Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India

Nirman Bhagat

doi:doi:10.11648/j.wros.20170604.11

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Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India

Nirman Bhagat

Published in Journal of Water Resources and Ocean Science (Volume 6, Issue 4)

Received: 29 April 2017 Accepted: 10 May 2017 Published: 4 July 2017

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Abstract

Estimation of Peak Flood Discharge for a desired return period is a pre-requisite for planning, design and management of hydraulic structures like barrages, dams, spillways, bridges etc. This paper presents results of a study carried out at analyzing the frequency of Lower Mahi River floods using the Gumbel’s distribution method which is one of the probability distribution methods used to model stream flows. The method was used to model the annual maximum discharge of the river from Wanakbori Weir (regulating structure in the river) for a period of 30 years (1980 to 2009). From the regression analysis equation, R2 gives a value of 0.964 which shows that Gumbel’s distribution is suitable for predicting the expected flow in the river. Using the same method the peak flood values for different Return Periods were also obtained, which can prove useful for the storm management in the area.

Published in	Journal of Water Resources and Ocean Science (Volume 6, Issue 4)
DOI	10.11648/j.wros.20170604.11
Page(s)	51-54
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

Flood Frequency Analysis, Gumbel’s Distribution Method, Lower Mahi River

References

[1]	C. T. Haan, “Statistical Methods in Hydrology.” Iowa State University Press, Ames, Iowa. I '. Haefner, Journal of Water, 1997.
[2]	Chow, V. T., Maidment,. R., Mays, L. W. (1988), “Applied Hydrology”. McGraw Hill Book Company, Singapore.
[3]	G. S. Law, and G. D Tasker, “Flood-Frequency prediction methods for unregulated streams of Tennessee.” Water Resources Investigations Report 03-4176, Nashville, Tennessee, 2003.
[4]	Izinyon, O. C. and Igbinoba E. (2011), “Flood Frequency Analysis of Ikpoba River Catchment at Benin City gsing Log Pearson Type III distribution”, (JETEAS) 2 (1): 50-55.
[5]	J. R. Stedinger and R. M. Vogel, “Frequency analysis of extreme events.” Handbook of Hydrology, chapter 18, McGraw-Hill, New York, 1993. Vol. 3, No. 10, 2013.
[6]	Mujere, N. 2006. Impact of river flow changes on irrigation agriculture: A case study of Nyanyadzi irrigation scheme in Chimanimani district. MPhil Thesis, University of Zimbabwe, Harare.
[7]	N. Mujere, “Flood frequency analysis using the Gumbel distribution.” International Journal on Computer Science and Engineering (IJCSE), vol. 3, pp. 2774–2778, July 2011.
[8]	O. Solomon and O. Prince. “Flood Frequency Analysis of Osse River Using Gumbel’s Distribution”. Civil and Environmental Research, pp. 55-60.
[9]	Shaw, E. M. 1983. Hydrology in Practice. Van Nostrand Reinhold, UK.
[10]	Tumbare, M. J. 2000. Mitigating floods in Southern Africa. Paper presented at the 1^st WARSFA/WaterNet Symposium: Sustainable Use of Water Resources, 1-2 November, Maputo.
[11]	U. N. Ahmad, A. Shabri, and Z. A. Zakaria, “Flood frequency analysis of annual maximum stream flows using L-Moments and TL-Moments.” Applied Mathematical Sciences, vol. 5, pp. 243– 253, 2011.
[12]	Zelenhasic, E. 1970. Theoretical Probability Distributions for Flood Peaks. Colorado University Press, Colorado.

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APA Style

Nirman Bhagat. (2017). Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. Journal of Water Resources and Ocean Science, 6(4), 51-54. https://doi.org/10.11648/j.wros.20170604.11

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ACS Style

Nirman Bhagat. Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. J. Water Resour. Ocean Sci. 2017, 6(4), 51-54. doi: 10.11648/j.wros.20170604.11

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AMA Style

Nirman Bhagat. Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. J Water Resour Ocean Sci. 2017;6(4):51-54. doi: 10.11648/j.wros.20170604.11

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@article{10.11648/j.wros.20170604.11,
  author = {Nirman Bhagat},
  title = {Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {6},
  number = {4},
  pages = {51-54},
  doi = {10.11648/j.wros.20170604.11},
  url = {https://doi.org/10.11648/j.wros.20170604.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20170604.11},
  abstract = {Estimation of Peak Flood Discharge for a desired return period is a pre-requisite for planning, design and management of hydraulic structures like barrages, dams, spillways, bridges etc. This paper presents results of a study carried out at analyzing the frequency of Lower Mahi River floods using the Gumbel’s distribution method which is one of the probability distribution methods used to model stream flows. The method was used to model the annual maximum discharge of the river from Wanakbori Weir (regulating structure in the river) for a period of 30 years (1980 to 2009). From the regression analysis equation, R2 gives a value of 0.964 which shows that Gumbel’s distribution is suitable for predicting the expected flow in the river. Using the same method the peak flood values for different Return Periods were also obtained, which can prove useful for the storm management in the area.},
 year = {2017}
}

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TY  - JOUR
T1  - Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India
AU  - Nirman Bhagat
Y1  - 2017/07/04
PY  - 2017
N1  - https://doi.org/10.11648/j.wros.20170604.11
DO  - 10.11648/j.wros.20170604.11
T2  - Journal of Water Resources and Ocean Science
JF  - Journal of Water Resources and Ocean Science
JO  - Journal of Water Resources and Ocean Science
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EP  - 54
PB  - Science Publishing Group
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UR  - https://doi.org/10.11648/j.wros.20170604.11
AB  - Estimation of Peak Flood Discharge for a desired return period is a pre-requisite for planning, design and management of hydraulic structures like barrages, dams, spillways, bridges etc. This paper presents results of a study carried out at analyzing the frequency of Lower Mahi River floods using the Gumbel’s distribution method which is one of the probability distribution methods used to model stream flows. The method was used to model the annual maximum discharge of the river from Wanakbori Weir (regulating structure in the river) for a period of 30 years (1980 to 2009). From the regression analysis equation, R2 gives a value of 0.964 which shows that Gumbel’s distribution is suitable for predicting the expected flow in the river. Using the same method the peak flood values for different Return Periods were also obtained, which can prove useful for the storm management in the area.
VL  - 6
IS  - 4
ER  -

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Author Information

Nirman Bhagat

Department of Civil Engineering, Indus University, Ahmedabad, India

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APA Style

Nirman Bhagat. (2017). Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. Journal of Water Resources and Ocean Science, 6(4), 51-54. https://doi.org/10.11648/j.wros.20170604.11

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ACS Style

Nirman Bhagat. Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. J. Water Resour. Ocean Sci. 2017, 6(4), 51-54. doi: 10.11648/j.wros.20170604.11

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AMA Style

Nirman Bhagat. Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India. J Water Resour Ocean Sci. 2017;6(4):51-54. doi: 10.11648/j.wros.20170604.11

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@article{10.11648/j.wros.20170604.11,
  author = {Nirman Bhagat},
  title = {Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India},
  journal = {Journal of Water Resources and Ocean Science},
  volume = {6},
  number = {4},
  pages = {51-54},
  doi = {10.11648/j.wros.20170604.11},
  url = {https://doi.org/10.11648/j.wros.20170604.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.wros.20170604.11},
  abstract = {Estimation of Peak Flood Discharge for a desired return period is a pre-requisite for planning, design and management of hydraulic structures like barrages, dams, spillways, bridges etc. This paper presents results of a study carried out at analyzing the frequency of Lower Mahi River floods using the Gumbel’s distribution method which is one of the probability distribution methods used to model stream flows. The method was used to model the annual maximum discharge of the river from Wanakbori Weir (regulating structure in the river) for a period of 30 years (1980 to 2009). From the regression analysis equation, R2 gives a value of 0.964 which shows that Gumbel’s distribution is suitable for predicting the expected flow in the river. Using the same method the peak flood values for different Return Periods were also obtained, which can prove useful for the storm management in the area.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Flood Frequency Analysis Using Gumbel's Distribution Method: A Case Study of Lower Mahi Basin, India
AU  - Nirman Bhagat
Y1  - 2017/07/04
PY  - 2017
N1  - https://doi.org/10.11648/j.wros.20170604.11
DO  - 10.11648/j.wros.20170604.11
T2  - Journal of Water Resources and Ocean Science
JF  - Journal of Water Resources and Ocean Science
JO  - Journal of Water Resources and Ocean Science
SP  - 51
EP  - 54
PB  - Science Publishing Group
SN  - 2328-7993
UR  - https://doi.org/10.11648/j.wros.20170604.11
AB  - Estimation of Peak Flood Discharge for a desired return period is a pre-requisite for planning, design and management of hydraulic structures like barrages, dams, spillways, bridges etc. This paper presents results of a study carried out at analyzing the frequency of Lower Mahi River floods using the Gumbel’s distribution method which is one of the probability distribution methods used to model stream flows. The method was used to model the annual maximum discharge of the river from Wanakbori Weir (regulating structure in the river) for a period of 30 years (1980 to 2009). From the regression analysis equation, R2 gives a value of 0.964 which shows that Gumbel’s distribution is suitable for predicting the expected flow in the river. Using the same method the peak flood values for different Return Periods were also obtained, which can prove useful for the storm management in the area.
VL  - 6
IS  - 4
ER  -

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