Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia

Jemal Ibrahim Mohammed; Getachew Rabo Kumsa

doi:doi:10.11648/j.hyd.20210903.11

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Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia

Jemal Ibrahim Mohammed, Getachew Rabo Kumsa

Published in Hydrology (Volume 9, Issue 3)

Received: 3 May 2021 Accepted: 24 June 2021 Published: 2 August 2021

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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.

Published in	Hydrology (Volume 9, Issue 3)
DOI	10.11648/j.hyd.20210903.11
Page(s)	56-65
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Rainfall IDF Curves, Western Part of Ethiopia, Gumbel Probability Distribution, Empirical Equation

References

[1]	Awofadeju A. S., A. A. (2018). Development of Rainfall Intensity-Duration-Frequency. International Journal of Engineering and Technology, Vol. 10, No. 4, August 2018.
[2]	Awulachew, A. D. (2009). Characterization and Atlas of the Blue Nile Basin. International Water Management Institute.
[3]	Demetris Koutsoyiannis, D. K. (1998). A mathematical framework for studying rainfall Demetris Koutsoyiannis*, Demosthenes Kozonis, Alexandros Manetas. Elsivier, Journal of Hydrology.
[4]	El-Sayed, E. A. (2011). Generation of Rainfall Intensity Duration Frequency Curves For Ungauged Sites. Nile Basin Water Science & Engineering Journal, 112.
[5]	Elsebaie, I. H. (2011). Developing rainfall intensity–duration–frequency relationship for two regions in Saudi Arabia. Riyadh: Journal of King Saud University – Engineering Sciences.
[6]	Hamaamin, Y. A. (2017). Developing of Rainfall Intensity-Duration-Frequency Model for Sulaimani City. Journal of Zankoy Sulaimani.
[7]	Koutsoyiannis. (1992). A Nonlinear Disaggregation Method With a Reduced Parameter Set for Simulation of Hydrologic Series. Water Resources Research.
[8]	Koutsoyiannis, D. (2003). RAINFALL DISAGGREGATION METHODS: THEORY AND APPLICATIONS. Workshop on Statistical and Mathematical Methods for Hydrological Analysis, Rome.
[9]	Monjo, R. (2016). Measure of rainfall time structure using the dimensionless n-index.
[10]	Panagiotis Kossieris, C. M. (2016). A rainfall disaggregation scheme for sub-hourly time scales: Coupling a Bartlett-Lewis based model with adjusting procedures. Journal of Hydrology.
[11]	Thein, S. H. (2019). Modelling of Short Duration Rainfall IDF Equation for Sagaing Region. American Scientific Research Journal for Engineering, Technology, and Sciences (ASRJETS).
[12]	University, C. S. (n.d.). Intensity-Duration-Frequency (IDF) Curves. Hydrologic Science and Engineering.
[13]	WHEATER, C. O. (1994). Improved fitting of the Bartlett-Lewis Rectangular Pulse Model for hourly rainfall,. Hydrological Sciences Journal, 663-680.

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Jemal Ibrahim Mohammed, Getachew Rabo Kumsa. (2021). Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology, 9(3), 56-65. https://doi.org/10.11648/j.hyd.20210903.11

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ACS Style

Jemal Ibrahim Mohammed; Getachew Rabo Kumsa. Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology. 2021, 9(3), 56-65. doi: 10.11648/j.hyd.20210903.11

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AMA Style

Jemal Ibrahim Mohammed, Getachew Rabo Kumsa. Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology. 2021;9(3):56-65. doi: 10.11648/j.hyd.20210903.11

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@article{10.11648/j.hyd.20210903.11,
  author = {Jemal Ibrahim Mohammed and Getachew Rabo Kumsa},
  title = {Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia},
  journal = {Hydrology},
  volume = {9},
  number = {3},
  pages = {56-65},
  doi = {10.11648/j.hyd.20210903.11},
  url = {https://doi.org/10.11648/j.hyd.20210903.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.hyd.20210903.11},
  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.},
 year = {2021}
}

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TY  - JOUR
T1  - Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia
AU  - Jemal Ibrahim Mohammed
AU  - Getachew Rabo Kumsa
Y1  - 2021/08/02
PY  - 2021
N1  - https://doi.org/10.11648/j.hyd.20210903.11
DO  - 10.11648/j.hyd.20210903.11
T2  - Hydrology
JF  - Hydrology
JO  - Hydrology
SP  - 56
EP  - 65
PB  - Science Publishing Group
SN  - 2330-7617
UR  - https://doi.org/10.11648/j.hyd.20210903.11
AB  - 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.
VL  - 9
IS  - 3
ER  -

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Author Information

Jemal Ibrahim Mohammed

Hydraulic and Water Resources Engineering, College of Engineering and Technology, Wollega University, Nekemte, Ethiopia
Getachew Rabo Kumsa

Hydraulic and Water Resources Engineering, College of Engineering and Technology, Wollega University, Nekemte, Ethiopia

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Plain Text BibTeX RIS

APA Style

Jemal Ibrahim Mohammed, Getachew Rabo Kumsa. (2021). Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology, 9(3), 56-65. https://doi.org/10.11648/j.hyd.20210903.11

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ACS Style

Jemal Ibrahim Mohammed; Getachew Rabo Kumsa. Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology. 2021, 9(3), 56-65. doi: 10.11648/j.hyd.20210903.11

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AMA Style

Jemal Ibrahim Mohammed, Getachew Rabo Kumsa. Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia. Hydrology. 2021;9(3):56-65. doi: 10.11648/j.hyd.20210903.11

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@article{10.11648/j.hyd.20210903.11,
  author = {Jemal Ibrahim Mohammed and Getachew Rabo Kumsa},
  title = {Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia},
  journal = {Hydrology},
  volume = {9},
  number = {3},
  pages = {56-65},
  doi = {10.11648/j.hyd.20210903.11},
  url = {https://doi.org/10.11648/j.hyd.20210903.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.hyd.20210903.11},
  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.},
 year = {2021}
}

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TY  - JOUR
T1  - Developing Rainfall Intensity Duration Curve for Selected Towns in Western Part of Ethiopia
AU  - Jemal Ibrahim Mohammed
AU  - Getachew Rabo Kumsa
Y1  - 2021/08/02
PY  - 2021
N1  - https://doi.org/10.11648/j.hyd.20210903.11
DO  - 10.11648/j.hyd.20210903.11
T2  - Hydrology
JF  - Hydrology
JO  - Hydrology
SP  - 56
EP  - 65
PB  - Science Publishing Group
SN  - 2330-7617
UR  - https://doi.org/10.11648/j.hyd.20210903.11
AB  - 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.
VL  - 9
IS  - 3
ER  -

Copy | Download