Scientific Journal Of King Faisal University: Basic and Applied Sciences

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Scientific Journal of King Faisal University: Basic and Applied Science

Development of a General Equation for Intensity-Duration-Frequency (IDF): Iraq

(Hasan Hadi Mahdi)

Abstract

In the field of water resource management, rainfall intensity-duration-frequency (IDF) curves are of great importance, especially in the design of hydraulic structures and the assessment of flash-flood risks. The aim of this study is to obtain IDF curves and find empirical equations for rain duration for Al-Najaf city in the southwest of Iraq. Rainfall data for 30 years, from 1989 to 2018, were collected. The practical reduction equation of the Indian Meteorological Department (IMD), with six methods of probability distribution, was used for short intervals (0.25, 0.5, 1, 2, 3, 6, 12, and 24 hours) with a specified recurrence period (100, 50, 25, 10, 5, and 2 years). The Kolmogorov-Smirnov, chi-squared, and Anderson-Darling goodness of fit tests were used with the help of EasyFit 5.6 software. The findings revealed that the highest intensity of rainfall occurs during a repeated cycle of 100 years with a duration of 0.25 hours, while the lowest intensity of rainfall occurs during a repeated cycle of 2 years with a duration of 24 hours. In the results obtained from the six methods, as well as the superiority of the log Pearson type III method, the consistency of the fit tests showed some convergence.

KEYWORDS
EasyFit 5.6 software, IMD equation, Kolmogorov-Smirnov test, log Pearson type III technique, probability distribution, return period

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References

Al Mamun, A., bin Salleh, M. N. and Noor, H.M. (2018). Estimation of short-duration rainfall intensity from daily rainfall values in Klang Valley, Malaysia. Applied Water Science, 8(7), 203.‏ DOI: 10.1007/s13201-018-0854-z
Al-Awadi, A.T. (2016). Assessment of intensity duration frequency (IDF) models for Baghdad city, Iraq. Journal of Applied Sciences Research, 12(2), 7–11.‏ 
AlHassoun, S.A. (2011). Developing an empirical formulae to estimate rainfall intensity in Riyadh region. Journal of King Saud University-Engineering Sciences, 23(2), 81–8.‏ DOI: 10.1016/j.jksues.2011.03.003
Dakheel, A.A. (2017). Drawing curves of the rainfall intensity duration frequency (IDF) and assessment equation intensity rainfall for Nasiriyah city, Iraq. University of Thi-Qar Journal, 12(2), 63–82.‏ DOI: 10.32792/utq/utj/vol12/2/6
Dupont, B.S., Allen, D.L. and Clark, K.D. (2000). Revision of the Rainfall-Intensity-Duration Curves for the Commonwealth of Kentucky (Report No. KTC-00-18/SPR-178-98). Kentucky Transportation Center, College of Engineering, University of Kentucky Lexington, Kentucky, USA, 1. Available at: https://rosap.ntl.bts.gov/view/dot/21528. (accessed on 20/09/2020).
Elsebaie, H.I. (2010). Developing rainfall intensity–duration–frequency relationship for two regions in Saudi Arabia. Journal of King Saud University, Engineering Resource, 24(2), 131–40. DOI: 10.1016/j.jksues.2011.06.001
Hadadin, N.A. (2005). Rainfall intensity-duration-frequency relationship in the Mujib basin in Jordan. Journal of Applied Science, 8(10), 1777–84.
Hamaamin, Y.A. (2017). Developing of rainfall intensity-duration-frequency model for Sulaimani city.‏ Journal of Zankoy Sulaimani, 19(Part A), 93–102. 
Hussain, R.A. (2006). Intensity-duration-frequency analysis for rainfall in Baiji station.‏ Tikrit Journal of Eng, Sciences, 13(4), 116–35.
Hussain, T.A., Al_Kindi, G.Y. and Kadhim, R.J. (2017). Water balance for the city of Al-Najaf Al-Ashraf/Southern Iraq. Diyala Journal for Pure Science, 13(4-part 2), 186–97.
Hussein, A.K. (2014). Deriving rainfall intensity-duration-frequency relationships for Kerbala city. ALMuthana Journal for Engineering Sciences, 3(1), 25–37.
Jaleel, L.A. and Farawn, M.A. (2013). Developing rainfall intensity-duration-freqency relationship for Basrah city. Kufa Journal of Engineering, 5(1), 105–12.‏
MathWave Technologies. (2020). Statistical Distribution Information. Available at: http://www.mathwave.com (accessed on 20/09/2020).
MOTRANS, Ministry of Transportation. (2015). Meteorological Data of Al-Najaf Province Station. Iraq: Ministry of Transportation, Iraqi Meteorological Organization and Seismology.
Namitha, M.R. and Vinothkumar, V. (2019). Derivation of the intensity-duration-frequency curve for annual maxima rainfall using generalised extreme value distribution. Int. J. Curr. Microbiol. App. Sci, 8(1), 2626–32.‏ DOI: 10.20546/ijcmas.2019.801.276
Nhat, L.M., Tachikawa, Y. and Takara, K. (2006). Establishment of intensity-duration-frequency curves for precipitation in the monsoon area of Vietnam. Annuals of Disas. Prev. Res. Inst.‏, 49(Part B), 93–103.