Estimation of Volumetric Runoff Coefficients for Texas Watersheds Using Land-Use and Rainfall-Runoff Data
Publication: Journal of Irrigation and Drainage Engineering
Volume 138, Issue 1
Abstract
The rational method for peak discharge ( ) estimation was introduced in the 1880s. Although the rational method is considered simplistic, it remains an effective method for estimating peak discharge for small watersheds. The runoff coefficient ( ) is a key parameter for the rational method and can be estimated in various ways. Literature-based values ( ) are listed for different land-use/land cover (two words, no hyphen) (LULC) conditions in various design manuals and textbooks; however, these values were developed with little basis on observed rainfall and runoff data. In this paper, values were derived for 90 watersheds in Texas by using LULC data for 1992 and 2001; the values derived from the two data sets were essentially the same. Also for this study, volumetric runoff coefficients ( ) were estimated by using observed rainfall and runoff depths from more than 1,600 events observed in the watersheds. Watershed-median and watershed-average values were computed, and both are consistent with data from the National Urban Runoff Program. In addition, values were estimated by using rank-ordered pairs of rainfall and runoff depths (i.e., frequency matching). As anticipated, values derived by all three methods (literature based, event totals, and frequency matching) consistently had larger values for developed watersheds than for undeveloped watersheds. Two regression equations of versus percent impervious area were developed and combined into a single equation that can be used to rapidly estimate values for similar Texas watersheds.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers thank TxDOT Project Director Chuck Stead, P.E., and the project monitoring advisor members for their guidance and assistance. They also express their gratitude to technical reviewers Meghan Roussel and Glenn Harwell from the Texas Water Science Center in Austin and Fort Worth, respectively, and to three anonymous reviewers; their comments and suggestions greatly improved the paper. This study was partially supported by TxDOT Research Projects TXDOT0-6070, TXDOT0-4696, TXDOT0-4193, and TXDOT0-4194.
References
ASCE. (1992). “Hydrology and introduction to water quality.” Design and construction of urban stormwater management systems, New York, 63–97.
Asquith, W. H. (2011). “A proposed unified rational method for Texas.” Use of the rational and modified rational methods for TxDOT hydraulic design, Texas Dept. of Transportation Research Rep. 0-6070-1, T. G. Cleveland, X. Fang, and D. B. Thompson, eds., Austin, TX, section 3, 18–57.
Asquith, W. H., and Roussel, M. C. (2007). “An initial-abstraction, constant-loss model for unit hydrograph modeling for applicable watersheds in Texas.” Scientific Investigations Rep. 2007-5243, 82, USGS. 〈http://pubs.usgs.gov/sir/2007/5243〉.
Asquith, W. H., Thompson, D. B., Cleveland, T. G., and Fang, X. (2004). “Synthesis of rainfall and runoff data used for Texas Department of Transportation research projects 0-4193 and 0-4194.” Open-File Rep. 2004-1035, USGS, Austin, TX.
Asquith, W. H., Thompson, D. B., Cleveland, T. G., and Fang, X. (2006). “Unit hydrograph estimation for applicable Texas watersheds.” Center for Multidisciplinary Research in Transportation, Texas Tech Univ., Austin, TX.
Ayyub, B. M., and McCuen, R. H. (2003). Probability, statistics, and reliability for engineers and scientists, 2nd Ed., Chapman & Hall/CRC, Boca Raton, FL, 640.
Calomino, F., Veltri, P., Prio, P., and Niemczynowicz, J. (1997). “Probabilistic analysis of runoff simulations in a small urban catchment.” Water Sci. Technol., 36(8–9), 51–56.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw Hill, New York.
Cleveland, T. G., He, X., Asquith, W. H., Fang, X., and Thompson, D. B. (2006). “Instantaneous unit hydrograph evaluation for rainfall-runoff modeling of small watersheds in north and south central Texas.” J. Irrig. Drain Eng., 132(5), 479–485.
Cleveland, T. G., Thompson, D. B., Fang, X., and He, X. (2008). “Synthesis of unit hydrographs from a digital elevation model.” J. Irrig. Drain Eng., 134(2), 212–221.
Dunne, T., and Leopold, L. B. (1978). Water in environmental planning, W. H. Freeman, San Francisco.
Environmental Systems Research Institute (ESRI). (2004). Using ArcGIS spatial analyst, Redlands, CA.
Fang, X., Thompson, D. B., Cleveland, T. G., and Pradhan, P. (2007). “Variations of time of concentration estimates using NRCS velocity method.” J. Irrig. Drain Eng., 133(4), 314–322.
Fang, X., Thompson, D. B., Cleveland, T. G., Pradhan, P., and Malla, R. (2008). “Time of concentration estimated using watershed parameters determined by automated and manual methods.” J. Irrig. Drain Eng., 134(2), 202–211.
French, R., Pilgrim, D. H., and Laurenson, E. M. (1974). “Experimental examination of the rational method for small rural catchments.” Civ. Eng. Trans. Inst. Eng., Australia, CE16(2), 95–102.
Harle, H. K. (2002). “Identification of appropriate size limitations for hydrologic modeling for the state of Texas.” M.S. thesis, Dept. of Civil and Environmental Engineering, Texas Tech Univ., Lubbock, TX.
Hawkins, R. H. (1993). “Asymptotic determination of runoff curve numbers from data.” J. Irrig. Drain Eng., 119(2), 334–345.
Hjelmfelt, A. T. (1980). “Empirical investigation of curve number technique.” J. Hydraul. Div., 106(9), 1471–1476.
Institute of Hydrology. (1976). “Water balance of the headwater catchments of the Wye and Severen 1970-1975.” Rep. No. 33, Institute of Hydrology, Oxfordshire, UK.
Joint Committee of the ASCE and the Water Pollution Control Federation. (1960). Design and construction of sanitary and storm sewers, Water Pollution Control Federation (WPCF), Washington, DC.
Kuichling, E. (1889). “The relation between the rainfall and the discharge of sewers in populous areas.” Am. Soc. Civ. Eng., Trans., 20, 1–56.
Law, F. (1956). “The effect of afforestation upon the yield of water catchment areas.” Technical. Rep., British Association for Advancement of Science, Sheffield, England.
Lloyd-Davies, D. E. (1906). “The elimination of storm water from sewerage systems.” Minutes of Proc., Institution of Civil Engineers, London, 164, 41.
McCuen, R. H. (1998). Hydrologic analysis and design, Prentice-Hall, Upper Saddle River, NJ.
Merz, R., Blöschl, G., and Parajka, J. (2006). “Spatio-temporal variability of event runoff coefficients.” J. Hydrol. (Amsterdam), 331(3–4), 591–604.
Mulholland, P. J., Wilson, G. V., and Jardine, P. M. (1990). “Hydrogeochemical response of a forested watershed to storms: Effects of preferential flow along shallow and deep pathways.” Water Resour. Res., 26(12), 3021–3036.
Pilgrim, D. H., and Cordery, I. (1993). “Flood runoff.” Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill, New York, 9.1–9.42.
Roussel, M. C., Thompson, D. B., Fang, X., Cleveland, T. G., and Garcia, A. C. (2005). “Timing parameter estimation for applicable Texas watersheds.” Research Rep. No. 0-4696-2, Texas Dept. of Transportation, Austin, TX.
Sauer, V. B., Thomas, W. O., Stricker, V. A., and Wilson, K. V. (1983). “Flood characteristics of urban watersheds in the United States.” Water-Supply Paper 2207, USGS, U.S. Government Printing Office, Washington, DC.
Schaake, J. C., Geyer, J. C., and Knapp, J. W. (1967). “Experimental examination of the rational method.” J. Hydr. Div., 93(6), 353–370.
Schwab, G. O., and Frevert, R. K. (1993). Elementary soil and water engineering, Krieger Publishing, Malabar, FL.
Sherman, L. K. (1932). “Stream-flow from rainfall by the unit-graph method.” Eng. News-Rec., 108, 501–505.
Soil Conservation Service (SCS). (1963). “Section 4: Hydrology.” National engineering handbook, U.S. Dept. of Agriculture, Washington, DC.
Texas Dept. of Transportation (TxDOT). (2002). “Hydraulic design manual.” Bridge Division of TxDOT, Austin, TX.
Urbonas, B., Guo, C. Y. J., and Tucker, L. S. (1989). “Optimization of stormwater quality capture volume.” Proc., Engineering Foundation Conf., Urban Water Research Council of the American Society of Civil Engineers, Devos Platz, Switzerland.
U.S. Environmental Protection Agency (USEPA). (1983). “Results of the nationwide urban runoff program: Vol. 1—Final report.” National Technical Information Service (NTIS) Accession No. PB84-185552, Water Planning Division, Washington, DC.
Viessman, W., and Lewis, G. L. (2003). Introduction to hydrology, 5th Ed., Pearson Education, Upper Saddle River, NJ, 612.
Wanielista, M. P., and Yousef, Y. A. (1993). Stormwater management, Wiley, New York.
Young, C. B., McEnroe, B. M., and Rome, A. C. (2009). “Empirical determination of rational method runoff coefficients.” J. Hydrol. Eng., 14(12), 1283.
Information & Authors
Information
Published In
Copyright
© 2012 American Society of Civil Engineers.
History
Received: May 28, 2010
Accepted: Apr 6, 2011
Published online: Apr 8, 2011
Published in print: Jan 1, 2012
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.