Short-Duration Rainfall Intensity Equations for Urban Drainage Design
Publication: Journal of Irrigation and Drainage Engineering
Volume 136, Issue 8
Abstract
A practical method for developing rainfall-intensity equations for short durations (approximately one hour or less) for locations in the United States covered by NOAA Atlas 14 Volumes 1, 2, 3, and 4 is presented. For the semiarid western United States covered by Volume 1, for Puerto Rico and the U.S. Virgin Islands covered by Volume 3, and for Hawaii covered by Volume 4, single formulas apply to rainfall of all average recurrence intervals (ARIs). For the central and mid-Atlantic regions of the United States covered by Volume 2, formula coefficients are provided for several ARIs ranging from 1.58 to 1,000 years. All equations are based on a single-term exponential expression plus a constant that provides excellent fits to the available data. Mathematical expressions for the central and mid-Atlantic region coefficients as functions of the ARI are provided to simplify application of the approach. Mathematical relations representing design storm hyetographs are developed using the intensity-duration expression by distributing rainfall about the time of peak intensity proportioned by a factor , where to peak rainfall intensity, and duration.
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References
American Public Works Association. (1981). “Urban stormwater management.” Special Rep. No. 49, Chicago.
Arkell, R. E., and Richards, F. (1986). “Short duration rainfall relations for the western United States.” Proc., Conf. on Climate and Water Management—A Critical Era and Conf. on the Human Consequences of 1985’s Climate, American Meteorological Society, Boston, 136–141.
ASCE. (1992). “Design and construction of urban stormwater management systems.” ASCE Manuals and Reports of Engineering Practice No. 77, New York.
Bedient, P. B., and Huber, W. C. (2002). Hydrology and floodplain analysis, 3rd Ed., Prentice-Hall, Upper Saddle River, N.J.
Bonnin, G. M., Martin, D., Lin, B., Parzybok, T., Yekta, M., and Riley, D. (2006a). “Precipitation-frequency atlas of the United States, Volume 1, Version 4: Semiarid Southwest (Arizona, Southeast California, Nevada, New Mexico, Utah).” NOAA Atlas 14, Vol. 1, U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, National Weather Service, Silver Spring, Md.
Bonnin, G. M., Martin, D., Lin, B., Parzybok, T., Yekta, M., and Riley, D. (2006b). “Precipitation-frequency atlas of the United States, Volume 2, Version 3: Delaware, District of Columbia, Illinois, Indiana, Kentucky, Maryland, New Jersey, North Carolina, Ohio, Pennsylvania, South Carolina, Tennessee, Virginia, West Virginia.” NOAA Atlas 14, Vol. 2, U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, National Weather Service, Silver Spring, Md.
Bonnin, G. M., Martin, D., Parzybok, T., Lin, B., Riley, D., and Yekta, M. (2006c). “Precipitation-frequency atlas of the United States, Volume 3, Version 3, Puerto Rico and the U.S. Virgin Islands.” NOAA Atlas 14, Vol. 3, U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, National Weather Service, Silver Spring, Md.
Brown, L. C., and Foster, G. R. (1987). “Storm erosivity using idealized intensity distributions.” Trans. ASAE, 30(2), 379–386.
Brown, S. A., Stein, S. M., and Warner, J. C. (2001). “Urban drainage design manual.” Hydr. Eng. Circular No. 22: FHWA-NHI-01-021, 2nd Ed., U.S. DOT, Federal Highway Administration, Washington, D.C.
Chow, V. T. (1962). “Hydrologic determination of waterway areas for the design of drainage structures in small drainage basins.” Engineering experiment station bulletin No. 462, Univ. of Illinois, Urbana, Ill.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York.
Frederick, R. H., and Miller, J. F. (1979). “Short duration rainfall frequency relations for California.” 3rd Conf. on Hydrometeorology, American Meteorological Society, Boston.
Frederick, R. H., Myers, V. A., and Auciello, E. P. (1977). “Five-to 60-minute precipitation frequency for the eastern and central United States.” NOAA technical memorandum NWS HYDRO-35, National Oceanic and Atmospheric Administration, National Weather Service, Office of Hydrology, Silver Spring, Md.
Froehlich, D. C. (1993). “Short-duration rainfall-intensity equations for drainage design.” J. Irrig. Drain. Eng., 119(5), 814–828.
Hershfield, D. M. (1961). “Rainfall frequency atlas of the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years.” Technical Paper No. 40, U.S. Weather Bureau, Washington, D.C.
Hiemstra, L. A. V., and Reich, B. M. (1967). “Engineering judgment and small area flood peaks.” Hydrology Paper 19, Colorado State Univ., Fort Collins, Colo.
Kuichling, E. (1889). “The relation between the rainfall and the discharge of sewers in populous districts.” Trans. ASCE, 20, 1–56.
Lasdon, L. S., and Smith, S. (1992). “Solving sparse nonlinear programs using GRG.” ORSA J. Comput., 4(1), 2–15.
Linsley, R. K. (1986). “Flood estimates: How good are they?” Water Resour. Res., 22(9S), 159S–164S.
Miller, J. F., Frederick, R. H., and Tracey, R. J. (1973). “Precipitation-frequency atlas of the United States: Vol. I, Montana; Vol II, Wyoming; Vol. III, Colorado; Vol. IV, New Mexico; Vol. V, Idaho; Vol. VI, Utah; Vol. VII, Nevada; Vol. VIII, Arizona; Vol. IX, Washington; Vol. X, Oregon; Vol. XI, California.” NOAA Atlas 2, National Weather Service, National Oceanic and Atmospheric Administration, U.S. Dept. of Commerce, Silver Spring, Md.
Mulvaney, T. J. (1851). “On the use of self-registering rain and flood gauges in making observations of the relations of rainfall and flood discharges in a given catchment.” Trans. and Minutes of Proc., Inst. of Civil Eng. of Ireland, Session 1850–1, Vol. 4, No. 2, Dublin, Ireland., 18–31.
Perica, S., Martin, D., Lin, B., Parzybok, T., Riley, D., Yekta, M., Hiner, L., Chen, L., Brewer, D., Yan, F., Maitaria, K., Trypaluk, C., and Bonnin, G. M. (2009). “Precipitation frequency atlas of the United States, volume 4, version 2, Hawaiian Islands.” NOAA Atlas 14, Vol. 4, U.S. Dept. of Commerce, National Oceanic and Atmospheric Administration, National Weather Service, Silver Spring, Md.
Pilgrim, D. H. (1986). “Bridging the gap between flood research and design practice.” Water Resour. Res., 22(9S), 165S–176S.
Ponce, V. M. (1989). Engineering hydrology-principles and practices, Prentice-Hall, Englewood Cliffs, N.J.
Reich, B. M. (1963). “Short duration rainfall intensity estimates and other design aids for regions of sparse data.” J. Hydrol., 1(1), 3–28.
U.S. Weather Bureau. (1961). “Generalized estimates of probable maximum precipitation and rainfall-frequency data for Puerto Rico and Virgin Islands for areas to 400 square miles, durations to 24 hours, and return periods from 1 to 100 years.” Technical Paper No. 42, Washington, D.C.
U.S. Weather Bureau. (1962). “Rainfall-frequency atlas of the Hawaiian Islands for areas to 200 square miles, durations to 24 hours, and return periods from 1 to 100 years.” Technical Paper No. 43, Washington, D.C.
Walesh, S. G. (1989). Urban surface water management, Wiley, New York.
Wenzel, H. G. (1982). “Rainfall for urban stormwater design.” Urban stormwater hydrology, Water Resources Monograph 7, D. F. Kibler, ed., American Geophysical Union, Washington, D.C.
Westphal, J. A. (2001). “Hydrology for drainage system design and analysis.” Chapter 4 in stormwater collection systems design handbook, L. W. Mays, ed., McGraw-Hill, New York.
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© 2010 ASCE.
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Received: Aug 21, 2008
Accepted: Apr 5, 2009
Published online: Jul 15, 2010
Published in print: Aug 2010
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