Application of incomplete similarity theory to the estimation of the mean velocity of debris flows
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The mean velocity of debris flow is one of the most important parameters in the design of mitigation structures and in quantitative risk analysis. This study develops a model to predict the mean debris flow velocity observed in the field by applying the incomplete similarity argument. An equation for estimating the Darcy-Weisbach resistance coefficient for debris flows with a volumetric sediment concentration larger than 0.19 is accordingly derived using 128 sets of observation data from nine Chinese gullies, in which both the effect of the volumetric sediment concentration and channel slope on resistance are considered. The derived equation is then verified and compared against five previously published equations by using 61 sets of published observation data from six gullies located in four countries. The applications of the proposed equation are discussed, and the improvements made using the proposed equation are clearly very significant when compared with the previously published equations.
KeywordsDebris flow Mean velocity Channel slope Volumetric sediment concentration Incomplete similarity
We would like to thank the reviewers and editors for their comments.
This study was supported by the National Science Foundation of China (Grant No. 41661134012, Grant No. 51409243, Grant No. 41671112).
- Barenblatt GI (1987) Dimensional analysis. Gordon and Breach Science PublishersGoogle Scholar
- Carrière SR, Jongmans D, Chambon G, Bièvre G, Lanson B, Bertello L, Berti M, Jaboyedoff M, Malet JP, Chambers JE (2018) Rheological properties of clayey soils originating from flow-like landslides. Landslides. https://doi.org/10.1007/s10346-018-0972-6
- Chen GX, Wang JK, Wang LH (1983) Debris flow prevention. Chinese Railway Press, Beijing (in Chinese)Google Scholar
- Cohen J, Cohen P, West SG, Aiken LS (2003) Applied multiple regression/correlation analysis for the behavioral sciences, 3rd edn. L. Erlbaum Associates, MahwahGoogle Scholar
- Du RH, Kang ZC, Chen XQ, Zhu PY (1987) A comprehensive investigation and control planning for debris flow in the Xiaojiang River basin of Yunnan Province, Chongqing, China. Scientific and Technical Documentation Press, Chongqing (in Chinese)Google Scholar
- IGC (Institution of Glaciology and Cryopedology), Institution of Sciences of Department of Communications, Gansu, China (1982) Debris flow in Gansu, China. Beijing Communication Press, pp 155–190 (in Chinese)Google Scholar
- Li PJ, Liang DL (1982) Debris flow density and its calculation. Sediment Res 9(3):75–83Google Scholar
- Lo DOK (2000) Review of natural terrain landslide debris-resisting barrier design. GEO report no. 104, geotechnical engineering office, civil engineering department, The Government of Hong Kong Special Administrative RegionGoogle Scholar
- PWRI (1988). Technical standard for measures against debris flow (draft), technical memorandum of PWRI, No. 2632. Ministry of Construction, JapanGoogle Scholar
- Shu AP, Fei XJ (2003) Calculation for velocity and discharge of the viscous debris flow. J Sediment Res 3:7–11Google Scholar
- Wang YY, Zhang QD, Han WL, Hong Y, Zou RY (2003) Stress-strain properties of viscous debris flow and determination of velocity parameter. Chin J Geol Hazard Control 14(1):9–13 (in Chinese)Google Scholar
- Xie XQ, Yao YJ (1991) Discussion on the controlling plan in view of developing trend of mud-rock flow in Santan of the Jinsa River. Bull Soil Water Conserv 11(6):10–16 (in Chinese)Google Scholar
- Yang ZN (1985) Preliminary study on the flowing velocity of viscous debris flows due to intense rainfall. Research of debris flows. Proceeding of the Lanzhou Institute of Glaciology and Cryopedology, Chinese Academy of Sciences. No. 4. Science Press, Beijing (in Chinese)Google Scholar
- Yu B (2008) Study on the mean velocity of viscous debris flows. Adv Earth Science 23(5):524–532 (in Chinese )Google Scholar
- Yu B (2009) Study on mean velocity of less viscous debris flows. J Disas Prev Mitig Eng 29(5):41–548 (in Chinese)Google Scholar
- Zhang XB, Liu J (1989) Debris flow of Dayingjiang river basin, Yunnan Province. Chengdu map press, Chengdu (in Chinese)Google Scholar