Closed Formulas for Design of Combined Detention Ponds
Publication: Journal of Hydrologic Engineering
Volume 26, Issue 3
Abstract
Urban development leads to persistent increase in the number of detention ponds, mostly for flood control purposes. Adding a detention pond soon leads to the need for planning detention ponds over successive subbasins in a coordinated manner, which are here named combined detention ponds. This study analyzes these detention pond combinations using the rational method and kinematic wave routing for arbitrary climate, morphology, and surface conditions. Input and output hydrographs are obtained with three decision variables (downstream admissible flow, distance at the channel, and pond storage volume) and five dimensional parameters (intense rainfall formula exponent, return period, channel wave celerity, runoff coefficient, and basin area). The dimensionless variables and parameters allowed two closed formulas, one for a pond placed downstream in the same channel and the other for a pond also placed downstream, but in a channel’s tributary. The results demonstrate that both the distance between ponds in the same channel and the downstream pond storage can always be solved given the channel admissible flow, whereas a tributary pond can only be solved if the channel admissible flow increases downstream from the tributary. In both cases, the storage volume increases downstream by a factor of 2–5 depending on the channel’s distance from the upstream detention pond and on the upstream admissible flow. Because the peak of tributary outflow anticipates the peak of the lateral flow, tributary ponds are less sensitive to placement and need less storage volume, but the channel’s admissible flow must significantly increase downstream.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request, all in a Microsoft Excel spreadsheet.
References
Aron, G., and D. F. Kibler. 1990. “Pond sizing for rational formula hydrographs.” J. Am. Water Resour. Assoc. 26 (2): 255–258. https://doi.org/10.1111/j.1752-1688.1990.tb01368.x.
Cimorelli, L., F. Morlando, L. Cozzolino, C. Covelli, R. Della Morte, and D. Pianese. 2016. “Optimal positioning and sizing of detention tanks within urban drainage networks.” J. Irrig. Drain. Eng. 142 (1): 04015028. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000927.
Del Giudice, G., R. Gargano, G. Rasulo, and D. Siciliano. 2014a. “Preliminary estimate of detention basin efficiency at watershed scale.” Water Resour. Manage. 28 (4): 897–913. https://doi.org/10.1007/s11269-014-0518-1.
Del Giudice, G., G. Rasulo, D. Siciliano, and R. Padulano. 2014b. “Combined effects of parallel and series detention basins for flood peak reduction.” Water Resour. Manage. 28 (10): 3193–3205. https://doi.org/10.1007/s11269-014-0668-1.
Guo, J. C. Y. 2012. “Off-stream detention design for storm-water management.” J. Irrig. Drain. Eng. 138 (4): 371–376. https://doi.org/10.1061/(ASCE)IR.1943-4774.0000406.
Meynink, W. J. C., and I. Cordery. 1976. “Critical duration of rainfall for flood estimation.” Water Resour. Res. 12 (6): 1209–1214. https://doi.org/10.1029/WR012i006p01209.
Ngo, T. T., J. Yazdi, S. J. Mousavi, and J. H. Kim. 2016. “Linear system theory-based optimization of detention basin’s location and size at watershed scale.” J. Hydrol. Eng. 21 (12): 06016013. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001451.
Sikorska, A. E., D. Viviroli, and J. Seibert. 2018. “Effective precipitation duration for runoff peaks based on catchment modeling.” J. Hydrol. 556 (Jan): 510–522. https://doi.org/10.1016/j.jhydrol.2017.11.028.
Yazdi, J., and P. Khazaei. 2019. “Copula-based performance assessment of online and offline detention ponds for urban stormwater management.” J. Hydrol. Eng. 24 (9): 04019025. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001810.
Information & Authors
Information
Published In
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Dec 16, 2019
Accepted: Nov 30, 2020
Published online: Jan 12, 2021
Published in print: Mar 1, 2021
Discussion open until: Jun 12, 2021
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.