Intermediate-Duration-Rainfall Intensity Equations
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Volume 121, Issue 10
Abstract
A procedure is described for obtaining rainfall-intensity-duration equations for durations ranging from 1 to 24 hr. The method uses readily available isopluvial maps prepared by the U.S. National Weather Service (NWS) for four geographic regions: the contiguous United States, Alaska, Hawaii, and Puerto Rico and the U.S. Virgin Islands. However, because more up-to-date maps for durations from 1 to 24 hr have been prepared for the 11 states west of the 105th meridian, the procedure does not apply to the western United States. Dimensionless forms of four types of commonly used intensity-duration equations were fit to standard ratios of t -hr to 1-hr rainfall depths for t = 1, 2, 3, 6, 12 and 24 hr. For a given ratio of 24-hr to 1-hr rainfall depths, the NWS finds the four intermediate ratios to be nearly constant within each of the mapped regions. Optimal parameter values for each of the four equation types were found by an intensive pattern search covering the entire feasible range of each parameter, and are graphed as functions of the 24-hr to 1-hr rainfall-depth ratio for a specific return period. The best equation for a particular site is found from graphs of the error sum of squares as a function of the 24-hr to 1-hr rainfall-depth ratio. Based on these graphs, a simple equation needing only a single parameter is suggested that provides a good fit for all the geographic regions covered. The procedure described here will be useful for developing precipitation patterns (i.e., design storms) used in designing hydraulic structures.
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References
1.
Bell, F. C.(1969). “Generalized rainfall-duration-frequency relationships.”J. Hydr. Div., ASCE, 95(1), 311–327.
2.
Bernard, M. M.(1932). “Formulas for rainfall intensities of long duration.”Trans., ASCE, 96, 592–624.
3.
Chen, C. L.(1983). “Rainfall intensity-duration-frequency formulas.”J. Hydr. Engrg., 109(12), 1603–1621.
4.
Chow, V. T. (1962). “Hydrologic determination of waterway areas for the design of drainage structures in small drainage basins.”Bull. No. 462, Engrg. Experiment Station, Univ. of Illinois, Urbana, Ill.
5.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology . McGraw-Hill Book Co., New York, N.Y.
6.
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 Tech. Memo. NWS HYDRO-35, Ofc. of Hydro., Nat. Oceanic and Atmospheric Administration, National Weather Service, Silver Spring, Md.
7.
Froehlich, D. C.(1993). “Short-duration-rainfall intensity equations for drainage design.”J. Irrig. and Drain. Engrg., 119(5), 814–828.
8.
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.”Tech. Paper No. 40, U.S. Weather Bureau, Washington, D.C.
9.
Huff, F. A.(1967). “Time distribution of rainfall in heavy storms.”Water Resour. Res., 3(4), 1007–1019.
10.
Miller, J. F. (1963). “Probable maximum precipitation and rainfall-frequency data for Alaska for areas to 400 square miles, durations to 24 hours, and return periods from 1 to 100 years.”Tech. Paper No. 47, U.S. Weather Bureau, Washington, D.C.
11.
Miller, J. F., Frederick, R. H., and Tracey, F. 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, Nat. Weather Service, Nat. Oceanic and Atmospheric Administration, U.S. Dept. of Commerce, Silver Spring, Md.
12.
Pilgrim, D. H., and Cordery, I.(1975). “Rainfall temporal patterns for design floods.”J. Hydr. Div., ASCE, 101(1), 812–95.
13.
Pilgrim, D. H., and Cordery, I. (1993). “Flood runoff.”Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill Book Co., New York, N.Y., 9.1–9.42.
14.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1993). “Frequency analysis of extreme events.”Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill Book Co., New York, N.Y., 18.1–18.66.
15.
U.S. Weather Bureau. (1955). “Rainfall intensity-duration-frequency curves for selected stations in the United States, Alaska, Hawaiian Islands, and Puerto Rico.”Tech. Paper No. 25, Washington, D.C.
16.
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.”Tech. Paper No. 42, Washington, D.C.
17.
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.”Tech. Paper No. 43, Washington, D.C.
18.
Wenzel, H. G. (1982). “Rainfall for urban stormwater design.”Urban stormwater hydrology; Water Resour. Monograph 7, D. F. Kibler, ed., Am. Geophys. Union, Washington, D.C.
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Copyright © 1995 American Society of Civil Engineers.
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Published online: Oct 1, 1995
Published in print: Oct 1995
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