Reliability-Based Design of Urban Stormwater Detention Facilities with Random Carryover Storage
Publication: Journal of Water Resources Planning and Management
Volume 146, Issue 2
Abstract
Evaluation of the operational efficiency of a stormwater detention facility may involve deterministic simulation or application of probabilistic models derived from runoff statistics. Using a probabilistic approach, a model for runoff capture efficiency at a facility is derived that is functionally related to storage capacity and release rate. The runoff storage/release cycle considers carryover storage capacity from a preceding storm, an ensuing interevent dry period, and probable overflow from the following storm occurrence. Hydrologic variables are assumed independent, identically distributed exponential variates. The model allows for the adoption of different release rates for the interevent time and subsequent intraevent duration. A novel feature of the probabilistic model consists in treating the carryover storage capacity as a random variable. The model is validated with published results from various studies, including bioretention applications. It allows construction of attainable capture efficiency envelope curves, as a measure of reliability, and estimation of controlled release rates that would increase the runoff capture efficiency of a facility.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
References
Adams, B. J., and J. Chen. 2006. “A framework for urban storm water modeling and control analysis with analytical models.” Water Resour. Res. 42 (6): W06419. https://doi.org/10.1029/2005WR004-540.
Adams, B. J., and F. Papa. 2000. Urban storm water management planning with analytical and probabilistic models. Hoboken, NJ: Wiley.
Becciu, G., and A. Raimondi. 2015. “Probabilistic modeling of the efficiency of a stormwater detention facility.” Int. J. Sustainable Dev. Plann. 10 (6): 795–805. https://doi.org/10.2495/SDP-V10-N6-795-805.
Benjamin, J. R., and C. A. Cornell. 1970. Probability, statistics and decision for civil engineers. New York: Dover.
Chen, J., and B. J. Adams. 2007. “Development of analytical models for estimation of urban stormwater runoff.” J. Hydrol. 336 (3–4): 458–469. https://doi.org/10.1016/j.jhydrol.2007.01.023.
DiToro, D. M., and M. J. Small. 1979. “Stormwater Interception and Storage.” J. Environ. Eng. Div. 105 (1): 43–54.
Eagleson, P. S. 1978. “Climate, soil, and vegetation 2: The distribution of annual precipitation derived from observed storm sequences.” Water Resourc. Res. 14 (5): 713–721. https://doi.org/10.1029/WR014i005p00713.
Goforth, G. F., J. P. Heany, and W. C. Huber. 1983. “Comparison of basin performance modeling techniques.” J. Environ. Eng. 109 (5): 1082–1098. https://doi.org/10.1061/(ASCE)0733-9372(1983)109:5(1082).
Guo, J. C. Y. 2002. “Overflow risk analysis for stormwater quality control basins.” J. Hydrol. Eng. 7 (6): 428–434. https://doi.org/10.1061/(ASCE)1084-0699(2002)7:6(428).
Guo, J. C. Y., and B. Urbonas. 2002. “Runoff capture and delivery curves for storm-water quality control designs.” J. Water Resour. Plann. Manage. 128 (3): 208–215. https://doi.org/10.1061/(ASCE)0733-9496(2002)128:3(208).
Guo, Y., and B. J. Adams. 1999. “Analysis of detention ponds for storm water quality control.” Water Resour. Res. 35 (8): 2447–2456. https://doi.org/10.1029/1999WR900124.
Lee, J. G., J. P. Heany, and F. Lai. 2005. “Optimization of integrated urban wet-weather control strategies.” J. Water Resour. Plann. Manage. 131 (4): 307–315. https://doi.org/10.1061/(ASCE)0733-9496(2005)131:4(307).
Li, J. Y., and B. J. Adams. 2000. “Probabilistic models for analysis of urban runoff control systems.” J. Environ. Eng. 126 (3): 217–224. https://doi.org/10.1061/(ASCE)0733-9372(2000)126:3(217).
Loganathan, G. V., J. W. Delleur, and R. I. Segarra. 1985. “Planning detention storage for stormwater management.” J. Water Resour. Plann. Manage. 111 (4): 382–398. https://doi.org/10.1061/(ASCE)0733-9496(1985)111:4(382).
Nix, S. J., and J. P. Heany. 1988. “Optimization of storm water storage-release strategies.” Water Resour. Res. 24 (11): 1831–1838. https://doi.org/10.1029/WR024i011p01831.
Pagán, I. 1984. Statistical analysis of spatial and temporal storm rainfall characteristics in Puerto Rico. Mayagüez, Puerto Rico: Dept. of the Interior, Univ. of Puerto Rico Water Resources Research Institute.
Segarra, R. I., and G. V. Loganathan. 1994. “A stochastic pollutant load model for the design of stormwater detention facilities.” Water Sci. Technol. 29 (1–2): 378–380. https://doi.org/10.2166/wst.1994.0680.
Segarra-García, R. 2009. “Análisis de riesgo y confiabilidad de sistemas de retención para el manejo de la escorrentía pluvial.” Revista internacional de desastres naturales, accidentes e infraestructura Civil 9 (1): 5–25.
Wang, J., and Y. Guo. 2018. “An analytical stochastic approach for evaluating the performance of combined sewer overflow tanks.” Water Resour. Res. 54 (5): 3357–3375. https://doi.org/10.1029/2017WR022286.
Zhang, S., and Y. Guo. 2013. “Explicit equation for estimating storm-water capture efficiency of rain gardens.” J. Hydrol. Eng. 18 (12): 1739–1748. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000734.
Zhang, S., and Y. Guo. 2014. “Stormwater capture efficiency of bioretention systems.” Water Resour. Manage. 28 (1): 149–168. https://doi.org/10.1007/s11269-013-0477-y.
Information & Authors
Information
Published In
Copyright
©2019 American Society of Civil Engineers.
History
Received: Dec 27, 2018
Accepted: Jul 25, 2019
Published online: Dec 4, 2019
Published in print: Feb 1, 2020
Discussion open until: May 4, 2020
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.