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Influences of slope grandient on soil erosion

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Abstract

The main factors influencing soil erosion include the net rain excess, the water depth, the velocity, the shear stress of overland flows, and the erosion-resisting capacity of soil. The laws of these factors varying with the slope gradient were investigated by using the kinematic wave theory. Furthermore, the critical slope gradient of erosion was driven. The analysis shows that the critical slope gradient of soil erosion is dependent on grain size, soil bulk density, surface roughness, runoff length, net rain excess, and the friction coefficient of soil, etc. The critical slope gradient has been estimated theoretically with its range between 41. 5° ∼ 50°.

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References

  1. Zingg A W. Degree and length of land slope as it affects soil loss in runoff[J].Agric Eng, 1940,21:59–64.

    Google Scholar 

  2. TANG Li-qun, CHEN Guo-xiang. The dynamic model of water and soil generation in small watershed[J].Journal of Hydrodynamics, Serials A, 1977,12(2):164–174. (in Chinese)

    Google Scholar 

  3. Yair A, Klein M. The influence of surface properties on flow and erosion processes on debris covered slopes in an arid area[J].Catena,1973,1(1):1–8.

    Article  Google Scholar 

  4. Renner F G. Conditions influencing erosion of the boise river watershed[Z].V S Dept Agric Tech Bull, 1936,528.

  5. CHEN Fa-yang. The experiments of the effects of the slops on soil erosion[J].Chinese Soil and Water Conservation, 1985,(2):24–30. (in Chinese)

    Google Scholar 

  6. Horton R E. Erosional development of streams and their drainage basins, hydrophysical approach to quantitative morphology,Geol Soc Amer Ball, 1945,56(3):275–370.

    Google Scholar 

  7. Singer M J, Blackard J. Slope angle-interrill soil loss relationships for slopes up to 50% [J].Soil Sci Soc Am J, 1982,46(6):1270–1273.

    Article  Google Scholar 

  8. ZHANG Ke-li, Hosoyamada K. Influence of slope gradient on interrill erosion of shirasu soil phys [J].Cond Plant Growth Jpn, 1996,(73):37–44.

    Google Scholar 

  9. Emmett W W. Overland flow [A]. In: Kirkby M J Ed.Hillslope Hydrology [C]. John: Wielyand Sons, 1978.

  10. Wolhiser D A, Liggett J A. Unsteady one-dimensional flow over a plane-the rising hydrograph[J].Water Resoyr Res, 1967,3(3):753–771.

    Google Scholar 

  11. Lima J L M P. Model KININF for overland flow on pervious surface[A]. In: A J Parsons Ed.Overland Flow[C]. UCL Press, 1992.

  12. CAO Wen-hong. On the study of the critical slope of soil erosion[J].Soil and Water Conservasion Bulletin, 1993,13(4):1–5. (in Chinese)

    Google Scholar 

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Paper from LI Jia-chun, Member of Editorial of Committee, AMM

Foundation item: the Natioanl Natural Science Foundation of China (19832060); the Foundation of the State Key Laboratory of Soil Erosion and Arid Agriculture

Biography: LIU Qing-quan (1965-), Associate Professor, Doctor

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Qing-quan, L., Li, C. & Jia-chun, L. Influences of slope grandient on soil erosion. Appl Math Mech 22, 510–519 (2001). https://doi.org/10.1007/BF02437740

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  • DOI: https://doi.org/10.1007/BF02437740

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