Abstract

Rainfall and Its Intensity is needed for planning and designing of various water resource projects including infrastructure such as the design of urban drainage works, Storm Sewers, Culverts and etc. The main aim of this research was to develop Rainfall intensity duration curve for the selected towns in western part of Ethiopia. Gumbel and the Log Pearson Type III Probability distribution (LPT III) were used to develop rainfall intensity duration curves for the selected towns in western part of Ethiopia. The IDF curves developed by Gumbel’s Extreme value distribution shows, the pattern similarity for all return period, duration and all considered stations but the rainfall intensity shows an increasing with increase in the return period and decrease with rainfall duration increase in all return periods and also show high Rainfall intensity (mm/hr.) so that it was used to derive Empirical equation using Logarithmic transformation method to determine the constants (C, m, a) considered to derive the equation. Then the comparison was made between rainfall developed by using Gamble’s Probability distribution and computed by Empirical equation. In all return period and duration of time it shows good relation which approximately equal to unity (R2) but for 1000 return period differs which is still acceptable without any uncertainty for further application. So, the developed Rainfall intensity duration curves and derived empirical equations can be used for the planning and design of any Water Resources projects and infrastructure in the towns related to water resources.

Highlights

  • Rainfall is an important component in the hydrologic cycle

  • The IDF curves are used as an aid when designing drainage structures for any engineering project

  • Rainfall estimates in mm and their intensities in mm/hr. for various return periods and different time durations were analyzed using Gumbel’s Extreme Value Distribution Function along with Log person type III techniques (Tables 3-12) the empirical formula derived using logarithmic transformation approach using the rainfall intensity estimated by Gumbel’s Extreme Value Distribution Function (Table 14)

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Summary

Introduction

Quantification of rainfall is needed for planning and designing of various water resource projects as well as urban infrastructures. Quantification of rainfall is generally done using isopluvial maps and intensity-duration-frequency (IDF) curves [4]. The rainfall characteristics are often required to design water structures, reviewing and updating rainfall characteristics (i.e. Intensity-Duration –Frequency (IDF)) curves for future climate scenarios it becomes very necessary. The IDF relationship is the estimation of rainfall intensities of different rainfall durations and return periods [6]. The intensity-duration-frequency (IDF) relationship is one of the prerequisite statistics in water recourses engineering planning, development, and management and to assess the vulnerability of hydraulic structures. IDF curves describe the amount of rainfall in a watershed area for a given period of time [3]

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