CASE STUDIES
Oct 28, 2010

Case Study: Improving Real-Time Stage Forecasting Muskingum Model by Incorporating the Rating Curve Model

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Publication: Journal of Hydrologic Engineering
Volume 16, Issue 6

Abstract

Analysis of forecasts obtained by a forecasting model called STAFOM, a Muskingum-type model for real-time application, shows that the model provides accurate forecast stage estimates for most of the selected case studies and flood events in the Upper-Middle Tiber River basin in central Italy. However, three main issues affected STAFOM: (1) its kinematic nature, (2) the lateral inflows representation, and (3) the occurrence of sudden fluctuations in water levels observed at the ends of the equipped river reach. Therefore, this simple stage forecasting model is hereby improved by incorporating a methodology relating local stage and remote discharge along river channels. This latter procedure, based on the rating curve model (RCM), is capable of reconstructing a discharge hydrograph at a river site where only the stage is monitored, while the discharge is recorded at another section located far away and for which a significant lateral inflow contribution is expected. Application of the new model, named STAFOM-RCM, to several flood events that occurred along four equipped river reaches of the Upper-Middle Tiber River basin, shows that it improves the stage forecast accuracy both in peak and stage hydrograph primarily for long river reaches, thus allowing consideration of a longer forecast lead time; and hence, avoiding the use of the old two-connecting river branch scheme that amplified the fluctuations in observed water levels.

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Acknowledgments

The authors are thankful to Department of Environment, Planning and Infrastructure, Umbria Region, for providing the data.

References

ASCE Task Committee on Definition of Criteria for Evaluation of Watershed Models of the Watershed Management Committee, Irrigation and Drainage Division. (1993). “Criteria for evaluation of watershed models.” J. Irrig. Drain Eng., 119(3), 429–442.
Barbetta, S., Brocca, L., Melone, F., and Moramarco, T. (2008). “On the lateral inflow assessment within a real-time stage monitoring addressed to flood forecasting.” Proc., iEMSs 4th Biennial Meeting: Int. Congress on Environmental Modelling and Software (iEMSs 2008), M. Sànchez-Marrè, J. Bèjar, J. Comas, A. E. Rizzoli, and G. Guariso, eds., Int. Environmental Modelling and Software Society, Barcelona, Catalonia, 438–445.
Chiu, C. L. (1991). “Application of entropy concept in open-channel flow study.” J. Hydrol. Eng., 117(5), 615–628.
Chiu, C. L., and Tung, N. C. (2002). “Maximum velocity and regularities in open-channel flow.” J. Hydrol. Eng., 128(4), 390–398.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw Hill, Columbus, OH.
Daluz Vieira, J. H. (1983). “Conditions governing the use of approximations for the Saint-Venant equations for shallow surface water flow.” J. Hydrol. (Amsterdam), 60(1), 43–58.
Danish Hydrological Institute (DHI). (2003). User’s manual and technical references for MIKE 11 (Version 2003b), Hørsholm, Denmark.
Franchini, M., and Lamberti, P. (1994). “A flood routing Muskingum type simulation and forecasting model based on level data alone.” Water Resour. Res., 30(7), 2183–2196.
Franchini, M., Lamberti, P., and Giammarco, P. D. (1999). “Rating curve estimation using local stages, upstream discharge data and a simplified hydraulic model.” Hydrol. Earth Syst. Sci., 3(4), 541–548.
Fread, D. L. (1990). DAMBRK: The NWS dam-break flood forecasting model, National Weather Service, Office of Hydrology, Silver Spring, MD.
Keefer, T. N., and McQuivey, R. S. (1974). “Multiple linearization flow routing model.” J. Hydraul. Div., 100(7), 1031–1046.
Kitanidis, P. K., and Bras, R. (1980). “Real time forecasting with a conceptual hydrologic model. 2. Applications and results.” Water Resour. Res., 16(6), 1034–1044.
Lamberti, P., and Pilati, S. (1996). “Flood propagation models for real time forecasting.” J. Hydrol. (Amsterdam), 175, 239–266.
McCarthy, G. T. (1938). “The unit hydrograph and flood routing.” Proc. Conf. of the North Atlantic Division of the U.S. Army Corps of Engineers, New London, CT.
Moramarco, T., Barbetta, S., Melone, F., and Singh, V. P. (2005). “Relating local stage and remote discharge with significant lateral inflow.” J. Hydrol. Eng., 10(1), 58–69.
Moramarco, T., Barbetta, S., Melone, F., and Singh, V. P. (2006). “A real-time stage Muskingum forecasting model for a site without rating curve.” Hydrol. Sci. J., 51(1), 66–82.
Moramarco, T., Pandolfo, C., and Singh, V. P. (2008). “Accuracy of kinematic wave and diffusion wave approximations for flood routing. I: Steady analysis.” J. Hydrol. Eng., 13(11), 1078–1088.
Moramarco, T., Saltalippi, C., and Singh, V. P. (2004). “Estimation of mean velocity in natural channels based on Chiu’s velocity distribution equation.” J. Hydrol. Eng., 9(1), 42–50.
Moramarco, T., and Singh, V. P. (2001). “Simple method for relating local stage and remote discharge.” J. Hydrol. Eng., 6(1), 78–81.
Moramarco, T., and Singh, V. P. (2002). “Accuracy of kinematic wave and diffusion wave for spatial-varying rainfall excess over a plane.” Hydrol. Processes, 16, 3419–3435.
Moussa, R., and Bocquillon, C. (1996). “Criteria for the choice of flood routing methods in natural channels.” J. Hydrol. (Amsterdam), 186(1–4), 1–30.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models part I—A discussion of principles.” J. Hydrol. (Amsterdam), 10(3), 282–290.
O’Donnell, T. (1985). “A direct three-parameter Muskingum procedure incorporating lateral inflow.” Hydrol. Sci. J., 30(4), 479–496.
Perumal, M., Moramarco, T., Barbetta, S., Melone, F., and Sahoo, B. (2009b). “Real-time flood forecasting using Muskingum stage-hydrograph routing method.” Water, Environment, Energy and Society, Proc. of WEES-2009, S. K. Jain, V. P. Singh, V. Kumar, R. Kumar, R. D. Singh, and K. D. Sharma, eds, Allied Publishers, New Delhi, India, 2, 735–741.
Perumal, M., Moramarco, T., Sahoo, B., and Barbetta, S. (2007). “A methodology for discharge estimation and rating curve development at ungauged river sites.” Water Resour. Res., 43, W02412.
Perumal, M., Moramarco, T., Sahoo, B., and Barbetta, S. (2010). “On the practical applicability of the VPMS routing method for rating curve development at ungauged river sites.” Water Resour. Res., 46, W03522.
Perumal, M., Sahoo, B., Moramarco, T., and Barbetta, S. (2009a). “Multilinear Muskingum method for stage-hydrograph routing in compound channels.” J. Hydrol. Eng., 14(7), 663–670.
Ponce, V. M., Li, R. M., and Simons, D. B. (1978). “Applicability of kinematic and diffusion models.” J. Hydraul. Div., 104(3), 353–360.
Price, R. K. (2009). “An optimized routing model for flood forecasting.” Water Resour. Res., 45, W02426.
Reed, D. W. (1984). “A review of British flood forecasting practise.” Tech. Rep. No. 90, Institute of Hydrology, Wallingford, UK.
Romanowicz, R. J., Young, P. C., Beven, K. J., and Pappenberger, F. (2008). “A data based mechanistic approach to nonlinear flood routing and adaptive flood level forecasting.” Adv. Water Resour., 31(8), 1048–1056.
Singh, V. P. (1988). Hydrologic systems: Vol. 1. Rainfall-runoff modeling, Prentice Hall, Englewood Cliffs, NJ.
Todini, E. (2007). “A mass conservative and water storage consistent variable parameter Muskingum-Cunge approach.” Hydrol. Earth Syst. Sci., 11(5), 1645–1659.
Todini, E. (2009). “Predictive uncertainty assessment in real time flood forecasting.” Chapter 4, Uncertainties in environmental modelling and consequences for policy making, P. C. Baveye, J. Mysiak, and M. Laba, eds., Springer, Dordrecht, Netherlands, 205–228.
U.S. Army Corps of Engineering (USACE). (2002). “HEC-RAS river analysis system hydraulic reference manual, Version 3.1.” USACE-HEC, 609, Davis, CA.
Xia, R. (1997). “Relation between mean and maximum velocities in a natural channel.” J. Hydrol. Eng., 123(8), 720–723.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 16Issue 6June 2011
Pages: 540 - 557

History

Received: Apr 8, 2010
Accepted: Oct 13, 2010
Published online: Oct 28, 2010
Published in print: Jun 1, 2011

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Authors

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Silvia Barbetta, M.ASCE [email protected]
Researcher, National Research Council, IRPI, Via Madonna Alta 126, 06128 Perugia, Italy (corresponding author). E-mail: [email protected]
Tommaso Moramarco, M.ASCE [email protected]
Researcher, National Research Council, IRPI, Via Madonna Alta 126, 06128 Perugia, Italy. E-mail: [email protected]
Marco Franchini, F.ASCE [email protected]
Professor, Engineering Dept., Univ. of Ferrara, Via Saragat 1, 44122 Ferrara, Italy. E-mail: [email protected]
Florisa Melone, F.ASCE [email protected]
Senior Researcher, National Research Council, IRPI, Via Madonna Alta 126, 06128 Perugia, Italy. E-mail: [email protected]
Luca Brocca, F.ASCE [email protected]
Researcher, National Research Council, IRPI, Via Madonna Alta 126, 06128 Perugia, Italy. E-mail: [email protected]
Vijay P. Singh, F.ASCE [email protected]
Professor and Caroline and William N. Lehrer Distinguished Chair in Water Engineering, Dept. of Biological and Agricultural Engineering, and Dept. of Civil and Environmental Engineering, Texas A & M Univ., College Station, TX 77843-2117. E-mail: [email protected]

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