Development of Intensity-Duration-Depth Relationships for Western Ghats in Karnataka, South India: A Pragmatic Approach for Utilizing Short Records
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 6
Abstract
Popular models currently available for estimation of design intensities in the wet mountainous Western Ghat areas of South India are not those based on analysis of local rainfall records. Possibilities of development of curves applicable in the region are also remote due to the constraint of short length of records. The present work, taken up in this background, presents the novel idea of substituting daily rainfall depth for frequency in the popular i-d-f curves and furnishes a reliable model for the Western Ghat regions of the state of Karnataka. The procedure advocated for the development of the model relies on the fact that in areas characterized by nearly continuous falls and long spells of rain, as here, the intensities are well associated with total rainfall and hence the i-d relationships are functions of daily depth. This work proposes to use all the available subhourly data from different stations across supposedly homogenous regions and to use envelop curves to reduce sampling variations. i-d curves for individual days falling within specified ranges of daily depth are grouped together, and each group is represented by an envelop curve. Power functions, forced through constant exponents, are developed for the different envelop curves. The association between the varying parameter of such curves and the daily depth (D) is modeled by a power function, resulting in i-d-D relationships of the form . The model applicable for the study area has been derived using intensity—duration data of 4–5 years from 33 stations spread across the study area, divided into four regions based on normal annual rainfall. The model has been validated and found reliable. The model results are discussed and used to test the validity of the method presently being followed in the region, the one advocated by the Central Water Commission (CWC). Pitfalls in the CWC method have been brought out. It is concluded that the model presented forms a reliable tool for estimating design intensities until a more authentic one is developed using further extensive data.
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Data Availability Statement
1.
The following data used during the study were provided by a third party:
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15-min rainfall for all the stations except those numbered 5–8; and
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Daily rainfall data of all the stations.
2.
Direct requests for these materials may be made to the provider as indicated in the acknowledgments.
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The following data are available from the corresponding author upon reasonable request: 15-min rainfall for the stations numbered 5–8.
Acknowledgments
A good part of the rainfall intensity data used in this work has been made available by the KSNDMC, Bengaluru. The daily rainfall records have been made available by the Karnataka Directorate of Economics and Statistics, Bengaluru. The authors acknowledge with thanks the authorities of these organizations for the help. Many students of NIE have assisted the authors in accomplishing the task of procuring and analyzing lengthy records for various purposes. The authors thank with love these students for associating with the activities of the WRC of NIE.
References
Ananthakrishnan, R. 1977. “Some aspects of monsoon circulation and monsoon rainfall.” Pure Appl. Geophys. 115 (5): 1209–1249. https://doi.org/10.1007/BF00874407.
Bureau of Meteorology. 2016. “Section 1: Australian rainfall and runoff.” Accessed April 16, 2020. http://arr.ga.gov.au/arr-guideline.
Chen, Y., B. Yu, and G. Jenkins. 2013. “Secular variation in rainfall and intensity-frequency-duration curves in Eastern Australia.” J. Water Clim. Change 4 (3): 244–251. https://doi.org/10.2166/wcc.2013.138.
CWC (Central Water Commission). 1986. Flood estimation report for Kaveri basin subzone-3(i). New Delhi, India: CWC.
CWC (Central Water Commission). 1992. Flood estimation report for West coast regions, sub-zone 5a and 5b.. New Delhi, India: CWC.
CWC (Central Water Commission). 2000. Flood estimation report for Krishna and Pennar basins (subzone-3h)—Revised., 1–36. New Delhi, India: CWC.
Eagleson, P. S. 1970. Dynamic hydrology. New York: McGraw-Hill.
Jackson, I. J. 1988. “Daily rainfall over northern Australia: Deviations from the world pattern.” J. Climatol. 8 (5): 463–476. https://doi.org/10.1002/joc.3370080503.
Kalita, T., and B. Talukdar. 2017. “Frequency formula for precipitation in Puthimari Basin, Assam.” Int. J. Innovative Res. Sci. Eng. Technol. 6 (4): 5713–5721. https://doi.org/10.15680/IJIRSET.2017.0604178.
Kothyari, U. C., and R. J. Garde. 1992. “Rainfall intensity-duration-frequency formula for India.” J. Hydraul. Eng. 118 (2): 323–336. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:2(323).
Kumar, V. S., S. Sampath, P. V. S. S. K. Vinayak, and R. Harikumar. 2007. “Rainfall intensity characteristics at coastal and high altitude stations in Kerala.” J. Earth Syst. Sci. 116 (5): 451–463. https://doi.org/10.1007/s12040-007-0043-1.
Mamun, A. A., M. N. Salleh, and H. M. Noor. 2018. “Estimation of short–duration rainfall intensity from daily rainfall values in Klang Valley, Malaysia.” Appl. Water Sci. 8 (7): 1–10. https://doi.org/10.1007/s13201-018-0854-z.
Ouali, D., and A. J. Cannon. 2018. “Estimation of rainfall intensity-duration-frequency curves at ungauged locations using quantile regression methods.” Stochastic Environ. Res. Risk Assess. 32 (10): 2821–2836. https://doi.org/10.1007/s00477-018-1564-7.
Panda, D. K., and A. Kumar. 2014. “The changing characteristics of monsoon rainfall in India during 1971–2005 and links with large scale circulation.” Int. J. Climatol. 34 (15): 3881–3899. https://doi.org/10.1002/joc.3948.
Parvez, M. B., and M. Inayathulla. 2019a. “Assessment of the intensity duration frequency curves for storms in upper Cauvery Karnataka based on Pearson Type III extreme value.” World Acad. J. Eng. Sci. 6 (1): 26–46.
Parvez, M. B., and M. Inayathulla. 2019b. “Generation of intensity duration frequency curves for different return period using short duration rainfall for Manvi taluk Raichur district Karnataka.” Int. Res. J. Eng. Manage. Stud. 3 (4): 1–10.
Putty, M. R. Y., and C. G. Madhusoodhanan. 2013. “Water resources and hydrology of the Western Ghats: Their role and significance in South India.” In National natural resources management system, 57–66. Bangalore, India: Indian Space Research Organisation.
Putty, M. R. Y., V. S. R. K. Prasad, and R. Ramaswamy. 2000. “A study on the rainfall intensity pattern in Western Ghats, Karnataka.” In Proc. Workshop on Watershed Development in Western Ghats, 44–51. Kozhikode, Kerala: Centre for Water Resources Development and Management.
Rashid, M. M., S. B. Faruque, and J. B. Alam. 2012. “Modelling of short duration rainfall intensity duration frequency (SDRIDF) equation for Sylhet City in Bangladesh.” ARPN J. Sci. Technol. 2 (2): 92–95.
Reed, D. W., D. S. Faulkner, and E. J. Stewert. 1999. “The FORGEX method of rainfall growth estimation II: Description.” Hydrol. Earth Syst. Sci. 3 (2): 197–203. https://doi.org/10.5194/hess-3-197-1999.
Shrestha, A., M. S. Babel, S. Weesakul, and Z. Vojinovic. 2017. “Developing intensity-duration-frequency (IDF) curves under climate change uncertainty: The case of Bangkok, Thailand.” Water 9 (2): 145. https://doi.org/10.3390/w9020145.
Shreyas, H. C., and M. R. Y. Putty. 2017. “Testing the performance of probability functions with long term data of extreme rainfall.” Int. J. Res. Eng. Technol. 6 (2): 49–52.
Solaiman, T. A., and S. P. Simonovic. 2011. Development of probability based intensity-duration-frequency curves under climate change. London: Dept. of Civil and Environmental Engineering, Univ. of Western Ontario.
Varikoden, H., J. Revadekar, J. Kuttippurath, and C. A. Babu. 2018. “Contrasting trends in southwest monsoon rainfall over the Western Ghats region of India.” Clim. Dyn. 52 (7): 4557–4566. https://doi.org/10.1007/s00382-018-4397-7.
Vyver, H. V., and G. R. Demaree. 2010. “Construction of intensity-duration-frequency curves at Lubumbashi, Congo, under the hypothesis of inadequate data.” Hydrol. Sci. J. 55 (4): 555–564. https://doi.org/10.1080/02626661003747390.
WMO (World Meteorological Organization). 1983. “Operational hydrology in the humid tropical regions.” In Proc., Hydrology of Humid Tropical Regions with Particular Reference to the Hydrological Effects of Agriculture and Forestry Practices, IAHS Publication No. 140, 1–25. Geneva: WMO.
Zope, P. E., T. I. Eldho, and V. Jothiprakash. 2016. “Development of rainfall intensity duration frequency curves for Mumbai city, India.” J. Water Resour. Prot. 8 (7): 756–765. https://doi.org/10.4236/jwarp.2016.87061.
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© 2021 American Society of Civil Engineers.
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Received: Sep 2, 2020
Accepted: Jan 29, 2021
Published online: Mar 31, 2021
Published in print: Jun 1, 2021
Discussion open until: Aug 31, 2021
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