TECHNICAL PAPERS
May 14, 2010

Incorporating Surface Storage and Slope to Estimate Clark Unit Hydrographs for Ungauged Indiana Watersheds

Publication: Journal of Hydrologic Engineering
Volume 15, Issue 11

Abstract

Application of Soil Conservation Service’s (SCS) dimensionless unit hydrograph method for ungauged basins in Indiana yields very high peak flows and short time to peaks for the northern region, thus producing unrealistic flow estimates for design purposes. It is hypothesized that the overestimation of peak flows in northern region using SCS method is due to the flat terrain and high surface storage caused by the Wiconsinan glaciations. To incorporate the slope and storage characteristics, the application of Clark synthetic unit hydrograph (SUH), which incorporates time of concentration (tc) and a storage parameter (R) to produce runoff hydrograph, is explored for Indiana. A statistical analysis of 29 geomorphic attributes and past storm hydrographs for thirty watersheds in Indiana show that watersheds in north, central and southern regions are statistically different in terms of slope and storage characteristics. A statistical comparison of Clark parameters ( R and tc ) estimated for past storm events also support the effect of storage (higher R ) in the north, and slope (higher tc ) in the south. Linear and nonlinear regression models of R and tc against all geomorphic attributes for all watersheds yielded storage and slope attributes as significant independent variables, thus providing a way to incorporate slope and storage into hydrograph predictions for ungauged watersheds through Clark SUH. Additionally, regional regression of R and tc with geomorphic attributes produced equations that included attributes related to storage and slope for north, and attributes related to land use, slope and stream network for central and southern regions. Validation of regression equations using new storm events for seven watersheds show that the performance of Clark SUH is the best for northern region followed by central and southern regions. The peak estimated by Clark SUH is more than 60% lower compared to SCS method for northern watersheds, but comparable to observed peak. Overall, the use of R and tc estimated through regression for Clark SUH yield better results compared to SCS method for the entire state including central and southern regions, thus providing more confidence in hydrograph prediction for ungauged basins in Indiana.

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Acknowledgments

This study was supported by a grant from the Joint Transportation Research Program (JTRP) at Purdue University. The writers are grateful to the JTRP Study Advisory Committee members for their input, comments, and suggestions throughout the study. We would like to thank Dr. Hirad Abghari and three anonymous reviewers whose comments led to significant improvement of the earlier version of this manuscript. The contents of this paper reflect the views of the writers, who are responsible for the facts and the accuracy of the data presented herein. The contents do not necessarily reflect the official views or policies of the Indiana Department of Transportation or the Federal Highway Administration at the time of publication. This paper does not constitute a standard, specification, or regulation.

References

Abdulla, F. A., and Lettenmaier, D. P. (1997). “Development of regional parameter estimation equations for a macroscale hydrologic model.” J. Hydrol., 197(1–4), 230–257.
Ahmad, M. M., Ghumman, A. R., and Ahmad, S. (2009). “Estimation of Clark’s instantaneous unit hydrograph parameters and development of direct surface runoff hydrograph.” Water Resour. Manage., 23(12), 2417–2435.
Chutha, P., and Dooge, J. C. I. (1990). “The shape-parameters of the geomorphologic unit-hydrograph.” J. Hydrol., 117(1–4), 81–97.
Clark, C. O. (1945). “Storage and the unit hydrograph.” Trans. Am. Soc. Civ. Eng., 110, 1419–1446.
Cody, R. P., and Smith, J. K. (2005). Applied statistics and the SAS programming language, Prentice-Hall, Upper Saddle River, NJ
Da Ros, D., and Borga, M. (1997). “Use of digital elevation model data for the derivation of the geomorphological instantaneous unit hydrograph.” Hydrolog. Process., 11(1), 13–33.
Draper, N. R., and Smith, H. (1998). Applied regression analysis, Wiley, New York.
Espey, W. H. J., Altman, D. G., and Graves, C. B. (1977). “Nomograph for ten-minute unit hydrographs for small urban watersheds.” ASCE Urban Water Resources Research Program Technical Memorandum No. 32, ASCE, New York.
Fleurant, C., Kartiwa, B., and Roland, B. (2006). “Analytical model for a geomorphological instantaneous unit hydrograph.” Hydrolog. Process., 20(18), 3879–3895.
Graf, J. B., Garklavs, G., and Oberg, K. A. (1982a). “A technique for estimating time of concentration and storage coefficient values for Illinois streams.” USGS Water-Resources Investigations Rep. No. 82-22, USGS, Urbana, IL.
Graf, J. B., Garklavs, G., and Oberg, K. A. (1982b). “Time of concentration and storage coefficient values for Illinois streams.” USGS Water-Resources Investigations Rep. No. 82-13, USGS, Urbana, IL.
Gray, D. M. (1961). “Synthetic unit hydrographs for small watersheds.” J. Hydr. Div., 87(HY4), 33–54.
Gupta, V. K., Waymire, E., and Wang, C. T. (1980). “A representation of an instantaneous unit-hydrograph from geomorphology.” Water Resour. Res., 16(5), 855–862.
Hickok, R. B., Keppel, R. V., and Rafferty, B. R. (1959). “Hydrograph synthesis for small arid land watersheds.” Agric. Eng., 40(10), 608–611.
Jena, S. K., and Tiwari, K. N. (2006). “Modeling synthetic unit hydrograph parameters with geomorphologic parameters of watersheds.” J. Hydrol. Eng., 319, 1–14.
Knipe, D., and Rao, A. R. (2005). “Estimation of peak discharges of Indiana streams by using log Pearson (III) distribution.” FHWA/IN/JTRP-2005/1, Indiana Dept. of Transportation, Indianapolis.
Kumar, A., and Kumar, D. (2008). “Predicting direct runoff from hilly watershed using geomorphology and stream-order-law ratios: Case study.” J. Hydrol. Eng., 13(7), 570–576.
Kumar, R., Chatterjee, C., Singh, R. D., Lohani, A. K., and Kumar, S. (2007). “Runoff estimation for an ungauged catchment using geomorphological instantaneous unit hydrograph (GIUH) models.” Hydrolog. Process., 21(14), 1829–1840.
Kutner, M. H., Nachtsheim, C. J., Neter, J., and Li, W. (2005). Applied statistical models, McGraw-Hill, New York.
Maidment, D. R., ed. (2002). Arc hydro: GIS for water resources, ESRI Press, Redlands, CA.
Melching, C. S., and Marquardt, J. S. (1996). “Equations for estimating synthetic unit-hydrograph parameter values for small watersheds in Lake County, Illinois.” USGS Open-File Rep. No. 96-474, USGS, Urbana, IL.
Merwade, V. (2008). “HMS model development using HEC-GeoHMS.” ⟨http://web.ics.purdue.edu/~vmerwade/education/geohms.pdf⟩ (May 1, 2009).
Moussa, R. (2008). “Effect of channel network topology, basin segmentation and rainfall spatial distribution on the geomorphologic instantaneous unit hydrograph transfer function.” Hydrolog. Process., 22(3), 395–419.
Murphey, J. B., Wallace, D. E., and Lane, L. J. (1977). “Geomorphologic parameters predict hydrograph characteristics in the southwest.” Water Resour. Bull., 13(1), 25–38.
Natural Resources Conservation Service (NRCS). (1984). “Computer program for project formulation-hydrology.” Technical Release No. 20, Washington, D.C.
Rao, A. R. (2004). “Regionalization of Indiana watersheds for flood flow predictions phase I: Studies in regionalization of Indiana watersheds.” FHWA/IN/JTRP-2002/2, Indiana Dept. of Transportation, Indianapolis.
Ries, K. G. I., Guthrie, J. D., Rea, A. H., Steeves, P. A. and Stewart, D. W. (2008). “StreamStats: A water resources web application.” USGS Fact Sheet 2004-3115, USGS, Baltimore.
Rinaldo, A., Dietrich, W. E., Rigon, R., Vogel, G. K., and Rodriguez-Iturbe, I. (1995). “Geomorphological signatures of varying climate.” Nature, 374(6523), 632–635.
Rinaldo, A., and Rodriguez-Iturbe, I. (1996). “Geomorphological theory of the hydrological response.” Hydrolog. Process., 10(6), 803–829.
Rodriguez-Iturbe, I., and Valdes, J. B. (1979). “Geomorphologic structure of hydrologic response.” Water Resour. Res., 15(6), 1409–1420.
Rosso, R. (1984). “Nash model relation to Horton order ratios.” Water Resour. Res., 20(7), 914–920.
Sabol, G. V. (1988). “Clark unit-hydrograph and R-parameter estimation.” J. Hydraul. Eng., 114(1), 103–111.
Sahoo, B., Chatterjee, C., Raghuwanshi, N. S., Singh, R., and Kumar, R. (2006). “Flood estimation by GIUH-based Clark and Nash models.” J. Hydrol. Eng., 11(6), 515–525.
SAS. (2008). “SAS/STAT 9.2 user’s guide.” ⟨http://support.sas.com/documentation/cdl/en/statug/59654/HTML/default/titlepage.htm⟩ (May 1, 2009).
Shamseldin, A. Y., and Nash, J. E. (1998). “The geomorphological unit hydrograph—A critical review.” Hydrology Earth Syst. Sci., 2(1), 1–8.
Sherman, L. K. (1932). “Stream flow from rainfall by unit-graph method.” Water Resour. Bull., 12, 381–392.
Snell, J. D., and Sivapalan, M. (1994). “On geomorphological dispersion in natural catchments and the geomorphological unit-hydrograph.” Water Resour. Res., 30(7), 2311–2323.
Snyder, F. F. (1938). “Synthetic unit-graphs.” Trans., Am. Geophys. Union, 19, 447–454.
Soil Conservation Service (SCS). (1972). “Hydrology.” National engineering handbook, USDA, Washington, D.C.
Straub, T. D., Melching, C. C., and Kocher, K. E. (2000). “Equations for estimating Clark unit-hydrograph parameters for small rural watersheds in Illinois.” USGS, Water Resources Investigations Rep. No. 00-4184, USGS, Urbana, IL.
U.S. Army Corps of Engineers (USACE). (2000). Hydrologic modeling system, HEC-HMS: Technical reference manual, CPD-74B, Hydrologic Engineering Center, Davis, CA.
Viessman, W. J., Lewis, G. L., and Knapp, J. W. (1989). Introduction to hydrology, Harper and Row, New York.
Wilcoxon, F. (1945). “Individual comparisons by ranking methods.” Biom. Bull., 1(6), 80–83.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 15Issue 11November 2010
Pages: 918 - 930

History

Received: May 27, 2009
Accepted: May 10, 2010
Published online: May 14, 2010
Published in print: Nov 2010

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Authors

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Jared Wilkerson [email protected]
Graduate Research Assistant, School of Civil Engineering, 550 Stadium Mall Dr., Purdue Univ., West Lafayette, IN 47907. E-mail: [email protected]
Venkatesh Merwade, A.M.ASCE [email protected]
Assistant Professor, School of Civil Engineering, 550 Stadium Mall Dr., Purdue Univ., West Lafayette, IN 47907 (corresponding author). E-mail: [email protected]

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