Technical Papers
Dec 1, 2012

Rate-Based Estimation of the Runoff Coefficients for Selected Watersheds in Texas

Publication: Journal of Hydrologic Engineering
Volume 18, Issue 12

Abstract

The runoff coefficient, C, of the rational method is an expression of rate proportionality between rainfall intensity and peak discharge. Values of C were derived for 80 developed and undeveloped watersheds in Texas using two distinct methods. First, the rate-based runoff coefficient, Crate, was estimated for each of about 1,500 rainfall-runoff events. Second, the frequency-matching approach was used to derive a runoff coefficient, Cr, for each watershed. Published C values, Clit, or literature-based runoff coefficients were compared to those obtained from the methods investigated here. Using the 80 Texas watersheds, comparison of the two methods shows that about 75% of literature-based runoff coefficients are greater than Cr and the watershed-median Crate, but for developed watersheds with more impervious cover, literature-based runoff coefficients are less than Cr and Crate. An equation applicable to many Texas watersheds is proposed to estimate C as a function of impervious area.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors thank TxDOT project director Chuck Stead, P.E., and project monitoring advisor members for their guidance and assistance. They also express thanks to technical reviewers Jennifer Murphy and Nancy A. Barth from USGS Tennessee and California Water Science Centers, respectively, and to three anonymous reviewers; the comments and suggestions greatly improved the paper. This study was partially supported by TxDOT Research Projects 0–6070, 0–4696, 0–4193, and 0–4194.

References

ASCE, and Water Pollution Control Federation (WPCF). (1960). “Design and construction of sanitary and storm sewers.” ASCE and WPCF, Reston, VA.
Asquith, W. H. (2011). “A proposed unified rational method for Texas.” Use of the rational and modified rational methods for TxDOT hydraulic design, T. G. Cleveland, D. B. Thompson, and X. Fang, (eds.)., Section 3, Texas Tech Univ., Lubbock, TX, 18–58.
Asquith, W. H., and Roussel, M. C. (2007). “An initial-abstraction, constant-loss model for unit hydrograph modeling for applicable watersheds in Texas.”, 〈http://pubs.usgs.gov/sir/2007/5243〉 (Feb. 2, 2011).
Asquith, W. H., and Roussel, M. C. (2009). “Regression equations for estimation of annual peak-streamflow frequency for undeveloped watersheds in Texas using an L-moment-based, PRESS-Minimized, residual-adjusted approach.”, Austin, TX.
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.”, USGS, Austin, TX.
Asquith, W. H., Thompson, D. B., Cleveland, T. G., and Fang, X. (2006). “Unit hydrograph estimation for applicable Texas watersheds.” Texas Tech Univ., Center for Multidisciplinary Research in Transportation, Austin, TX.
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., and Fang, X. (2011). “Use of the rational and modified rational methods for TxDOT hydraulic design.”, Texas Tech Univ., Lubbock, TX.
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.
Dhakal, N., Fang, X., Asquith, W. H., Cleveland, T. G., and Thompson, D. B. (2013). “Return period adjustments for runoff coefficients based on analysis in undeveloped Texas watersheds.” J. Irrig. Drain. Eng., 139(6), 476–482.
Dhakal, N., Fang, X., Cleveland, T. G., Thompson, D. B., Asquith, W. H., and Marzen, L. J. (2012). “Estimation of volumetric runoff coefficients for Texas watersheds using land-use and rainfall-runoff data.” J. Irrig. Drain. Eng., 138(1), 43–54.
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, B. E. (1974). “Experimental examination of the rational method for small rural catchments.” Trans. Inst. Eng. Aust. Civ. Eng., CE16(2), 95–102.
Guo, J. C. Y., and Urbonas, B. (1996). “Maximized detention volume determined by runoff capture ratio.” J. Water Resour. Plann. Manage., 122(1), 33–39.
Hawkins, R. H. (1993). “Asymptotic determination of runoff curve numbers from data.” J. Irrig. Drain. Eng., 119(2), 334–345.
Hotchkiss, R. H., and Provaznik, M. K. (1995). “Observations on the rational method C value.” Watershed Management; Planning for the 21st Century; Proc., Symp. Sponsored by the Watershed Management Committee of the Water Resources, T. J. Ward, ed., ASCE, New York.
Jens, S. W. (1979). Design of urban highway drainage, Federal Highway Administration (FHWA), Washington, DC.
Kerby, W. S. (1959). “Time of concentration for overland flow.” Civ. Eng., 29(3), 174.
Kirpich, Z. P. (1940). “Time of concentration of small agricultural watersheds.” Civ. Eng., 10(6), 362.
Kuichling, E. (1889). “The relation between the rainfall and the discharge of sewers in populous areas.” Trans. ASCE, 20(1), 1–56.
Mays, L. W. (2004). Urban stormwater management tools, McGraw-Hill, New York.
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., 331(3–4), 591–604.
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, D. X., Cleveland, T. G., and Garcia, A. C. (2005). “Timing parameter estimation for applicable Texas watersheds.”, Texas Dept. of Transportation, Austin, TX.
Schaake, J. C., Geyer, J. C., and Knapp, J. W. (1967). “Experimental examination of the rational method.” J. Hydraul. Div., 93(6), 353–370.
Texas Dept. of Transportation (TxDOT). (2002). Hydraulic design manual, The Bridge Division of the Texas Dept. of Transportation, Austin, TX.
Titmarsh, G. W., Cordery, I., and Pilgrim, D. H. (1995). “Calibration procedures for rational and USSCS design flood methods.” J. Hydraul. Eng., 121(1), 61–70.
U.S. Environmental Protection Agency (USEPA). (1983). “Results of the nationwide urban runoff program, Volume I—Final Report.”, Water Planning Division, U.S. Environmental Protection Agency (USEPA), Washington, DC.
Viessman, W., and Lewis, G. L. (2003). Introduction to hydrology, 5th Ed., Pearson Education, Upper Saddle River, NJ.
Vogelmann, J. E., Howard, S. M., Yang, L., Larson, C. R., Wylie, B. K., and Van Driel, J. N. (2001). “Completion of the 1990s National Land Cover Data set for the conterminous United States from Landsat Thematic Mapper data and ancillary data sources.” Photogramm. Eng. Remote Sens., 67(6), 650–662.
Young, C. B., McEnroe, B. M., and Rome, A. C. (2009). “Empirical determination of rational method runoff coefficients.” J. Hydrol. Eng., 14(12), 1283–1289.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 18Issue 12December 2013
Pages: 1571 - 1580

History

Received: Sep 13, 2011
Accepted: Nov 29, 2012
Published online: Dec 1, 2012
Discussion open until: May 1, 2013
Published in print: Dec 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Nirajan Dhakal [email protected]
A.M.ASCE
Postdoctoral Fellow, Sustainability Solutions Initiative, Univ. Maine, Orono, ME 04469-5711; formerly, Research Assistant, Dept. of Civil Engineering, Auburn Univ., Auburn, AL 36849-5337. E-mail: [email protected]
P.E.
M.ASCE
Professor, Dept. of Civil Engineering, Auburn Univ., Auburn, AL 36849-5337 (corresponding author). E-mail: [email protected]
William H. Asquith [email protected]
P.G.
Research Hydrologist and Professional Geoscientist, U.S. Geological Survey, Texas Tech Univ., Lubbock, TX 79409. E-mail: [email protected]
Theodore G. Cleveland [email protected]
P.E.
M.ASCE
Associate Professor, Dept. of Civil and Environmental Engineering, Texas Tech Univ., Lubbock, TX 79409-1023. E-mail: [email protected]
David B. Thompson [email protected]
P.E.
M.ASCE
Director of Engineering, R.O. Anderson Engineering, Inc., Minden, NV 89423. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share