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《Journal of Sediment Research》 2010-04
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Analyses on flow depth hydrograph of debris-flow surges in Euler and Lagrange coordinate systems

HU Kai-heng1,2,KANG Zhi-cheng1,2,LI Yong1,2(1.Key Laboratory of Mountain Hazards and Surface Processes,Chinese Academy of Sciences,Chengdu,610041,P.R.China;2.Institute of Mountain Hazards and Environment,Chinese Academy of Sciences & Ministry of Water Resources,Chengdu,610041,P.R.China)  
A debris-flow event consists of many intermittent surges,which distinguishes debris flow from flood and sediment-laden flow.The surge’s hydrograph has been described traditionally as linear graph,so triangle method is used to calculate one surge’s bulk volume.After investigating witness by sight and measured data by ultrasonic sensor in Jiangjia Ravine,Yunnan Province,we propose that linear and non-linear hydrographs are just two different forms of a debris-flow surge in Lagrange and Euler reference frames,and the triangle method will cause a big error.Then,on the condition of fully developed surge,the dependences of flow depth on time,and of transverse-averaged velocity on flow depth are modeled as power functions.The power index n of the flow-depth and time function is equal to-0.6417 according to the result fitted from the measured data.Because the power index of the velocity and flow-depth function is equal to n-1/n,the velocity is approximately proportional to 2.56 power of the depth.Finally,we discuss the relationship between the index n and the flow index of debris flow.
【Fund】: 中科院知识创新重要方向项目(KZCX2-YW-302);; 国家自然科学青年科学基金项目(40701014);; 中科院成都山地灾害与环境研究所创新工程项目资助
【CateGory Index】: P642.23
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