Transforms for Runoff and Sediment Transport
Publication: Journal of Hydrologic Engineering
Volume 1, Issue 3
Abstract
Transforms reduce the distributions of surface-runoff and sediment-transport variables to near-exponential distributions typical of rainfall duration and intensity. Two transform parameters are determined from field measurements using either a graphical method or the method of moments. The transforms were tested on both small experimental plots and very large watersheds for the distributions of rainfall depth, runoff volume and discharge, sediment concentration and sediment discharge, as well as concentration and transport of chemicals from surface runoff. As expected from deterministic relationships, the inverse transform exponent for point rainfall is close to unity, increases to about 1.5 for runoff discharge, and varies between 1.5 and 3 for sediment and chemical transport. Several examples show that the transforms are useful to determine exceedance probability, flow and sediment duration curves, expected sediment load, and sediment-rating curves for poorly correlated concentration and discharge measurements.
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References
1.
Ashkar, F., and Rousselle, J.(1981). “Design discharge as a random variable: A risk study.”Water Resour. Res., 17(3), 577–591.
2.
Cadavid, L., Obeysekera, J. T. B., and Shen, H. W.(1991). “Flood-frequency derivation from kinematic wave.”J. Hydr. Engrg., ASCE, 117(4), 489–509.
3.
Diaz-Granados, M. A., Valdes, J. B., and Bras, R. L.(1984). “A physically based flood frequency distribution.”Water Resour. Res., 20(7), 995–1002.
4.
Eagleson, P. S.(1972). “Dynamics of flood frequency.”Water Resour. Res., 18(2), 878–898.
5.
Eagleson, P. S.(1978). “Climate, soil and vegetation, 2. The distribution of annual precipitation derived from observed storm sequence.”Water Resour. Res., 14(5), 713–721.
6.
Ferguson, R. I.(1986). “River loads underestimated by rating curves.”Water Resour. Res., 22(1), 74–76.
7.
Fontaine, T. A., and Potter, K. W.(1989). “Estimating probabilities of extreme rainfalls.”J. Hydr. Engrg., ASCE, 115(11), 1562–1575.
8.
Foufoula-Georgiou, E.(1989). “A probabilistic storm transposition approach for estimating exceedance probabilities of extreme precipitation depths.”Water Resour. Res., 25(5), 799–815.
9.
Govindaraju, R. S., and Kavvas, M. L.(1991). “Stochastic overland flows, Part 2: Numerical solutions evolutionary probability density functions.”Stochastic Hydro. and Hydr., 5, 105–124.
10.
Gumbel, E. J. (1958). Statistics of extremes . Columbia University Press, New York, N.Y.
11.
Hawkins, R. H.(1993). “A symptotic determination of runoff curve numbers from data.”J. Irrig. and Drain. Engrg., ASCE, 119(2), 334–345.
12.
Hebson, C., and Wood, E. F.(1982). “A derived flood frequency distribution using Horton order ratios.”Water Resour. Res., 18(5), 1509–1518.
13.
Hjelmfelt, A. T.(1991). “Investigation of curve number procedure.”J. Hydr. Engrg., ASCE, 117(6), 725–737.
14.
Hjelmfelt, A. T., and Burwell, R. E.(1984). “Spatial variability of surface runoff.”J. Irrig. and Drain. Engrg., ASCE, 110(1), 46–54.
15.
Jamison, V. C., Smith, D. D., and Thornton, J. F. (1968). “Soil and water research on a claypan soil.”USDA, ARS, Tech. Bull. No. 1379, U.S. Govt. Printing Ofc., Washington, D.C.
16.
Johnson, H. P., and Baker, J. L. (1982). “Field-to-stream transport of agricultural chemicals and sediment in an Iowa watershed part I: Data base for model testing (1976–1978).”Rep. EPA-600/3-82-032, Envir. Res. Lab., Envir. Protection Agency (EPA), Athens, Ga.
17.
Julien, P. Y. (1982). “Prédiction d'apport solide pluvial et nival dans les cours d'eau nordiques à partir du ruissellement superficiel,” PhD dissertation, Civ. Engrg. Dept., Laval Univ., Québec, Canada (in French).
18.
Julien, P. Y. (1995). Erosion and sedimentation . Cambridge University Press, London, England.
19.
Julien, P. Y., and Frenette, M.(1985). “Modeling of rainfall erosion.”J. Hydr. Engrg., ASCE, 111(10), 1344–1359.
20.
Julien, P. Y., and Moglen, G. E.(1990). “Similarity and length scale for spatially-varied overland flow.”Water Resour. Res., 26(8), 1819–1832.
21.
Kavvas, M. L., and Govindaraju, R. S.(1991). “Stochastic overland flows Part 1: Physics-based evolutionary probability distributions.”Stochastic Hydro. and Hydr., 5, 89–104.
22.
Moughamian, M. S., McLaughlin, D. B., and Bras, R. L.(1987). “Estimation of flood frequency: an evaluation of two derived procedures.”Water Resour. Res., 23(7), 1309–1319.
23.
Nguyen, V. T. V., and Rousselle, J.(1981). “A stochastic model for the time distribution of hourly rainfall depth.”Water Resour. Res., 17(2), 399–409.
24.
Ogden, F. L., and Julien, P. Y.(1993). “Runoff sensitivity to temporal and spatial rainfall variability at runoff plan and small basin scale.”Water Resour. Res., 29(8), 2589–2597.
25.
Ogden, F. L., Richardson, J. R., and Julien, P. Y.(1995). “Similarity in catchment response 2. moving rainstorms.”Water Resour. Res., 31(6), 1543–1547.
26.
Raines, T., and Valdes, J. B.(1993). “Estimation of flood frequencies for ungaged catchments.”J. Hydr. Engrg., ASCE, 119(10), 1138–1154.
27.
Rousseau, C. (1979). “Analyse des caracteristiques hydrologiques d'une couverture nivale,” MS thesis, Civ. Engrg. Dept., Laval Univ., Québec, Canada (in French).
28.
Saghafian, B., Julien, P. Y., and Ogden, F.(1995). “Similarity in catchment response 1. stationary rainstorms.”Water Resour. Res., 31(6), 1533–1541.
29.
Schaake, J. C., Geyer, J. C., and Knapp, J. W.(1967). “Experimental examination of the rational method.”J. Hydr. Engrg., ASCE, 93(6), 353–370.
30.
Shen, H. W., Koch, G. J., and Obeysekera, J. T. B.(1990). “Physically based flood features and frequencies.”J. Hydr. Engrg., ASCE, 116(4), 494–514.
31.
Smith, C. N., Leonard, R. A., Langdale, G. W., and Bailey, G. W. (1978). “Transport of agricultural chemicals from small upland piedmont watersheds.”Rep. EPA-600/3-78-056, U.S. Envir. Protection Agency (EPA), Athens, Ga.
32.
Stedinger, J. R., Vogel, R. M., and Foufoula-Georgiou, E. (1993). “Chapter 18: Frequency analysis of extreme events.”Handbook of hydrology,. McGraw-Hill, New York, N.Y.
33.
Todorovic, P. (1968). “A mathematical study of precipitation phenomena.”Rep. CER67-68PT65, Engrg. Res. Ctr., Colorado State Univ., Fort Collins, Colo.
34.
Todorovic, P., and Rousselle, J.(1971). “Some problems of flood analysis.”Water Resour. Res., 7(5), 1144–1150.
35.
Todorovic, P., and Woolhiser, D. A. (1974). “Stochastic model of daily rainfall.”Proc., Symp. on Statistical Hydro., Misc. Publ. No. 1275, U.S. Dept. of Agric., Agric. Res. Service, 232–246.
36.
Villeneuve, G. O. (1968). “Données météorologiques de la station agronomique de Laval.”Data Rep. Publ. MP-9, MP-17, MP-23, MP-33, and MP-52 for 1966, 1967, 1968, 1969, 1970, Publ. MP-9, Ministère des Richesses Naturelles, Québec, Canada (in French).
37.
Wood, E. F., and Hebson, C. S.(1986). “On hydrologic similarity. 1. Derivation of the dimensionless flood frequency curve.”Water Resour. Res., 21(11), 1549–1554.
38.
Woolhiser, D. A. (1975). “Chapter 12: Simulation of unsteady overland flow.”Unsteady flow in open channels, Water Resources Publications, Littleton, Colo., 485–508.
39.
Woolhiser, D. A. (1977). “Unsteady free-surface flow problems.”Mathematical models for surface water hydrology, John Wiley & Sons, New York, N.Y., 195–213.
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Published In
Journal of Hydrologic Engineering
Volume 1 • Issue 3 • July 1996
Pages: 114 - 122
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Jul 1, 1996
Published in print: Jul 1996
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