Analytical Equation for Estimating the Stormwater Capture Efficiency of Permeable Pavement Systems
Publication: Journal of Irrigation and Drainage Engineering
Volume 141, Issue 4
Abstract
Permeable pavement systems have been increasingly used for onsite storm water management. In this paper, an analytical equation is derived for calculating the long-term average storm water capture efficiency of permeable pavement systems. This analytical equation is obtained by using the derived probability distribution theory on the basis of the probabilistic models of rainfall event characteristics and the mathematical representations of the hydrologic processes occurring in permeable pavement systems. Simplifying assumptions are made in establishing these mathematical representations. The validity of these assumptions and the accuracy of the analytical equation are demonstrated by comparing the analytical equation results with those determined from a series of continuous simulations where no similar simplifying assumptions are made.
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Acknowledgments
This paper has been supported by the Natural Sciences and Engineering Research Council of Canada and the China Scholarship Council.
References
Abertay Waste Solutions (AWS). (1998). Erwin user guide version 3.0, English, Urban Water Technology Center, Univ. of Abertay, Dundee, U.K.
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., 827–848.
Adams, B. J., and Papa, F. (2000). Urban stormwater management planning with analytical probabilistic models, Wiley, New York.
ASCE. (2012). Design of urban stormwater controls, manuals of practice (MOP) 87, Reston, VA.
Bacchi, B., Balistrocchi, M., and Grossi, G. (2008). “Proposal of a semi-probabilistic approach for storage facility design.” Urban Water J., 5(3), 195–208.
Balistrocchi, M., and Bacchi, B. (2011). “Modelling the statistical dependence of rainfall event variables through copula functions.” Hydrol. Earth Syst. Sci., 15(6), 1959–1977.
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), W12420.
Ball, J. E., and Rankin, K. (2010). “The hydrological performance of a permeable pavement.” Urban Water J., 7(2), 79–90.
Barrett, M., Kearfott, P., and Malina, J. F. (2006). “Stormwater quality benefits of a porous friction course and its impact on pollutant removal by roadside shoulders.” Water Environ. Res., 78(11), 2177–2185.
Bean, E. Z., Hunt, W. F., and Bidelspach, D. A. (2007a). “Evaluation of four permeable pavement sites in eastern North Carolina for runoff reduction and water quality impacts.” J. Irrig. Drain. Eng., 583–592.
Bean, E. Z., Hunt, W. F., and Bidelspach, D. A. (2007b). “Field survey of permeable pavement surface infiltration rates.” J. Irrig. Drain. Eng., 249–255.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics and decision for civil engineers, McGraw-Hill, New York.
Berbee, R., Rijs, G., Dde Brouwer, R., Van Velzen, L. (1999). “Characterization and treatment of runoff from highways in the Netherlands paved with impervious and pervious asphalt.” Water Environ. Res., 71(2), 183–190.
Booth, D. B., and Jackson, C. R. (1997). “Urbanization of aquatic systems: Degradation thresholds, stormwater detection, and the limits of mitigation.” J. Am. Water Resour. Assoc., 33(5), 1077–1090.
Booth, D. B., and Leavitt, J. (1999). “Field evaluation of permeable pavement systems for improved stormwater management.” J. Am. Plann. Assoc., 65(3), 314–325.
Brattebo, B. O., and Booth, D. B. (2003). “Long-term stormwater quantity and quality performance of permeable pavement systems.” Water Res., 37(18), 4369–4376.
Collins, K. A., Hunt, W. F., and Hathaway, J. M. (2008). “Hydrologic comparison of four types of permeable pavement and standard asphalt in eastern North Carolina.” J. Hydrol. Eng., 1146–1157.
Credit Valley Conservation Authority (CVC). (2010). Low impact development stormwater management planning and design guide, Downsview, ON, Canada.
Dreelin, E. A., Fowler, L., and Carroll, C. R. (2006). “A test of porous pavement effectiveness on clay soils during natural storm events.” Water Res., 40(4), 799–805.
Eagleson, P. S. (1972). “Dynamics of flood frequency.” Water Resour. Res., 8(4), 878–898.
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.
Fassman, E. A., and Blackbourn, S. D. (2011). “Road runoff water-quality mitigation by permeable modular concrete pavers.” J. Irrig. Drain. Eng., 720–729.
Gilbert, J., and Clausen, J. (2006). “Stormwater runoff quality and quantity from asphalt, paver and crushed stone driveways in Connecticut.” Water Res., 40(4), 826–832.
Guo, Y., and Adams, B. J. (1998a). “Hydrologic analysis of urban catchments with event-based probabilistic models. Part I: Runoff volume.” Water Resour. Res., 34(12), 3421–3431.
Guo, Y., and Adams, B. J. (1998b). “Hydrologic analysis of urban catchments with event-based probabilistic models. Part II: Peak discharge rate.” Water Resour. Res., 34(12), 3433–3443.
Guo, Y., and Adams, B. J. (1999a). “Analysis of detention ponds for storm water quality control.” Water Resour. Res., 35(8), 2447–2456.
Guo, Y., and Adams, B. J. (1999b). “An analytical probabilistic approach to sizing flood control detention facilities.” Water Resour. Res., 35(8), 2457–2468.
Guo, Y., and Baetz, B. W. (2007). “Sizing of rainwater storage units for green building applications.” J. Hydrol. Eng., 197–205.
Guo, Y., Liu, S., and Baetz, B. W. (2012). “Probabilistic rainfall-runoff transformation considering both infiltration and saturation excess runoff generation processes.” Water Resour. Res., 48(6), W06513.
Hammer, T. H. (1972). “Stream channel enlargement due to urbanization.” Water Resour. Res., 8(6), 1530–1540.
Hollis, G. E. (1975). “The effect of urbanization on floods of different recurrence interval.” Water Resour. Res., 11(3), 431–435.
Howard, C. D. D. (1976). “Theory of storage and treatment plant overflows.” J. Environ. Eng. Div., 102(EE4), 709–722.
Kuang, X., Sansalone, J., Ying, G., and Ranieri, V. (2011). “Pore-structure models of hydraulic conductivity for porous pavement.” J. Hydrol., 399(3–4), 148–157.
Kwiatkowski, M., Welker, A. L., Traver, R. G., Vanacore, M., and Ladd, T. (2007). “Evaluation of an infiltration best management practice utilizing pervious concrete.” J. Am. Water Resour. Assoc., 43(5), 1208–1222.
Legret, M., and Colandani, V. (1999). “Effects of a porous pavement structure with a reservoir structure on runoff water: Water quality and fate of metals.” Water Sci. Technol., 39(2), 111–117.
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.
Neitsch, S. L., Arnold, J. G., Kiniry, J. R., Williams, J. R. (2011). “Soil and Water Assessment Tool, theoretical documentation, version 2009.”, Texas A&M Univ., College Station, TX.
Nemirovsky, E. M., Welker, A. L., and Lee, R. (2013). “Quantifying evaporation from pervious concrete systems: Methodology and hydrologic perspective.” J. Irrig. Drain. Eng., 271–277.
North Carolina Division of Water Quality (NCDWQ). (2007). Stormwater best management practices manual, North Carolina Dept. of Environment and Natural Resources, Raleigh, NC.
Pennsylvania Department of Environmental Protection (PDEP). (2006). “Pennsylvania stormwater best management practices manual.”, Harrisburg, PA.
Pratt, C. J., Mantle, J. D. G., and Schofield, P. A. (1989). “Urban stormwater reduction and quality improvement through the use of permeable pavements.” Water Sci. Technol., 21(8), 769–778.
Pratt, C. J., Mantle, J. D. G., and Schofield, P. A. (1995). “UK research into the performance of permeable pavement, reservoir structures in controlling stormwater discharge quantity and quality.” Water Sci. Technol. 32(1), 63–69.
Rossman, L. A. (2010). “Storm water management model user’s manual, version 5.0.”, U.S. EPA, Cincinnati.
Rushton, B. T. (2001). “Low-impact parking lot design reduces runoff and pollutant loads.” J. Water Res. Plann. Manage., 172–179.
Sansalone, J. J., and Buchberger, S. G. (1995). “An infiltration device as a best management practices for immobilizing heavy metals in urban highway runoff.” Water Sci. Technol., 32(1), 119–125.
Sansalone, J. J., Kuang, X., Ying, G., Ranieri, G. (2012). “Filtration and clogging of permeable pavement loaded by urban drainage.” Water Res., 46(20), 6763–6774.
Schluter, W., and Jefferies, C. (2002). “Modelling the outflow from a porous pavement.” Urban Water, 4(3), 245–253.
Smith, D. I. (1980). “Probability of storage overflow for stormwater management.” M.A.Sc. thesis, Dept. of Civil Engineering, Univ. of Toronto, Toronto, Canada.
U.S. EPA. (1999). “Storm water technology fact sheet: Porous pavement.”, Washington, DC.
Welker, A. L., Jenkins, J. K. G., McCarthy, L., and Nemirovsky, E. (2013). “Examination of the material found in the pore spaces of two permeable pavements.” J. Irrig. Drain. Eng., 278–284.
Zhang, S., and Guo, Y. (2013a). “An analytical probabilistic model for evaluating the hydrologic performance of green roofs.” J. Hydrol. Eng., 19–28.
Zhang, S., and Guo, Y. (2013b). “An explicit equation for estimating the stormwater capture efficiency of rain gardens.” J. Hydrol. Eng., 1739–1748.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 141 • Issue 4 • April 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 1, 2013
Accepted: Aug 5, 2014
Published online: Sep 11, 2014
Discussion open until: Feb 11, 2015
Published in print: Apr 1, 2015
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