CHEN Hong-kai, TANG Hong-mei, CHEN Ye-ying. Research on Method to Calculate Velocities of Solid Phase and Liquid Phase in Debris Flow[J]. Applied Mathematics and Mechanics, 2006, 27(3): 357-364.
 Citation: CHEN Hong-kai, TANG Hong-mei, CHEN Ye-ying. Research on Method to Calculate Velocities of Solid Phase and Liquid Phase in Debris Flow[J]. Applied Mathematics and Mechanics, 2006, 27(3): 357-364.

# Research on Method to Calculate Velocities of Solid Phase and Liquid Phase in Debris Flow

• Rev Recd Date: 2005-11-01
• Publish Date: 2006-03-15
• Velocity 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 two-phase liquid composed of solid phase with the same diameter particles and liquid phase with the same mechanical features.Assuming debris flow is 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.Especially,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 forwarded,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 beidentified through analyzing deposits in-situ after occurring of debris flow.It is obvious from engineering case that in the method it is consistent to that in real-time field observation.
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