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Flood Hydrograph with Synthetic Unit Hydrograph Routing

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Abstract

Synthetic unit hydrographs (SUH) based on geomorphology are used as a tool to produce flood hydrographs from rainfall records, especially in ungauged and partially gauged catchments. This study presents a flood hydrograph model formulated on SUH based approach using geomorphologic parameters derived from Survey of India maps and geographical information system (GIS) techniques to simulate basin runoff. It uses linear Muskingum routing model in which the routing parameters are determined from the kinematic approach rather than from runoff data. The model employs the unit hydrograph suggested by Central Water Commission (CWC) India, as the discharge data from the sub-catchments and routes the concurrent discharges generated from them to the watershed outlet, and compared with the unit hydrograph of the lumped catchment. Application of the model is demonstrated by using data of a small watershed in the Mahanadi basin, India. The study indicates the limitations of the CWC unit hydrograph approach both in the small hilly and large plane catchments. It is observed that the CWC unit hydrograph (UH) underestimates the peak discharges both for catchments smaller than 200 km2 with steeper slope and larger than 600 km2 with flatter slope. The study further emphasizes on using two parameter Gamma distribution for preparation of UH curve instead of adopting standard practice of drawing synthetic unit hydrograph using seven known points with approximate curve fitting.

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References

  • Al-Humoud JM, Esen II (2006) Approximate methods for the estimation of Muskingum flood routing parameters. Water Resour Manag 20:979–990

    Article  Google Scholar 

  • Bhunya PK, Mishra SK, Ojha CSP, Berndtsson R (2004) Parameter estimation of beta distribution for unit hydrograph derivation. J Hydrol Eng ASCE 9(4):325–332

    Article  Google Scholar 

  • Bhunya PK, Berndtsson R, Ojha CSP, Mishra SK (2007) Suitability of gamma, chi-square, Weibull, and beta distributions as synthetic unit hydrographs. J Hydrol 334:28–38

    Article  Google Scholar 

  • Bhunya PK, Berndtsson R, Singh PK, Hubert P (2008) Comparison between Weibull and Gamma distributions to derive synthetic unit hydrograph using Horton ratios. Water Resour Res 44:1–17

    Google Scholar 

  • Birkhead AL, James CS (1997) Synthesis of rating curves from local stage and remote discharge monitoring using nonlinear Muskingum routing. J Hydrol 205:52–65

    Article  Google Scholar 

  • Central Water Commission (1997) Flood estimation report for Mahanadi sub-zone—3(d) (Revised), New Delhi

  • Chang CN, Singer EDM, Koussis AD (1983) On the mathematics of storage routing. J Hydrol 61:357–370

    Article  Google Scholar 

  • Choudhury P (2007) Multiple inflows Muskingum routing model. J Hydrol Eng ASCE 12:473–481

    Article  Google Scholar 

  • Choudhury P, Shrivastava RK, Narulkar SM (2002) Flood routing in river networks using equivalent Muskingum inflow. J Hydrol Eng ASCE 7(6):413–419

    Article  Google Scholar 

  • Chow VT (1964) Hand book of applied hydrology. McGraw-Hill, New York

    Google Scholar 

  • Cunge JA (1969) On the subject of flood propagation computation method (Muskingum method). J Hydraul Res 7(2):205–230

    Article  Google Scholar 

  • Dooge JCI (1959) A general theory of the unit hydrograph. J Geophys Res 64:241–256

    Article  Google Scholar 

  • Dooge JCI (1973) Linear theory of hydrologic system. US Dep Agric Res Serv Tech Bull No. 1468

  • Espey WH Jr, Winslow DE (1974) Urban flood frequency characteristics. Proc ASCE 100 HY2 100:179–293

    Google Scholar 

  • Gelegenis JJ, Serrano SE (2000) Analysis of Muskingum equation based on flood routing schemes. J Hydraul Eng ASCE 5(1):102–105

    Article  Google Scholar 

  • Gill MA (1978) Flood routing by Muskingum method. J Hydrol 36:353–363

    Article  Google Scholar 

  • Gill MA (1979) Critical examination of the Muskingum method. Nord Hydrol 10:261–270

    Google Scholar 

  • Gray DM (1964) Synthetic hydrographs for small drainage areas. Proc ASCE 87 HY4:33–54

  • Haktanir T, Sezen N (1990) Suitability of two-parameter gamma distribution and three-parameter beta distribution as synthetic hydrographs in Anatolia. Hydrol Sci J 35(2):167–184

  • Jena SK, Tiwari KN (2006) Modeling synthetic unit hydrograph parameters with geomorphologic parameters of watersheds. J Hydrol 319(14):1–14

    Article  Google Scholar 

  • Koegelenberg FH, Lategang MT, Mulder DJ, Reinders FB, Stimie CM, Viljoen PD (1997) Irrigation design manual, ch-7. Institute of Agriculture Engineering, Silverton, RSA, pp 1–26

    Google Scholar 

  • Linsley RK, Kohler MA, Paulhus JLH (1975) Hydrology for engineers, 2nd edn. McGraw Hill, New York

    Google Scholar 

  • McCarty GT (1938) The unit hydrograph and flood routing. US Army Corps of Engineers, Proceeding of conference of North Atlantic Division. US Engineers Office, USA

    Google Scholar 

  • McCuen RH (1998) Hydrologic analysis and design, 2nd edn. Prentice Hall, New Jersey

    Google Scholar 

  • Nash J (1959) Synthetic determination of unit hydrograph parameters. J Geophys Res 64(1):111–115

    Article  Google Scholar 

  • NERC (1975) Flood routing studies. Report no. V-III. Natural Environment Research Council, London

    Google Scholar 

  • O’Donnell T (1985) A direct three-parameter Muskingum procedure incorporating lateral inflow. Hydrol Sci J 30(4):479–496

    Article  Google Scholar 

  • Perumal M, Moramarco T, Sahoo B, Barbetta S (2007) A methodology for discharge estimation and rating curve development at ungauged river sites. Water Resour Res 43(2):1–22

    Google Scholar 

  • Punmia BC, Pande BBL (1981) Irrigation and water power engineering. Standard Publishers Distributors, Delhi

    Google Scholar 

  • Rodriguez-Iturbe I, Valdes JB (1979) The geomorphologic structure of hydrologic response. Water Resour Res 15(6):1409–1420

    Article  Google Scholar 

  • Rosso R (1984) Nash model relations to Horton ratios. Water Resour Res 20(7):914–920

    Article  Google Scholar 

  • Sadeghi SH, Singh JK (2010) Derivation of flood hydrographs for ungauged upstream subwatersheds using main outlet hydrograph. J Hydrol Eng 15:1059–1069

    Article  Google Scholar 

  • SCS (2002) Design of hydrograph. US Department of Agriculture, Washington DC

    Google Scholar 

  • Sherman LK (1932) Streamflow from rainfall by the unit hydrograph method. Eng News Rec 108:501–505

    Google Scholar 

  • Snyder FF (1938) Synthetic unit hydrographs. Trans Am Geophys Union 19:447–454

  • Subramanya K (2000) Engineering hydrology, 2nd edn. McGraw-Hill, New Delhi

    Google Scholar 

  • Taylor AB, Schwarz HE (1952) Unit hydrograph lag and peak flow related to basin characteristics. Trans Am Geophys Union 33:235–246

    Article  Google Scholar 

  • Tewolde MH (2005) Flood routing in ungauged catchments using Muskingum methods. University of KwaZulu-Natal, Dissertation

    Google Scholar 

  • Viessman W, Knapp JW, Lewis GL (1989) Introduction to hydrology. Harper and Row Publishers, New York, pp 149–355

    Google Scholar 

  • Wilson EM (1990) Engineering hydrology. McMillan, Hongkong

    Google Scholar 

  • Yoon J, Padmanabhan G (1993) Parameter estimation of linear and nonlinear Muskingum models. J Water Resour Plan Manag 119(5):600–610

    Article  Google Scholar 

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Authors and Affiliations

  1. SOA University, Bhubaneswar, Odisha, India, 751030

    M. K. Bhuyan

  2. National Institute of Hydrology, Roorkee, Uttarakhand, India, 247667

    Sanjay Kumar

  3. ITER, SOA University, Bhubaneswar, Odisha, India, 751030

    Joygopal Jena

  4. KIIT University, Bhubaneswar, Odisha, India, 751024

    P. K. Bhunya

Authors
  1. M. K. Bhuyan
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  2. Sanjay Kumar
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  3. Joygopal Jena
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  4. P. K. Bhunya
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Correspondence to M. K. Bhuyan.

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Bhuyan, M.K., Kumar, S., Jena, J. et al. Flood Hydrograph with Synthetic Unit Hydrograph Routing. Water Resour Manage 29, 5765–5782 (2015). https://doi.org/10.1007/s11269-015-1145-1

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