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Flood Inundation Modeling Using Nakagami-m Distribution Based GIUH for a Partially Gauged Catchment

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Abstract

Flood inundation extent is highly dependent on intensive rainfall and topography of floodplain. This paper presents a study to develop a flood inundation model for partially gauged upper Ganga catchment. For design flood computations, 100-year return period of 1 h duration rainfall is adopted. This is obtained by intensity duration frequency (IDF) relationship based on Self Recording Rain Gauge (SRRG) data of the study area. The SCS-CN method is used for rainfall excess computations. The Nakagami-m distribution has been used to compute Geomorphological Instantaneous Unit Hydrograph (GIUH) of different sub-catchments of upper Ganga river system because of non-availability of observed hydrograph. Routing of the hydrograph has been done by the Kinematic Wave (KW) approach. KW equations have been solved through Preissmann implicit method. The most sensitive KW parameters (i.e. overland roughness and channel roughness) have been estimated for a stretch on river Bhagirathi, a tributary of river Ganga. Nakagami-m distribution based GIUHs have been fed at the upper (i.e. input to the proposed model) as well as at downstream point (i.e. output to the proposed model) of that river stretch. Consequently, KW parameters have been calibrated by comparing the computed hydrograph with output hydrograph. Validation of estimated KW parameters has been carried out in the catchment of river Alaknanda which is another significant tributary of river Ganga. Thereafter, adopted KW parameters have been applied to calculate the design flood peak at the outlet of study area i.e. downstream of Haridwar city. Computations of overtopping water above the natural levees downstream of Haridwar city have been carried out considering the levee as broad crested weir. Topographic features of the floodplain have been obtained from freely available Shuttle Radar Topography Mission (SRTM) data. Finally, extents of submerged areas in different flood hours corresponding to design rainfall have been developed by ArcGIS 9.2 software.

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References

  • Adrien NG (2003) Computational hydraulics and hydrology: an illustrated dictionary. CRC Press, London

    Book  Google Scholar 

  • Bates PD, De Roo APJ (2000) A simple raster-based model for flood inundation simulation. J Hydrol 236:54–77

    Article  Google Scholar 

  • Borah DK (1989) Runoff simulation for small catchments. Trans ASAE 32(3):881–886

    Google Scholar 

  • Bos MG (1989) Discharge measurement structure. International Institute for Land Reclamation and Improvement, Wageningen, The Netherlands

    Google Scholar 

  • Bren LJ, Turner AK (1978) Wave propagation in steep rough mountain streams. J Hyd Div ASCE 104(HY5):745–754

    Google Scholar 

  • Chaudhry MH (1993) Open channel flow. Prentice Hall, USA

    Google Scholar 

  • Chen L, Liu QQ, Li JC (2001) Study on the runoff generation process on the slope with numerical model. Journal of Sediment Research 4:61–68, in Chinese

    Google Scholar 

  • Chen J, Hill AA, Urbano LD (2009) A GIS-based model for urban flood inundation. J Hydrol 373(1–2):184–192

    Article  Google Scholar 

  • Cunge JA, Bertheir P (1962) Digital Computers and hydroelectric design problems, Water Power.

  • Cunge JA, Wegner M (1964) Intègration numèrique des èquations d’ecoulement de Barrè de Saint Venant per un schema implicite de differences finites. La Houille Blanche 1:33–39

    Article  Google Scholar 

  • DeVries JJ, MacArthur RC (1979) Introduction and application of kinematic wave routing techniques using HEC-1, training document No. 10, U.S. army corps of engineers.

  • Field WG (1982) Kinematic wave theory of catchment response with storage. J Hydro 55:279–301

    Article  Google Scholar 

  • Freeze RA (1978) Mathematical models of hillslope hydrology. In: Kirkby MJ (ed) hillslope hydrology. Wiley Interscience, New York, pp 177–225

    Google Scholar 

  • Gaur ML (1999) Modeling of Surface runoff from natural watersheds with varied roughness. A PhD thesis submitted to Department of Hydrology, University of Roorkee, Roorkee, India

    Google Scholar 

  • Gaur ML, Mathur BS (2003) Modeling event-based temporal variability of flow resistance coefficient. J Hydrol Engrg, ASCE 8(5):266–277

    Article  Google Scholar 

  • GLCF (2008), Earth Science data interface, available at http://glcfapp. umiacs. umd. edu: 8080/esdi/index.jsp

  • Govt. of Uttar Pradesh (1983) Report on Tehri Dam project, vol 1. Tehri Dam Organisation, Dehradun, India

    Google Scholar 

  • Green WH, Ampt GA (1911) Studies in soil physics. I. The flow of air and water through soils. J Agr Sci 4(1):1–24

    Article  Google Scholar 

  • Gupta VK, Waymire E (1983) On the formulation of an analytical approach to hydrologic response and similarity at the basin scale. J Hydrol 65:95–123

    Article  Google Scholar 

  • Gupta VK, Waymire E, Wang CT (1980) Representation of an instantaneous unit hydrograph from geomorphology. Water Resource Res 16(5):855–862

    Article  Google Scholar 

  • Horritt MS, Bates PD (2002) Evaluation of 1D and 2D numerical models for predicting river flood inundation. J Hydrol 268:87–99

    Article  Google Scholar 

  • Horton RE (1937) Hydrologic interrelations of water and soils. Soil Sci Soc Proc 1:401–429

    Article  Google Scholar 

  • Horton RE (1939) Analysis of runoff plat experiments with varying infiltration capacity. Trans Am Geophys Union 20:693–711

    Google Scholar 

  • Horton RE (1945) Erosional development of streams and their drainage basins, a hydrophysical approach to quantitative morphology. Geological Society of America Bulletin 56(3):275–370

    Article  Google Scholar 

  • Hossain M (1989) Application of kinematic wave theory to small watershed. Ph.D. thesis submitted to Department of Hydrology, University of Roorkee, Roorkee, India

    Google Scholar 

  • Hromadka TV, DeVries JJ (1988) Kinematic wave and computational error. J Hyd Div ASCE 114(2):207–217

    Article  Google Scholar 

  • Jain SK, Saraf AK, Goswami A, Ahmad T (2006) Flood inundation mapping using NOAA AVHRR data. Water Resour Manage 20(6):949–959

    Article  Google Scholar 

  • Jarvis A, Reuter HI, Nelson A, Guevara E (2008) Hole-filled seamless SRTM data V4, International Centre for Tropical Agriculture (CIAT), available from http://srtm.csi.cgiar.org.

  • Joshi VK (2008) Natural disasters a concern for security, http://www. boloji. com/environment/41.htm

  • Lee KT, Yen BC (1997) A geomorphology and kinematic-wavebased hydrograph derivation. J Hydraulic Engng, ASCE 123(1):73–80

    Article  Google Scholar 

  • Lighthill MJ, Witham GB (1955) On kinematic waves 1: Flood movement in long rivers. Proceedings of the Royal Society A229:281–316

    Google Scholar 

  • Liu YB, Gebremeskel S, De Smedt F, Hoffmann L, Pfister L (2003) A diffusive transport approach for flow routing in GIS-based flood modeling. J Hydrol 283:91–106

    Article  Google Scholar 

  • Mahmood K, Yevjevich V (1975) Unsteady flow in open channel, 1. Water Resources Publications, Colorado, USA

    Google Scholar 

  • Maidment DR (1993a) Developing a spatially distributed unit hydrograph by using GIS. In: Dovar K, Natchnebel HP (eds) Application of geographic information systems in hydrology and water resources. Proceedings of the Vienna Conference, Vienna, Int. Assoc. of Hydrological Sci., pp 181–192

    Google Scholar 

  • Maidment DR (1993b) Handbook of hydrology. McGrawHill Inc., New York

    Google Scholar 

  • Mailpalli DR, Wallender WW, Singh R, Raghuwanshi NS (2009) Application of a nonstandard explicit integration to solve Green and Ampt infiltration equation, J. Hydrologic Engineering 14(2):203–206

    Article  Google Scholar 

  • Ministry of Defence, Govt. of India, (2007) http://mod.nic.in/ assistcivilauth/welcome.html

  • Morris EM (1979) The effect of small-slope approximation and lower boundary conditions of the Saint Venant equation. J of Hydro 10:31–47

    Article  Google Scholar 

  • Morris EM, Woolhiser DA (1980) Unsteady one dimensional flow over a plane: Partial equilibrium and recession hydrograph. J Water Res 16(2):355–360

    Article  Google Scholar 

  • Mosqueera-Machado S, Ahmad S (2007) Flood hazard assessment of Atrato River in Colombia. Water Resour Manage 21(3):591–609

    Article  Google Scholar 

  • Olivera F, Maidment DR (1999) Geographic information system (GIS)-based spatially distributed model for runoff routing. Water Resour Res 35(4):1155–1164

    Article  Google Scholar 

  • Overton DE, Meadows ME (1976) Storm Water Modeling Academic Press, New York.

  • Penning-Rowsell EC, Tunstall SM (1996) Risks and resources: defining and managing the floodplain. In: Anderson MG, Walling DE, Bates PD (eds) Floodplain processes. Wiley, Chichester, pp 493–533

    Google Scholar 

  • Philip JR (1957) The theory of infiltration: 1. The infiltration equation and its solution. Soil Science 83:345–357

    Article  Google Scholar 

  • Philip JR (1969) Theory of infiltration, Advances in Hydroscience, pp. 215–296.

  • Ponce VM (1989) Engineering hydrology, principles and practices. Prentice-Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • Ponce VM, Hawkins RH (1996) Runoff curve number: Has it reached maturity? J Hydrol Eng ASCE 1(1):11–19

    Article  Google Scholar 

  • Ponce VM, Li RM, Simons DB (1978) Applicability of kinematic and diffusion models. J Hyd Div Proc ASCE 104:353–360

    Google Scholar 

  • Preissmann A (1960) Propagation des intumescences dans les canaux et rivières, 1st congrès de ĺAssoc. Francaise de Calcul, Grenoble, printed 1961:433–442

    Google Scholar 

  • Preissmann A, Cunge JA (1961) Calcul des instrumescences sur machines èlectroniques. IX meeting of the IAHR, Dubrovnik

    Google Scholar 

  • Rai RK (2010) Hydrological Modeling of Small Watershed. LAP Lambert Academic Publishing, Germany.

  • Reddy KV, Eldho TI, Rao EP, Hengade N (2007) A kinematic-wave-based distributed catchment model using FEM, GIS and remotely sensed data. Hydrol Process Wiley Inter Science 21:2765–2777

    Article  Google Scholar 

  • Reuter HI, Nelson A, Jarvis A (2007) An evaluation of void filling interpolation methods for SRTM data. International Journal of Geographic Information Science 21(9):983–1008

    Article  Google Scholar 

  • Rinaldo A, Marani A, Rigon R (1991) Geomorphological dispersion. Water Resour Res 27(4):513–525

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Sadrolashrafi SS, Thamer AM, Ahmad R, Majid BM, Majid KK, Amir S (2008) Integrated modeling for flood hazard mapping using watershed modeling system. American J Engg Appl Sci 1:149–156

    Article  Google Scholar 

  • Sarkar S, Goel NK, Mathur BS (2009a) Adequacy of Nakagami-m distribution function to derive GIUH. Journal of Hydrologic Engineering ASCE 14(10):1070–1079

    Article  Google Scholar 

  • Sarkar S, Goel NK, Mathur BS (2009)Development of Isopluvial Map using L-Moment Approach for Tehri-Garhwal Himalaya. Journal of Stochastic Environmental Research & Risk Assessment (SERRA), Springer, DOI: 10.1007/s00477-009-0330-2

  • Sarkar S, Goel NK, Mathur BS (2010) Performance investigation of Nakagami-m Distribution to derive flood hydrograph by genetic algorithm optimization approach. Journal of Hydrologic Engineering, ASCE (Accepted)

  • SCS (1956, 1964, 1971, 1985, 1993) Hydrology—National Engineering Handbook, Supplement A, Section 4, Chapter 10, Soil Conservation Service, USDA, Washington, D.C.

  • SCS (1972) Hydrology, Sec. 4 of national engineering handbook, soil conservation service. U. S. Department of Agriculture, Washington, D.C

    Google Scholar 

  • SCS (1986) Urban hydrology for small watersheds, Tech. Release No. 55, Soil Conservation Service. USDA, Washington DC

    Google Scholar 

  • Singh S (1995) Urbanization in Garhwal Himalaya: A Geographical Interpretation, Published by M.D. Publications Pvt. Ltd.

  • Singh VP (1996) Kinematic wave modeling in water resources: surface water hydrology. Wiley, New York

    Google Scholar 

  • Singh VP, Woolhiser DA (1976) A non-linear kinematic wave model for water surface runoff. J Hydrology 31:241–243

    Article  Google Scholar 

  • Snell JD, Sivapalan M (1994) On geomorphological dispersion in natural catchments and the geomorphological unit hydrograph. Water Resour Res 30(7):2311–2323

    Article  Google Scholar 

  • Strum TW (2001) Open channel hydraulics. McGraw-Hill Book Co., New York, NY

    Google Scholar 

  • Tsai CW (2003) Applicability of kinematic, noninertia, and quasi-steady dynamic wave models to unsteady flow routing. J Hydraul Eng 129(8):613–627

    Article  Google Scholar 

  • Van Der Tak LD, Bras RL (1990) Incorporating hillslope effects into the geomorphological instantaneous unite hydrograph. Water Resour Res 26(1):2393–2400

    Article  Google Scholar 

  • Veeresh (2007), To Rishikesh- route to the Ganga, http://www.rediff.com/travel/1999/apr/21rish.htm

  • Vieira JHD (1983) Condition governing the use of Approximations for the saint venant Equations for Shallow water flow. J Hydro Engrg ASCE 60:40–58

    Google Scholar 

  • Willgoose G, Kuczera G (1995) Estimation of subgrid scale kinematic wave parameters for hillslopes. Hydrol Process 9:469–482

    Article  Google Scholar 

  • Woodling RA (1965) A hydraulic model for catchment system problem. (a) I-Kinematic wave theory; (b) II- Numerical solution. J Hydrology 3(3):254–282

    Article  Google Scholar 

  • Woolhiser DA, Liggett JA (1967) Unsteady one dimensional flow over a plane – The rising hydrograph. Water Resources Research 3(3):753–771

    Article  Google Scholar 

  • Yomota A, Islam MN (1992) Kinematic analysis of flood runoff for a small-scale upland field. J Hydrology 137(1–4):311–326

    Google Scholar 

  • Zhan X, Huang M (2004) ArcCN-Runoff: an ArcGIS tool for generating curve number and runoff maps. Environmental Modelling & Software. Elsevier 19:875–879

    Google Scholar 

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Acknowledgements

The authors wish to thank Dr. N. K. Goel, Professor, Dr. B. S. Mathur, Retd. Professor, Department of Hydrology, IIT Roorkee, India, Dr. Aniruddha Chandra, Assistant Professor, Department of Electronics, NIT Durgapur, India, Mr. Biswa Mohan Goswami, Superintending Engineer (Civil), DVC, West Bengal, Dr. Mizanur Rahman, Executive Engineer, Bangladesh Water Development Board, and Mr. Neeraj Agrawal, Sr. Engineer, THDC, for their constructive suggestions to improve the quality of the paper.

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  1. Mechanical Engineering Department, North Eastern Regional Institute of Science and Technology (Deemed University), Nirjuli, Itanagar, Arunachal Pradesh, 791109, India

    S. Sarkar

  2. Principal Water Resources Engineer, DHI (India) Water & Environment Pvt Ltd, III rd Floor, NSIC-STP Building, Okhla Industrial Estate Phase III, New Delhi, 110 020, India

    R. K. Rai

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Sarkar, S., Rai, R.K. Flood Inundation Modeling Using Nakagami-m Distribution Based GIUH for a Partially Gauged Catchment. Water Resour Manage 25, 3805–3835 (2011). https://doi.org/10.1007/s11269-011-9890-2

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