Optimal Capacity of a Stormwater Reservoir for Flood Peak Reduction
Publication: Journal of Hydrologic Engineering
Volume 23, Issue 4
Abstract
Stormwater reservoirs are used to control the runoff volume and to attenuate the peak flow rate from urban catchments. The required capacity of a stormwater reservoir and its dimensions are calculated with the help of rainfall-runoff models, using a time series of observed rainfall or a design rainfall. However, many studies have revealed that the reliability of models of urbanized basins is far from perfect. This study presents an optimization of the capacity of a stormwater reservoir in a small urbanized basin, taking into account the predictive uncertainty of the rainfall-runoff model. An analysis of the model uncertainty using the generalized likelihood uncertainty estimation (GLUE) framework allowed for an assessment of the optimal capacity of the stormwater reservoir required to ensure a given safety level. Such a probabilistic approach is compared with a deterministic approach, which is commonly used in practice, where the effect of uncertainty of the rainfall-runoff model is usually neglected. The numerical experiment showed that stochastic and deterministic approaches are not equivalent as the calculated capacities of the reservoirs were different. The deterministic solution leads to an overestimation of the reservoir capacity from 20 to 150%, compared to the mean capacity obtained using a stochastic formulation. The results indicate that the uncertainty of the runoff model might potentially be a significant factor in stormwater reservoir design.
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References
Andrés-Doménech, I., Montanari, A., and Marco, J. B. (2010). “Stochastic rainfall analysis for storm tank performance evaluation.” Hydrol. Earth Syst. Sci., 14(7), 1221–1232.
DWA German Association for Water Management, Sewage and Waste. (2006). “Dimensioning of stormwater holding facilities.” ATV-DVWK-A-117, Hennef, Germany.
Bąk, Ł., Górski, J., Górska, K., and Szeląg, B. (2012). “Zawartość zawiesin i metali cięzkich w wybranych falach ścieków deszczowych w zlewni miejskiej [Suspended solids and heavy metals content of selected rainwater waves in an urban catchment area: A case study].” Ochrona Środowiska, 34(2), 49–52 (in Polish).
Balistrocchi, M., Grossi, G., and Bacchi, B. (2009). “An analytical probabilistic model of the quality efficiency of a sewer tank.” Water Resour. Res., 45(12), 1–13.
Balistrocchi, M., Grossi, G., and Bacchi, B. (2013). “Deriving a practical analytical-probabilistic method to size flood routing reservoirs.” Adv. Water Resour., 62(Part A), 37–46.
Bertrand-Krajewski, J.-L., Barraud, S., and Bardin, J.-P. (2002). “Uncertainties, performance indicators and decision aid applied to stormwater facilities.” Urban Water, 4(2), 163–179.
Beven, K., and Binley, A. (1992). “The future of distributed models: Model calibration and uncertainty prediction.” Hydrol. Processes, 6(3), 279–298.
Beven, K., and Binley, A. (2014). “GLUE: 20 years on.” Hydrol. Processes, 28(24), 5897–5918.
Blasone, R., Vrugt, J., Madsen, H., Rosbjerg, D., Robinson, B., and Zyvoloski, G. (2008). “Generalized likelihood uncertainty estimation (GLUE) using adaptive Markov chain Monte Carlo sampling.” Adv. Water Resour., 31(4), 630–648.
Brandyk, A., Kiczko, A., Majewski, G., Kleniewska, M., and Krukowski, M. (2016). “Uncertainty of Deardorff’s soil moisture model based on continuous TDR measurements for sandy loam soil.” J. Hydrol. Hydromech., 64(1), 23–29.
Dąbkowski, S. L., Górska, K., Górski, J., and Szeląg, B. (2010). “Wstępne wyniki badań ścieków deszczowych w jednym z kanałów w Kielcach [Introductory results of examining precipitation sewage in one of Kielce channels].” Gaz, Woda i Technika Sanitarna, 6, 20–24.
De Martino, G., De Paola, F., Fontana, N., Marini, G., and Ranucci, A. (2011a). “Pollution reduction in receivers: Storm-water tanks.” J. Urban Plann. Dev., 29–38.
De Martino, G., De Paola, F., Fontana, N., Marini, G., and Ranucci, A. (2011b). “Preliminary design of combined sewer overflows and stormwater tanks in Southern Italy.” Irrig. Drain., 60(4), 544–555.
De Paola, F., and De Martino, F. (2013). “Stormwater tank performance: Design and management criteria for capture tanks using a continuous simulation and a semi-probabilistic analytical approach.” Water, 5(4), 1699–1711.
Fiorentini, M., and Orlandini, S. (2013). “Robust numerical solution of the reservoir routing equation.” Adv. Water Resour., 59, 123–132.
Fletcher, T., Andrieu, H., and Hamel, P. (2013). “Understanding, management and modelling of urban hydrology and its consequences for receiving waters: A state of the art.” Adv. Water Resour., 51, 261–279.
Freni, G., Mannina, G., and Viviani, G. (2008). “Uncertainty in urban stormwater quality modelling: The effect of acceptability threshold in the GLUE methodology.” Water Res., 42(8–9), 2061–2072.
Freni, G., Mannina, G., and Viviani, G. (2009a). “Uncertainty in urban stormwater quality modelling: The influence of likelihood measure formulation in the GLUE methodology.” Sci. Total Environ., 408(1), 138–145.
Freni, G., Mannina, G., and Viviani, G. (2009b). “Urban runoff modelling uncertainty: Comparison among Bayesian and pseudo-Bayesian methods.” Environ. Modell. Software, 24(9), 1100–1111.
Hong, Y. M. (2008). “Graphical estimation of detention pond volume for rainfall of short duration.” J. Hydro-Environ. Res., 2(2), 109–117.
Kiczko, A., Romanowicz, R., Osuch, M., and Karamuz, E. (2013). “Maximising the usefulness of flood risk assessment for the River Vistula in Warsaw.” Nat. Hazards Earth Syst. Sci., 13(12), 3443–3455.
Lager, J. A., Didriksson, T., and Otte, G. B. (1976). “Development and application of a simplified stormwater management model.” Municipal Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Washington, DC.
Licznar, P. (2013). “Wymiarowanie zbiorników retencyjnych ścieków deszczowych na podstawie syntetycznych szeregów czasowych opadów deszczu [Reservoir dimensioning based on synthetic rainfall time series].” Ochrona Środowiska, 35(2), 27–32.
MATLAB [Computer software]. MathWorks, Natick, MA.
Muleta, M. K., McMillan, J., Amenu, G. G., and Burian, S. J. (2013). “Bayesian approach for uncertainty analysis of an urban storm water model and its application to a heavily urbanized watershed.” J. Hydrol. Eng., 1360–1371.
Paik, K. (2008). “Analytical derivation of reservoir routing and hydrological risk evaluation of detention basins.” J. Hydrol., 352(1), 191–201.
Romanowicz, R. J., and Beven, K. J. (2006). “Comments on generalised likelihood uncertainty estimation.” Reliab. Eng. Syst. Saf., 91(10), 1315–1321.
Romanowicz, R. J., and Kiczko, A. (2016). “An event simulation approach to the assessment of flood level frequencies: Risk maps for the Warsaw reach of the River Vistula.” Hydrol. Process., 30(14), 2451–2462.
Rossman, L. A. (2010). “Storm water management model user’s manual, version 5.0.” National Risk Management Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Cincinnati.
Shampine, L. F., and Reichelt, M. W. (1997). “The Matlab ODE suite.” SIAM J. Sci. Comput., 18(1), 1–22.
Sun, N., Hong, B., and Hall, M. (2014). “Assessment of the SWMM model uncertainties within the generalized likelihood uncertainty estimation (GLUE) framework for a high-resolution urban Sewershed.” Hydrol. Processes, 28(6), 3018–3034.
Szeląg, B., Górski, J., Bąk, Ł., and Górska, K. (2013). “Modelling of stormwater quantity and quality on the example of urbanised catchment in Kielce.” Ecol. Chem. Eng. A, 20(11), 1305–1316.
Szeląg, B., and Kiczko, A. (2014). “The graphic method of sizing pipe reservoir for short, high-intensity rainfalls.” Ann. Warsaw Univ. Life Sci. Land Reclam., 46(3), 221–232.
Szeląg, B., Kiczko, A., and Dąbek, L. (2016). “Sensitivity and uncertainty analysis of hydrodynamic model (SWMM) for storm water runoff forecasting in an urban basin—Case study.” Ochrona Środowiska 38(3), 15–22.
Tao, T., Wang, J., Xin, K., and Li, S. (2014). “Multi-objective optimal layout of distributed storm-water detention.” Int. J. Environ. Sci. Technol., 11(5), 1473–1480.
Thornton, R., and Saul, A. (1986). “Some quality characteristics of combined sewer flows.” Public Health Eng., 14(3), 35–39.
Willems, P. (2008). “Quantification and relative comparison of different types of uncertainties in sewer quality modeling.” Water. Res., 42(13), 3539–3551.
Information & Authors
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Published In
Journal of Hydrologic Engineering
Volume 23 • Issue 4 • April 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Nov 22, 2016
Accepted: Oct 12, 2017
Published online: Feb 9, 2018
Published in print: Apr 1, 2018
Discussion open until: Jul 9, 2018
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