Advertisement

KSCE Journal of Civil Engineering

, Volume 23, Issue 12, pp 5257–5265 | Cite as

Feasible Ranges of Runoff Curve Numbers for Korean Watersheds Based on the Interior Point Optimization Algorithm

  • Jin-Young Lee
  • Nam Won Kim
  • Tae-Woong Kim
  • Muhammad JehanzaibEmail author
Water Resources and Hydrologic Engineering
  • 21 Downloads

Abstract

Rainfall runoff is a complex phenomenon in nature. It differs from place to place due to different topographical features and rainfall patterns. The Natural Resources Conservation Service - Curve Number (NRCS-CN) is a well-adopted model to account for direct runoff volume from storm events. There are several studies on determining the initial abstraction and the CN from observed rainfall-runoff data; however, few studies demonstrate their statistical characteristics. The major aim of this study is to determine the feasible range and the confidence intervals of the CN. We examined 660 rainfall-runoff events collected from six medium sized watersheds in South Korea. The interior point optimization algorithm was adopted to ascertain the optimum value of CN and the initial abstraction coefficient (λ). The obtained results show that the CN value ranged from 45 to 90 and the average λ = 0.12 was best suited for Korean watersheds. The estimated confidence intervals were highly significant and strongly recommended for Korean watersheds.

Keywords

initial abstraction interior point optimization NRCS-curve number confidence interval 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Notes

Acknowledgements

This research was supported by grants from the Strategic Research Project (20180374-101) funded by the Korea Institute of Civil Engineering and Building Technology and the Disaster and Safety Management Institute (MOIS-DP-2015-05) funded by Ministry of the Interior and Safety of Korean Government. The corresponding author would like to acknowledge the Higher Education Commission (HEC) of Pakistan and the Government of Pakistan for granting a scholarship to Muhammad Jehanzaib to pursue his PhD degree from Hanyang University, South Korea.

References

  1. Ajmal, M. and Kim, T. W. (2014). “Quantifying excess stormwater using SCS-CN-based rainfall runoff models and different curve number determination methods.” Journal of Irrigation and Drainage Engineering, Vol. 141, No. 3, p. 04014058, DOI:  https://doi.org/10.1061/(ASCE)IR.1943-4774.0000805.CrossRefGoogle Scholar
  2. Ajmal, M., Moon, G. W., Ahn, J. H., and Kim, T. W. (2015). “Investigation of SCS-CN and its inspired modified models for runoff estimation in South Korean watersheds.” Journal of Hydro-environment Research, Vol. 9, No. 4, pp. 592–603, DOI:  https://doi.org/10.1016/j.jher.2014.11.003.CrossRefGoogle Scholar
  3. Baltas, E. A., Dervos, N. A., and Mimikou, M. A. (2007). “Technical note: Determination of the SCS initial abstraction ratio in an experimental watershed in Greece.” Hydrology and Earth System Science, Vol. 11, pp. 1825–1829.CrossRefGoogle Scholar
  4. Banasik, K., Krajewski, A., Sikorska, A., and Hejduk, L. (2014). “Curve number estimation for a small urban catchment from recorded rainfall-runoff events.” Archives of Environmental Protection, Vol. 40, No. 3, pp. 75–86, DOI:  https://doi.org/10.2478/aep-2014-0032.CrossRefGoogle Scholar
  5. Bonta, J. V. (1997). “Determination of watershed curve number using derived distributions.” Journal of Irrigation and Drainage Engineering, Vol. 123, pp. 28–36, DOI:  https://doi.org/10.1061/(ASCE)0733-9437(1997)123:1(28).CrossRefGoogle Scholar
  6. Byrd, R. H., Hribar, M. E., and Nocedal, J. (1999). “An interior point algorithm for large-scale nonlinear programming.” SIAM Journal on Optimization, Vol. 9, No. 4, pp. 877–900, DOI:  https://doi.org/10.1137/S1052623497325107.MathSciNetCrossRefGoogle Scholar
  7. Cazier, D. J. and Hawkins, R. H. (1984). “Regional application of the curve number method. Water today and tomorrow.” Proc., ASCE Irrigation and Drainage Division Special Conf., ASCE, New York, NY, USA.Google Scholar
  8. Chung, W. H., Wang, I. T., and Wang, R. Y. (2010). “Theory-based SCS-CN method and its applications.” Journal of Hydrologic Engineering, Vol. 15, No. 12, pp. 1045–1058, DOI:  https://doi.org/10.1061/(ASCE)HE.1943-5584.0000281.CrossRefGoogle Scholar
  9. D’Asaro, F. and Grillone, G. (2012). “Empirical investigation of curve number method parameters in the Mediterranean area.” Journal of Hydrologic Engineering, Vol. 17, No. 10, pp. 1141–1152, DOI:  https://doi.org/10.1061/(ASCE)HE.1943-5584.0000570.CrossRefGoogle Scholar
  10. Johnson, R. R. (1998). “An investigation of curve number applicability to watersheds in excess of 25,000 hectares (250 km2).” Journal of Environmental Hydrology, Vol. 6, pp. 1–10.Google Scholar
  11. Hawkins, R. H., Ward, T. J., Woodward, W. E., and Van Mullem, J. A. (2009). Curve number hydrology: State of the practice, American Society of Civil Engineers, Reston, VA, USA, DOI:  https://doi.org/10.1061/9780784410042.Google Scholar
  12. Hjelmfelt Jr, A. T. (1991). “Investigation of curve number procedure.” Journal of Hydraulic Engineering, Vol. 117, No. 6, pp. 725–737, DOI:  https://doi.org/10.1061/(ASCE)0733-9429(1991)117:6(725).CrossRefGoogle Scholar
  13. Hjelmfelt Jr, A. T., Kramer Jr, L. A., and Burwell, R. E. (1982). “Curve numbers as random variables.” Proc. Int. Symposium on Rainfall-Runoff Modeling, Water Resources Publishers, Littleton, CO, USA, pp. 365–373.Google Scholar
  14. Kim, N. W., Lee, J. W., Lee, J., and Lee, J. E. (2010). “SWAT application to estimate design runoff curve number for South Korean conditions.” Hydrological Processes, Vol. 24, No. 15, pp. 2156–2170, DOI:  https://doi.org/10.1002/hyp.7638.Google Scholar
  15. McCuen, R. H. (2002). “Approach to confidence interval estimation for curve numbers.” Journal of Hydrologic Engineering, Vol. 7, No. 1, pp. 43–48, DOI:  https://doi.org/10.1061/(ASCE)10840699(2002)7:1(43).CrossRefGoogle Scholar
  16. Mishra, S. K., Pandey, R. P., Jain, M. K., and Singh, V. P. (2008). “A rain duration and modified AMC-dependent SCS-CN procedure for long duration rainfall-runoff events.” Water Resources Management, Vol. 22, No. 7, pp. 861–876, DOI:  https://doi.org/10.1007/s11269-007-9196-6.CrossRefGoogle Scholar
  17. Mishra, S. K. and Singh, V. P. (2013). Soil conservation service curve number (SCS-CN) methodology, Springer Science & Business Media, Berlin, Germany.Google Scholar
  18. Nathan, R. J. and McMahon, T. A. (1990). “Evaluation of automated techniques for base flow and recession analyses.” Water Resources Research, Vol. 26, No. 7, pp. 1465–1473, DOI:  https://doi.org/10.1029/WR026i007p01465.CrossRefGoogle Scholar
  19. Ponce, V. M. and Hawkins, R. H. (1996). “Runoff curve number: Has it reached maturity?” Journal of Hydrologic Engineering, Vol. 1, No. 1, pp. 11–19, DOI:  https://doi.org/10.1061/(ASCE)10840699(1996)1:1(11).CrossRefGoogle Scholar
  20. Soil Conservation Service (1971). “Hydrology.” National Engineering Handbook, U.S. Department of Agriculture, Washington, D.C., USA.Google Scholar
  21. Soulis, K. X. and Valiantzas, J. D. (2012). “Identification of the SCS-CN parameter spatial distribution using rainfall-runoff data in heterogeneous watersheds.” Water Resources Management, Vol. 27, No. 6, pp. 1737–1749, DOI:  https://doi.org/10.1007/s11269-012-0082-5.CrossRefGoogle Scholar
  22. Taguas, E. V., Yuan, Y., Licciardello, F., and Gómez, J. A. (2015). “Curve numbers for olive orchard catchments: Case study in southern Spain.” Journal of Irrigation and Drainage Engineering, Vol. 141, No. 11, pp. 05015003, DOI:  https://doi.org/10.1061/(ASCE)IR.1943-4774.0000892.CrossRefGoogle Scholar
  23. WAMIS (2019). “Water Resources Management Information System.” Han River Flood Control Office, http://www.wamis.go.kr, [Accessed on March 15, 2019].
  24. Woodward, D. E., Hawkins, R. H., Jiang, R., Hjelmfelt, J. A. T., Van Mullem, J. A., and Quan, Q. D. (2003). “Runoff curve number method: Examination of the initial abstraction ratio.” Proc., World Water and Environmental Resources Congress, Philadelphia, PA, USA, pp. 1–10, DOI:  https://doi.org/10.1061/40685(2003)308.
  25. Yuan, Y., Nie, W., McCutcheon, S. C., and Taguas, E. V. (2014). “Initial abstraction and curve numbers for semiarid watersheds in southeastern Arizona.” Hydrological Processes, Vol. 28, No. 3, pp. 774–783, DOI:  https://doi.org/10.1002/hyp.9592.CrossRefGoogle Scholar

Copyright information

© Korean Society of Civil Engineers 2019

Authors and Affiliations

  1. 1.Dept. of Civil and Environmental EngineeringHanyang UniversitySeoulKorea
  2. 2.Dept. of Land, Water and Environment ResearchKorea Institute of Civil Engineering and Building TechnologyGoyangKorea
  3. 3.Dept. of Civil and Environmental EngineeringHanyang UniversityAnsanKorea

Personalised recommendations