Urban Storm Water Control Evaluation with Analytical Probabilistic Models
Publication: Journal of Water Resources Planning and Management
Volume 131, Issue 5
Abstract
In urban storm water management planning, a common problem associated with the widespread implementation of storage/treatment facilities, is the determination of the relative magnitudes of the storage capacity and the controlled outflow capacity in conjunction with the desired levels of system performance. For this purpose, cost-effective designs in the configuration of storage/treatment facilities can benefit from analytical tools that are able to provide explicit analytical solutions to system control measures in terms of the catchment meteorological characteristics and the drainage system control elements (e.g., storage capacity and controlled release rate). This paper presents methodologies and necessary procedures for the development of system performance measures (such as average annual volume of spills and number of spills from storage facilities) for storm water runoff quantity control based on derived probability distribution theory. Essentially, these runoff control measures with closed-form mathematical expressions are derived from transformations of the probability density functions (PDFs) of the rainfall characteristics into the PDF of runoff volume in terms of a modified version of the rainfall–runoff transformation, which explicitly considers the infiltration process. Results from a case study indicate that these analytical models can be employed as effective tools for storm water runoff quantity control analysis. In contrast to continuous simulation, these analytical tools (models) are especially useful at the planning stage in the evaluation of a wide range of alternative designs.
Get full access to this article
View all available purchase options and get full access to this article.
References
Adams, B. J. (1996). “Development of analysis methods for stormwater management with ponds.” Rep. to the Ontario Ministry of Transportation, Toronto.
Adams, B. J., Fraser, H. G., Howard, C. D. D., and Hanafy, M. S. (1986). “Meteorologic data analysis for drainage system design.” J. Environ. Eng., 112(5), 827–848.
Adams, B. J., and Howard, C. D. D. (1985). “The pathology of design storms.” Publication 85-03, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Adams, B. J., and Papa, F. (2000). Urban stormwater management planning with analytical probabilistic models, Wiley, New York.
Behera, P. K. (2001). “Urban stormwater quality control analysis.” PhD dissertation, Univ. of Toronto, Toronto.
Chen, J. Y. (2003). “Integrated urban stormwater management modeling.” PhD dissertation, Univ. of Toronto, Toronto.
Diaz-Granados, M. A., Valdes, J. B., and Bras, R. L. (1984). “A physically-based flood frequency distribution.” Water Resour. Res., 20(7), 995–1003.
Di Toro, D. M. (1984). “Probability model of stream quality due to runoff.” J. Environ. Eng., 110(3), 607–628.
Eagleson, P. S. (1972). “Dynamics of flood frequency.” Water Resour. Res., 8(4), 878–897.
Eagleson, P. S. (1978). “Climate, soil, and vegetation 2, the distribution of annual precipitation derived from observed storm sequences.” Water Resour. Res., 14(5), 713–721.
Gottschalk, L., and Perzyna, G. (1989). “A physically based distribution function for low flow.” Hydrol. Sci. J., 34, 559–573.
Gottschalk, L., Tallaksen, L., and Perzyna, G. (1997). “Derivation of low flow distribution functions using recession curves.” J. Hydrol., 194, 239–262.
Gottschalk, L., and Weingartner, R. (1998). “Distribution of peak flow derived from a distribution of rainfall volume and runoff coefficient, and a unit hydrograph.” J. Hydrol., 208, 148–162.
Guo, Y. (1992). “Long term performance of stormwater quality control ponds.” MASc thesis, Univ. of Toronto, Toronto.
Guo, Y., and Adams, B. J. (1998). “Hydrologic analysis of urban catchments with event-based probabilistic models, I. Runoff volume.” Water Resour. Res., 34(12), 3421–3431.
Hebson, C., and Wood, E. F. (1982). “A derived flood frequency distribution using Horton order rations.” Water Resour. Res., 18(5), 1509–1518.
Hollingworth, S. J. (1998). “Continuous analysis of stormwater quality control ponds with derived probability models.” MASc thesis, Univ. of Toronto, Toronto.
Howard, C. D. D. (1976). “Theory of storage and treatment-plant overflows.” J. Environ. Eng. Div. (Am. Soc. Civ. Eng.), 102(4), 709–722.
James, W., and Robinson, M. (1986). “Continuous deterministic urban runoff modeling.” Urban Drainage Modeling, Proc., International Symp. on Comparison of Urban Drainage Models with Real Catchments Data, UDM’86, Dubrovnik, Yugoslavia, C. Maksimovic and M. Radojkovic, eds., Pergamon, New York, 347–378.
Kauffman, G. M. (1987). “A comparison of analytical and simulation models for drainage system design: SUDS versus STORM.” BASc thesis, Univ. of Toronto, Toronto.
Klodner, A. (1996). “Effects of particle size on the ability of analytical probabilistic models to predict water quality control performance of stormwater management ponds.” BASc thesis, Univ. of Toronto, Toronto.
Li, J. Y. W. (1991). “Comprehensive urban runoff control planning.” PhD dissertation, Univ. of Toronto, Toronto.
Loganathan, G. V., and Delleur, J. W. (1984). “Effects of urbanization on frequencies of overflows and pollutant loadings from storm sewer overflows: A derived distribution approach.” Water Resour. Res., 20(7), 857–865.
Loganathan, G. V., Delleur, J. W., and Segarra, R. I. (1985). “Planning detention storage for stormwater management.” J. Water Resour. Plan. Manage., 111(4), 382–398.
Loganathan, G. V., Watkins, E. W., and Kibler, D. F. (1994). “Sizing stormwater detention basins for pollutant removal.” J. Environ. Eng., 120(6), 1380–1399.
Marsalek, J. (1984). “Urban runoff peak frequency curves.” Nord. Hydrol., 15 85–102.
Papa, F. (1997). “Analytical probabilistic models for urban stormwater management planning.” MASc thesis, Univ. of Toronto, Toronto.
Schwarz, R. B. (1980). “Distributed storage for urban stormwater control: an analytical model with economic optimization.” MASc thesis, Univ. of Toronto, Toronto.
Segarra-Garcia, R., and Loganathan, V. G. (1992). “Storm-water detention storage design under random pollutant loading.” J. Water Resour. Plan. Manage., 118(5), 475–491.
Smith, D. I. (1980). “Probability of storage overflows for stormwater management.” MASc thesis, Univ. of Toronto, Toronto.
Stormwater Assessment Monitoring and Performance (SWAMP) Program, Toronto and Region Conservation Authority. (2002). “Performance assessment of a stormwater retrofit pond.” Harding Park, Richmond Hill, Ontario.
Thoman, G. W. (1997). “Continuous analysis methods in stormwater management practices: Sensitivity, calibration & model development.” MASc thesis, Univ. of Toronto, Toronto.
Wood, E. F., and Hebson, C. S. (1986). “On hydrologic similarity 1. derivation of the dimensionless flood frequency curve.” Water Resour. Res., 22(11), 1549–1554.
Zourntos, P. S. (1987). “A study of combined sewer overflows in Toronto by use of analytical models.” BASc thesis, Univ. of Toronto, Toronto.
Zukovs, G. (1983). “Development of a probabilistic runoff storage/treatment model.” MEng thesis, Univ. of Toronto, Toronto.
Information & Authors
Information
Published In
Copyright
© 2005 ASCE.
History
Received: Oct 3, 2003
Accepted: Dec 9, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005
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.