» Research Note « Linear Muskingum Flood Routing Method in Branched Rivers Using Genetic Algorithm Optimization Technique

Document Type : Technical Note

Authors

1 Professor, Civil Engineering Department, Faculty of Engineering, Shahid Chamran University

2 Assistant Professor, Civil Engineering Department, Faculty of Engineering, Shahid Chamran University

3 Graduate Student, Civil Engineering Department, Faculty of Engineering, Shahid Chamran University

Abstract

Flood routing is considered to be one of the most significant issues in many water engineering projects. Hydraulic flood routing methods particularly in branched rivers and rivers with unknown intermediate basin are commonly used because of their high accuracy compared to hydrologic methods. These methods need providing cross sections and bed slopes at all reaches of the flow path which requires a lot of time and budget. On the other hand, hydrologic methods such as the Muskingum method are very simple and require much less data and time. The Muskingum method is one of the common hydrologic flood routing methods of rivers. In order to apply this method for a certain reach, two basic parameters have to be determined. These parameters are functions of the river specifications and usually are estimated by using trial and error combined with a curve fitting technique. The method is quite simple but it is restricted to single reach problems. In this study, a method is proposed in which the calibration (parameter estimation) is performed by using the genetic algorithm, which is capable of solving complicated problems including more parameters. The proposed method is applied for single and multiple reach problems in addition to a river with lacking data of the intermediate catchment hydrograph. In all applications, comparisons of observed and computed outflow hydrographs indicate satisfactory agreements.

Keywords

References

Birkhead, A.L. and James, C.S. (2002). "Muskingum river routing with dynamic bank storage", Journal of Hydrology, Vol. 264, pp. 113-132.
Chaudhry, p., Shrivastava, R.K., and Narulkar, S.M. (2002). "Flood routing in river networks using equivalent Muskingum inflow", Journal of Hydrologic Engineering, ASCE, Vol. 7, No. 6, pp. 413-419.
Chen, J., and Yang, X. (2007). "Optimal parameter estimation for Muskingum model based on gray-encoded accelerating genetic algorithm", Communications in Nonlinear Science and Numerical Simulation, Vol. 12, pp. 849-858.
Das, A. (2004). "Parameter estimation for Muskingum models", Journal of Irrigation and Drainage Engineering, ASCE, Vol. 130, No. 2, pp. 140-147.
MATLAB 7.8.0 (R2009a) software.
Mohan, S. (1997). "Parameter estimation of nonlinear Muskingum models using genetic algorithm", Journal of Hydraulic Engineering, ASCE, Vol. 123, No. 3, pp. 137-142.
Ping, F., and Xiafang, R. (1999). "Method of flood routing for multibranch rivers", Jornal of Hydraulic Engineering, ASCE, Vol. 125, No. 3, pp. 271-276.
Premual, M. (1994). "Hydrodynamic derivation of a variable parameter Muskingum method: 1. theory and solution procedure", Hydrological Sciences Journal Oxford, U.K., Vol. 39, No. 5, pp. 431-441.
Perumal, M. (1994). "Hydrodynamic derivation of a variable parameter Muskingum method: 2. verification", Hydrological Sciences Journal Vol. 39, No. 5, pp. 431-441.
 Premual, M., O’Donnell, P.E., and Ranga Raju, K.G. (2001). "Field application of a variable parameter Muskingum-Cunge method", Journal of Hydrologic Engineering, ASCE, Vol. 6, No. 3, pp. 196-207.
 
Premual, M., and Ranga Raju, K.G. (1998). "Variable – parameter stage – hydrograph routing method: I Theory", Journal of Hydrologic Engineering, ASCE, Vol. 3, No. 2, pp. 109-114.
Premual, M., and Ranga Raju, K.G. (1998). "Variable-parameter stage-hydrograph routing method: " Evaluation, Journal of Hydrologic Engineering, ASCE, Vol. 3, No. 2, pp. 115-121.
Samani, H.M.V., and Jebelifard, S. (2003). "Design of circular urban storm sewer systems using multilinear Muskingum flow routing method", Journal of Hydraulic Engineering, ASCE, Vol. 129, No. 11, pp. 832-838.
Samani, H.M.V., and Shamsipour, G.A. (2004). "Hydrologic flood routing in branched river systems via nonlinear optimization", Journal of Hydraulic Research, Vol. 42, No. 1, pp. 55-59.
Tung, Y.K. (1985). "River flood routing by nonlinear Muskingum method", Journal of Hydraulic Engineering, ASCE , Vol. 111, No. 12, pp. 1447-1460.
Viessman, W.R., Lewis, G.L., and Knapp, J.W. (1989). "Introduction to Hydrology", Third Edition, Harper and Row, New York.
Wang, G.-T., and Singh, V.P. (1992). "Muskingum method with variable parameters for flood routing in channels", Journal of Hydrology, ASCE, Vol. 134, pp. 57-76.

Files

History

  • Receive Date: 16 December 2014
  • Accept Date: 16 December 2014

Share

How to cite

Statistics