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Comparison between Normal and Gumbel Methods in the Prediction of Rainfall Intensity Duration Frequency Curves for Uyo Metropolis

Arimieari L. W., Egop, S. E., Okechukwu, D. A.

Abstract


In this study the relationship between rainfall amount, duration and frequency are studied for Uyo, Nigeria with obtained data from Nigeria Hydrological Services Agency (NIHSA), Abuja and sorted for frequency analysis with two different techniques namely; Gumbel and Normal distribution methods. An empirical formula showing the equation between the maximum intensity of rainfall (the dependent variable) and other relevant factors like the frequency and duration of the rainfall (the independent variables) Using the "Talbot Rainfall Intensity Duration Frequency (IDF) Equation," the appropriate curves were created for the research area.The Goodness of fit test confirmed the appropriateness of the fitted distribution. Gumbel graphical plots and computed confidence limits further shown that, for the chosen return periods (5, 10, 15, 20, 25, and 30 years) and durations (10, 15, 30, 60, 120, and 240 minutes), the Gumbel function fits the set data well. Although, the Normal distributions gave good results. Using this technique, IDF curves for rainfall intensity duration frequencies are produced for Uyo, Nigeria. Hydrological design of hydraulic structures requires the knowledge of rainfall intensities, critical storm duration (concentration of times for determining peak discharge) for the catchment region, and selected frequencies (return period).


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References


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