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The Power Function for Representing the Reservoir Rating Curve: Morphological Meaning and Suitability for Dam Breach Modelling

Author

Listed:
  • Francesco Macchione

    (University of Calabria)

  • Gianluca De Lorenzo

    (University of Calabria)

  • Pierfranco Costabile

    (University of Calabria)

  • Babak Razdar

    (University of Calabria)

Abstract

In this paper the authors demonstrate that the simple power function gives a good description of the reservoir morphology. This function proved to be suitable for application on 97 reservoirs taken from three different geographical regions in the world. The power function is suitable to obtain an accurate fitting of the reservoir rating curve using a very limited number of surveyed elevations and volumes or areas. In particular it is shown that two points are enough for a good fitting of the curve, or even only one if volume and surface for an elevation close to normal or maximum pool are both available. The results obtained for dam breach calculations using this equation, have the same quality of those achieved using the elevation-volume table. The paper stresses that the exponent of power equation can be expressed by a formula which has a precise morphological meaning, as it represents the ratio between the volume which the reservoir would have if it were a cylinder with its base area and height equal to the respective maximum values of the actual reservoir, and the real volume of the reservoir.

Suggested Citation

  • Francesco Macchione & Gianluca De Lorenzo & Pierfranco Costabile & Babak Razdar, 2016. "The Power Function for Representing the Reservoir Rating Curve: Morphological Meaning and Suitability for Dam Breach Modelling," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(13), pages 4861-4881, October.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:13:d:10.1007_s11269-016-1458-8
    DOI: 10.1007/s11269-016-1458-8
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    1. Zbigniew Kundzewicz & Yukiko Hirabayashi & Shinjiro Kanae, 2010. "River Floods in the Changing Climate—Observations and Projections," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2633-2646, September.
    2. Asmadi Ahmad & Ahmed El-Shafie & Siti Razali & Zawawi Mohamad, 2014. "Reservoir Optimization in Water Resources: a Review," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3391-3405, September.
    3. Vasilis Bellos & George Tsakiris, 2015. "Comparing Various Methods of Building Representation for 2D Flood Modelling In Built-Up Areas," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 379-397, January.
    4. Silvia Bosa & Marco Petti, 2013. "A Numerical Model of the Wave that Overtopped the Vajont Dam in 1963," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(6), pages 1763-1779, April.
    5. Khamis Naba Sayl & Nur Shazwani Muhammad & Zaher Mundher Yaseen & Ahmed El-shafie, 2016. "Estimation the Physical Variables of Rainwater Harvesting System Using Integrated GIS-Based Remote Sensing Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 3299-3313, July.
    6. Lineu Rodrigues & Edson Sano & Tammo Steenhuis & Denílson Passo, 2012. "Estimation of Small Reservoir Storage Capacities with Remote Sensing in the Brazilian Savannah Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(4), pages 873-882, March.
    7. Kong Chhuon & Eugene Herrera & Kazuo Nadaoka, 2016. "Application of Integrated Hydrologic and River Basin Management Modeling for the Optimal Development of a Multi-Purpose Reservoir Project," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 3143-3157, July.
    8. Ismail Haltas & Sebnem Elçi & Gokmen Tayfur, 2016. "Numerical Simulation of Flood Wave Propagation in Two-Dimensions in Densely Populated Urban Areas due to Dam Break," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(15), pages 5699-5721, December.
    9. George Tsakiris & Vasilis Bellos, 2014. "A Numerical Model for Two-Dimensional Flood Routing in Complex Terrains," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(5), pages 1277-1291, March.
    10. Pierfranco Costabile & Francesco Macchione, 2012. "Analysis of One-Dimensional Modelling for Flood Routing in Compound Channels," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(5), pages 1065-1087, March.
    11. George Tsakiris & Mike Spiliotis, 2013. "Dam- Breach Hydrograph Modelling: An Innovative Semi- Analytical Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(6), pages 1751-1762, April.
    12. B. Russo & M. Gómez & F. Macchione, 2013. "Pedestrian hazard criteria for flooded urban areas," 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. 69(1), pages 251-265, October.
    13. Mohammad Azizipour & Vahid Ghalenoei & M. H. Afshar & S. S. Solis, 2016. "Optimal Operation of Hydropower Reservoir Systems Using Weed Optimization Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3995-4009, September.
    14. Nasrin Javadi & Tew-Fik Mahdi, 2014. "Experimental investigation into rockfill dam failure initiation by overtopping," 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. 74(2), pages 623-637, November.
    15. Yutao Qi & Liang Bao & Yingying Sun & Jungang Luo & Qiguang Miao, 2016. "A Memetic Multi-objective Immune Algorithm for Reservoir Flood Control Operation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 2957-2977, July.
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