Development of a generalized Hayami solution for modelling of a diffusive flood wave in arid and non-arid regions

Kashif Noor () and Amro M. M. Elfeki
Additional contact information
Kashif Noor: King Abdulaziz University
Amro M. M. Elfeki: King Abdulaziz University

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2017, vol. 88, issue 1, No 7, 144 pages

Abstract: Abstract Hayami analytical solution for the modelling of a diffusive flood wave is developed and generalized by introducing an additional term, the ‘decay coefficient’ which can influence the shape and the peak of the flood hydrograph while passing in an ephemeral stream and making it robust to handle any shape of the inflow storm hydrograph, respectively. Furthermore, a spreadsheet model of Hayami solution is proposed that takes the inflow flood hydrograph, comprising of unit floods (pulses). It is tested on two Hayami examples, showing identical results. Sensitivity analysis is performed for the selection of a number of pulses that can sway the accuracy of the simulated results. Taking 10 pulses as a reference case, the RMSE converges from 0.7 at one pulse to 0.03 at eight pulses. The significance of this model is proven by its application on the real field data of Yiba catchment, located in Saudi Arabia, where the diffusion coefficient larger than 400 m2/s shows the divergence of the RMSE and the values between 50 and 400 m2/s are the fair estimates in ephemeral streams. Besides, it can also be used as a benchmark tool for testing other numerical schemes.

Keywords: Modelling; Arid region; Wave equation; Simulation; Analytical solution; Diffusion; Ephemeral stream (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11069-017-2859-6 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:nathaz:v:88:y:2017:i:1:d:10.1007_s11069-017-2859-6

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/11069

DOI: 10.1007/s11069-017-2859-6

Access Statistics for this article

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards is currently edited by Thomas Glade, Tad S. Murty and Vladimír Schenk

More articles in Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards from Springer, International Society for the Prevention and Mitigation of Natural Hazards
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().