between liquid phase and solid phase was put forward, meanwhile, divergent coefficient between theoretical velocity and real velocity of solid phase was provided too. To state succinctly before, method to calculate velocities of solid phase and liquid phase was obtained through solution to general equations. The method is suitable for both viscous debris flow and thin debris flow. Additionally, velocities every phase can be identified through analyzing deposits in-situ after occurring of debris flow. It is obvious from engineering case the result in the method is consistent to that in real-time field observation.

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Authors and Affiliations

  1. Institute of Geotechnical Engineering, Chongqing Jiaotong University, Chongqing, 400074, P. R. China

    Chen Hong-kai  (陈洪凯) (Professor, Doctor), Tang Hong-mei  (唐红梅) & Chen Ye-ing  (陈野鹰)

  2. Key Laboratory for the Exploitation of Southwestern Resources and the Environmental Disaster Control Engineering, Ministry of Education, Chongqing University, Chongqing, 400044, P. R. China

    Chen Hong-kai  (陈洪凯) (Professor, Doctor), Tang Hong-mei  (唐红梅) & Chen Ye-ing  (陈野鹰)

Authors
  1. Chen Hong-kai  (陈洪凯)
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  2. Tang Hong-mei  (唐红梅)
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  3. Chen Ye-ing  (陈野鹰)
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Corresponding author

Correspondence to Chen Hong-kai  (陈洪凯).

Additional information

Communicated by LIU Yu-lu

Project supported by the Talent Fund of the Ministry of Communication of China(No.95050508); the Fund of Western Communication of China(No.200332822047); the Key Science Fund of the Ministry of Communication of China(No.95060233)

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Chen, Hk., Tang, Hm. & Chen, Yi. Research on method to calculate velocities of solid phase and liquid phase in debris flow. Appl Math Mech 27, 399–408 (2006). https://doi.org/10.1007/s10483-006-0317-z

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  • DOI: https://doi.org/10.1007/s10483-006-0317-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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