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An Approximately Semi-Analytical Model for Describing Surface Runoff of Rainwater Over Sloped Land

Author

Listed:
  • Ting Yang

    (Xi’an University of Technology
    University of California)

  • Quanjiu Wang

    (Xi’an University of Technology
    Northwest Agriculture&Forestry University)

  • Lijun Su

    (Xi’an University of Technology)

  • Laosheng Wu

    (University of California)

  • Guangxu Zhao

    (Xi’an University of Technology)

  • Yanli Liu

    (Xi’an University of Technology)

  • Pengyu Zhang

    (Xi’an University of Technology)

Abstract

Accurate prediction of surface runoff is critical to watershed management. In this research a semi-analytical model was adopted to solve the kinematic wave equation based on the assumption that the rate of overland-flow depth change is proportional to the rainfall excess. Simulations were compared with the results from laboratory experiments at various rain intensities. Parameters of infiltration rate and Manning’s roughness coefficient were determined. The accuracy of the semi-analytical model was evaluated by numerical simulations. The predicted outflow rates from the numerical simulations agreed well with the observed data. Further, our study indicated that the ratio (c) of the overland-flow depth change to the rainfall excess was a power function of the rain intensity. The depth and velocity of water flow at any time and distance could be calculated with the semi-analytical model. Hydraulic parameters including Reynolds number, Froude number, hydraulic shear stress, stream power and Darcy-Weisbach friction factor characterizing the dynamic features of overland flow of rainwater were calculated based on calculated overland-flow depth and velocity. The proposed analytical method can provide a new way to predict infiltration and runoff over sloped land.

Suggested Citation

  • Ting Yang & Quanjiu Wang & Lijun Su & Laosheng Wu & Guangxu Zhao & Yanli Liu & Pengyu Zhang, 2016. "An Approximately Semi-Analytical Model for Describing Surface Runoff of Rainwater Over Sloped Land," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3935-3948, September.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:11:d:10.1007_s11269-016-1400-0
    DOI: 10.1007/s11269-016-1400-0
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    References listed on IDEAS

    as
    1. Dave Deckers & Martijn Booij & Tom Rientjes & Maarten Krol, 2010. "Catchment Variability and Parameter Estimation in Multi-Objective Regionalisation of a Rainfall–Runoff Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(14), pages 3961-3985, November.
    2. Ching-Nuo Chen & Chih-Heng Tsai & Chang-Tai Tsai, 2011. "Simulation of Runoff and Suspended Sediment Transport Rate in a Basin with Multiple Watersheds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 793-816, February.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Ting Yang & Lijun Su & Laosheng Wu & Quanjiu Wang, 2020. "Overland Flow along Stone Covered Slope Land Simulated with Semi-Analytical and Numerical Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(1), pages 51-69, January.
    2. Julio Cesar Neves Santos & Eunice Maia Andrade & Pedro Henrique Augusto Medeiros & Maria João Simas Guerreiro & Helba Araújo Queiroz Palácio, 2017. "Effect of Rainfall Characteristics on Runoff and Water Erosion for Different Land Uses in a Tropical Semiarid Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(1), pages 173-185, January.

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