Toward A New Rational Method
Publication: Journal of Hydraulic Engineering
Volume 115, Issue 9
Abstract
A revision is proposed in the formulation of the rational method and in the procedure of its application. Two misleading concepts are eliminated: that a watershed has a unique time of concentration equal to the time of flow along the watershed; and that a rainfall event of a given occurrence probability results in a runoff event of the same probability. Based upon laboratory results and field data, a method is proposed that links the peak discharge to the intensity and duration of the causative rainfall, with no explicit reference to a time of concentration. The relationship uses an envelope curve for variables derived from measurable data. Upon application of the relationship to a complete series of rainfalls, subtracting abstractions, a complete series of runoff peaks would be generated. This series is readily suitable for a statistical analysis, similar to that applied to a measured series, from which the design discharge is determined.
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References
1.
Ardis, C. V., Dueker, K. J., and Lenz, A. T. (1969). “Storm drainage practices of thirty‐two cities.” J. Hydr. Div., ASCE, 95(1), 383–408.
2.
Bauer, D. P., Rathbun, R. E., and Lowham, H. W. (1979). “Traveltime unit concentration longitudinal dispersion and reaeration characteristics of upstream reaches of the Yampa and Little Snake Rivers Colorado and Wyoming.” W.R. Inv., USGS, Denver, Colo., 78–122.
3.
Ben‐Zvi, A. (1970). “On the relationship between rainfall and surface runoff on laboratory watersheds,” thesis presented to the University of Illinois, at Urbana‐Champaign, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Ben‐Zvi, A. (1974). “The velocity assumption behind linear invariant watershed response models.” IAHS Publ. 101, 758–761.
5.
Ben‐Zvi, A. (1984). “Runoff peaks from two‐dimensional laboratory watersheds.” J. Hydrol., 68(1/4), 115–139.
6.
Ben‐Zvi, A. (1988). “Enhancement of runoff from a small watershed by cloud seeding.” J. Hydrol. 101, 291–303.
7.
Bernard, M. M. (1983). “Modified rational method of estimating flood flows.” Low Dams, Subcommittee on Small Water Storage Projects, Water Resour. Committee, Nat. Resour, Committee, Washington, D.C., 209–233.
8.
Chien, J. S., and Saigal, K. K. (1974). “Urban runoff by linearized subhydrographic method.” J. Hydr. Div., ASCE, 100(8), 1141–1157.
9.
Chow, V. T., ed. (1964). Handbook of applied hydrology. McGraw‐Hill, New York, N.Y.
10.
Clark, C. O. (1945). “Storage and the unit hydrograph.” Trans., ASCE, 110, 1419–1488.
11.
Feng, Y., and He, C. C. (1987). “A study of the relationship between storm rainfall and flood based on analysis of the 83.7 flood at Ankang in the Han River basin.” J. Hydrol. 96, 355–363.
12.
Gregory, L. R., and Arnold, C. E. (1932). “Runoff—rational runoff formulas.” Trans., ASCE, 96, 1038–1177.
13.
Gregory, L. R., and Arnold, C. E. (1935). Discussion of “An approach to determine streamflow,” by M. M. Bernard. Trans., ASCE, 100, 372–383.
14.
Hathaway, G. A. (1945). “Design of drainage facilities—military airfields.” Trans., ASCE, 110, 697–730.
15.
Henderson, F. M., and Wooding, R. A. (1964). “Overland flow and groundwater flow from a steady rainfall of finite duration.” J. Geophys. Res., 69, 1531–1540.
16.
Horton, R. E. (1938). “The interpretation and application of runoff plat experiments with reference to soil erosion problems.” Proc., Soil Science Society of America, 3, 340–349.
17.
Izzard, C. F. (1946). “Hydraulics of runoff from developed surfaces.” Proc., Highway Research Board, 26, 121–150.
18.
Kerby, W. S. (1959). “Time of concentration for overland flow.” Civ. Engrg., ASCE, 60, 174.
19.
Keuleagan, G. H. (1944). “Spatially varied discharge over a sloping plane.” Trans., AGU, 25(6), 956–959.
20.
Kirpich, Z. P. (1940). “Time of concentration of small agricultural watersheds.” Civ. Engrg., ASCE, 10(6), 362.
21.
Krimgold, D. B. (1946). “On the hydrology of culverts.” Proc., Highway Research Board, 26, 214–226.
22.
Kuichling, E. (1889). “The relation between the rainfall and the discharge of sewers in populous districts.” Trans., ASCE, 20, 1–60.
23.
McCuen, R. H., Wong, S. L., and Rawls, W. J. (1984). “Estimating urban time of concentration.” J. Hydr. Engrg., ASCE, 110(7), 887–904.
24.
McPherson, M. B., ed. (1977). “Research on urban hydrology.” Tech. Paper 15, United Nations Educational, Scientific and Cultural Organization, Paris, France.
25.
McPherson, M. B., ed. (1978). “Research on urban hydrology.” Tech. Paper 16, United Nations Educational, Scientific and Cultural Organization, Paris, France.
26.
Minshall, N. E. (1962). “Predicting storm runoff in small experimental watersheds.” Trans., ASCE, 127(1), 625–659.
27.
Nash, J. E. (1958). “Determining runoff from rainfall.” Proc., Institute of Civil Engineers, 10, 163–184.
28.
Overton, D. E., and Meadows, M. E. (1976). Stormwater modeling. Academic Press New York, N.Y.
29.
Qian, W. C. (1987). “Analysis of the design storm time‐intensity pattern for medium and small watersheds.” J. Hydrol., 96, 305–317.
30.
Pilgrim, D. H. (1976). “Travel times and non‐linearity of flood runoff from tracer measurements on a small watershed.” Water Resour. Res., 12(3), 487–496.
31.
Ramser, C. E. (1927). “Runoff from small agricultural areas.” J. Agr. Res., 34(9), 797–823.
32.
Rogers, R. A. (1968). “Rational ‘rational’ method of storm drainage design.” J. Irrig. and Drain. Div., ASCE, 94(4), 465–480.
33.
Schaake, J. C., Geyer, J. C., and Knapp, J. W. (1967). “Experimental examination of the rational method.” J. Hydr. Div., ASCE, 93(6), 353–370.
34.
Sherman, L. K. (1932). “The relation of the hydrographs of runoff to size and character of drainage basins.” Trans., AGU, 13, 332–339.
35.
Snyder, F. F. (1958). “Synthetic flood frequencies.” Proc., Hydraulics Division, ASCE, 84(5), 1–22.
36.
Steacy, R. E. (1961). “Time of travel of water in the Ohio River Pittsburgh to Cincinnati.” Circ. 439, USGS, Washington, D.C.
37.
Yao, K. (1988). “Hydrology of moving storms,” thesis presented to Technion, Israel Institute of Technology, Haifa, Israel, in partial fulfillment of the requirements for the degree of Master of Science.
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Copyright © 1989 ASCE.
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Published online: Sep 1, 1989
Published in print: Sep 1989
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