Abstract
For hydrologists, time of concentration (TC) is one of the most important parameters to be able to predict the response of a watershed to a given rain event and plays a key role in rainfall-runoff simulation. There are several methods to calculate the TC. The time of concentration is defined as the time from the hydraulically furthermost point to watershed outlet. In this study, we integrated 22 formulas from various references for calculating time of concentration and selected seven formulas by considering the specific conditions and limitations that are suitable for Shafaroud watershed with an area of 345.4 km2, located in the western Guilan province of northern Iran. They included Ventura, Passini, Bransby-Williams, Carter, Johnstone-Cross, Izzard and Papadakis-Kazan. The TC values obtained from the mentioned methods were applied in HEC-HMS software for the four rainfall events of June 5, 2003; October 20, 2005; December 2, 2007; and June 19, 2008. The results indicated that peak flow values obtained by the Bransby-Williams method are most consistent with the observed peak data values and better presents the hydrologic condition of the watershed.
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References
Abbasi M, Saravi MM, Kheirkhah MM, Sigaroudi SK, Rostamizad G, Hosseini M (2010) Assessment of watershed management activities on time of concentration and curve number using HEC-HMS model (case study: kan watershed, Tehran). J Range Watershed Manag 63(3):375–385
Abustan I, Sulaiman AH, Wahid NA, Baharudin F (2008) Determination of rainfall-runoff characteristics in an urban area: Sungai Kerayong Catchment, Kuala Lumpur.In:11th International conference on urban drainage, Scotland, UK
Anderson ML, Chen ZQ, Kavvas L, Feldman A (2002) Coupling HEC-HMS with atmospheric models for prediction of watershed runoff. J Hydrol Eng 7:312–318
Aron G, Erborge CE (1973) A practical feasibility study of flood peak abatement in urban areas. Report U S Army Corps of Engineers, Sacramento
California Culvert Practice (1955) Department of Public Works, Division of Highways, 2th edition Sacramento
Carter RW (1961) Magnitude and frequency of floods in suburban areas. US Geological Survey Professional Paper 424-B
Chen CN, Wong TSW (1993) Critical rainfall duration for maximum discharge from overland plane. J Hydraul Eng 119(9):1040–1045
Chu X, Steinman A (2009) Event and continuous hydrologic modeling with HEC-HMS. J Irrigation Drain Eng 135(1):119–124
Clay HE, Welty C, Traver RG (2005) Watershed-scale evaluation of a system of storm water detention basins. J Hydrol Eng 10:237–242
De Paola F, Galdiero E, Giugni M, Pugliese F (2015) Sustainable development of storm-water systems in africancities considering climate change. Proced Eng 119:1181–1191
Del Giudice G, Padulano R, Rasulo G (2012) Factors affecting the runoff coefficient. Hydro Earth Syst Sci Discuss 9:4919–4941
Department of Transport and Main Roads (2010) Hydrology. Queensland (Chap.5)
Eagleson PS (1962) Unit hydrograph characteristics for severed areas. Journal of Hydraulics Division, proceedings ASCE 88(HY2)
Efstratiadis A, Koussis AD, Koutsoyiannis D, Mamassis N (2013) Flood design recipes vs. reality: can predictions for ungauged basins be trusted? Nat Hazards Earth Syst Sci Discuss 1:7387–7416
Federal Aviation Administration (FAA) (1970) Circular on airport drainage. Report A/C 050-5320-5B, US. Department of Transportation, Washington DC
Gholami V, Jokar E, Azodi M, Zabardast H, Bashirgonbad M (2009) The influence of anthropogenic activities on intensifying runoff generation and flood hazard in Kasilian watershed. J Appl Sci 9(20):3723–3730
Giandotti M (1934) Previsione delle piene e delle magre dei corsi d’acqua Memorie e studi idrografici,Servizio Idrografico Italiano, Report No 2
Griffiths GA, Mckerchar AI (2008) Dependence of flood peak magnitude on catchment area. J Hydrol N Z 47(2):123–131
Guermond Y (2008) The modeling process in geography. Wiley, New York
Halwatura D, Najjim MMM (2013) Application of the HEC-HMS model for runoff simulation in a tropical catchment. Environ Model Softw 46:155–162
Hathaway GA (1945) Design drain facil. Trans ASCE 110:697–730
Henderson FM, Wooding RA (1964) Overland flow and groundwater flow from a steady rain of finite duration. J Geophys Res 69(8):1531–1540
Izzard CF (1946) Hydraulics of runoff from developed surfaces.In: Proceedings 26th annual meeting highway research board 26:129–146
Johnstone D, Cross WP (1949) Elements of applied hydrology. Ronald, New York
Kabiri R (2014) Simulation of runoff using modified SCS-CN method using GIS system, case study: klang watershed in Malaysia. Res J Environ Sci 8:178–192
Kerby WS (1959) Time of concentration for overland flow. J Civ Eng 26(3):60
Kirpich ZP (1940) Time of concentration of small agricultural watersheds. J Civ Eng 10(6):362
Li MH, Chibber P (2008) Overland flow time of concentration on very flat terrains. Trans Res Rec 2060:133–140
Mark A, Marek PE (2011) Hydraulic design manual. Tex Dep Trans, Design div, Texas
Mockus V (1961) Watershed lag. US Department of Agriculture, Soil Conservation Service, ES–1015, Washington DC
Morgali J, Linsley R (1965) Computer analysis of overland flow. J Hyd Div, Proc ASCE 91(HY3):81–100
Nicklow JW, Boulos PF, Muleta MK (2006) Surface runoff. Comprehensive urban hydrologic modeling. MWH soft, California
Papadakis CN, Kazan MN (1986) Time of concentration in small rural watersheds. Technical Report 101/08/86/CEE. Civil Engineering Department, University of Cincinnati, Ohio
Quaro G (2011) Hydrological report. Hydroeurope
Sharifi S, Hosseini SM (2011) Methodology for identifying the best equations for estimating the time of concentration of watersheds in a particular region. J Irrigation Drain Eng 137(11):712–719
United States Soil Conservation Service (SCS) (1975) Urban hydrology for small watersheds. Technical Release TR55, Washington, DC
United States Soil Conservation Service (SCS) (1986) Urban hydrology for small watersheds. Technical Release TR55, Washington DC, USA
US Natural Resources Conservation Service (NRCS) (1997) Ponds-planning, design construction. In: Agriculture handbook. United States Department of Agriculture (USDA)
US Natural Resources Conservation Service (NRCS) (2010) Time of concentration. In: National engineering handbook hydrology. United States Department of Agriculture (USDA)
Vaze J, Jordan P, Beecham R, Frost A, Summerell G (2012) Guidelines for rainfall-runoff modelling: towards best practice model application. eWater Cooperative Research Centre
Welle PI, Woodward D (1986) Engineering hydrology-time of concentration. Technical note 4, US Department of Agriculture, Soil Conservation Service, Pennsylvania
Williams GB (1922) Flood discharges and the dimensions of spillways in India. Engl (London) 134:321
Wong TSW (2005) Assessment of time of concentration formulas for overland flow. J Irrigation Drain Eng 131(4):383–387
Yen BC, Chow VT (1983) Local Design Storms. US Dept of Transportation, Fed Highway Administration. Report No FHWA-RD-82-063 to 065, Washington DC
Zimmermann ED (2003) A generalization of Clark’s IUH for flatland areas with strong human interventions. J Environ Hydrol 11(2):1–14
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The authors would like to thank Mojtaba Soheili, expert of Iran Water Resources Management Co. for his efforts in data collecting.
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Salimi, E.T., Nohegar, A., Malekian, A. et al. Estimating time of concentration in large watersheds. Paddy Water Environ 15, 123–132 (2017). https://doi.org/10.1007/s10333-016-0534-2
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DOI: https://doi.org/10.1007/s10333-016-0534-2