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Rainfall-runoff modelling using a spatially distributed electrical circuit analogue

Author

Listed:
  • Khodayar Abdollahi

    (Vrije Universiteit Brussel)

  • Pablo Guzmán

    (Vrije Universiteit Brussel
    Universidad de Cuenca
    KU Leuven)

  • Marijke Huysmans

    (Vrije Universiteit Brussel)

  • Okke Batelaan

    (Flinders University)

Abstract

The assessment and prevention of floods require appropriate forecasting and knowledge of the related hydrological processes. Due to the similar form of the governing equations, flood hydrograph shows a clear analytical and mathematical analogy with electrical circuits. In this paper, a spatially distributed hydrological model is developed which is analogue to a network of electrical resistance–capacitance with five circuits for describing the hydrological processes leading to floods. The spatially distributed hydrological model simulates rainfall, potential evapotranspiration, canopy interception, surface storage and soil storage. The parameters for analogical modelling were derived from translation of the physical catchment characteristics. A two-parameter Weibull equation aggregates the response functions of each pixel and calculates the hydrograph of the catchment. We applied the model to the ‘Open-Book’ or ‘tilted V-catchment’ theoretical benchmark problem, as well as to four hourly flood events and simulation of daily discharges. For the last two cases, data were used from the mountainous catchment of upper Tarqui in the Andes of Ecuador. Comparison of single versus multiple circuit designs for the benchmark problem indicates that the multiple circuit analogy provides a result similar to other hydrological models. The results further illustrate the usefulness of the methodology for flood modelling and how it can simplify the simulation for ungauged basins of temporal and spatial variations of influencing hydrological processes.

Suggested Citation

  • Khodayar Abdollahi & Pablo Guzmán & Marijke Huysmans & Okke Batelaan, 2016. "Rainfall-runoff modelling using a spatially distributed electrical circuit analogue," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 82(2), pages 1279-1300, June.
    • Handle: RePEc:spr:nathaz:v:82:y:2016:i:2:d:10.1007_s11069-016-2243-y
    DOI: 10.1007/s11069-016-2243-y
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    References listed on IDEAS

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    1. R. Rai & S. Sarkar & V. Singh, 2009. "Evaluation of the Adequacy of Statistical Distribution Functions for Deriving Unit Hydrograph," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(5), pages 899-929, March.
    2. S. Jonkman, 2005. "Global Perspectives on Loss of Human Life Caused by Floods," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 34(2), pages 151-175, February.
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    Cited by:

    1. Jianzhu Li & Yuming Lei & Senming Tan & Colin D. Bell & Bernard A. Engel & Yixuan Wang, 2018. "Nonstationary Flood Frequency Analysis for Annual Flood Peak and Volume Series in Both Univariate and Bivariate Domain," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(13), pages 4239-4252, October.

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