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Approximate Methods for the Estimation of Muskingum Flood Routing Parameters

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Abstract

There are a variety of techniques for estimating the parameters x and K of the Muskingum method of flood routing. One common difficulty in all the approaches is that different storm sequences along the same river reach would typically yield different parameter estimates. The a statistical analysis of these parameters also shows that they are highly variable. As a result achieving of a high level accuracy may not be the principle issue in describing x and K. This paper presents two approximate methods for estimating these parameters rather easily. The first method requires the computation of the slopes of the inflow and outflow hydrographs at their point of intersection, and the computation of the maximum storage within the reach. The second method requires the computation of the inflow and outflow hydrographs at two specific points. Three case studies investigated show that the first method gives estimates for the Muskingum parameters comparable to those derived by traditional estimation procedures for hydrographs showing linear characteristics.

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References

  • Abdulla, S. A. S., 1983, Flood Routing Using Muskingum Method. Unpublished Project Report Supervised by M.S. Hantush, Department of Civil Engineering, Kuwait University, Kuwait.

    Google Scholar 

  • Bedient, P. B. and Huber, W. C., 1992, Hydrology and Flood Plain Analysis, 2nd edition, Addison-Wesley, New York.

    Google Scholar 

  • Draper, N. R. and Smith, H., 1981, Applied Regression Analysis, 2nd ed. John Wiley, New York.

    Google Scholar 

  • Gill, M. A., 1978, ‘Flood routing by the muskingum method’, Journal of Hydrology 30, 47–61.

    Google Scholar 

  • HEC-HMS, 2001, U.S. Army Corps of Engineers, Hydrologic Engineering Center, Davis, California, USA.

    Google Scholar 

  • Linsley, R. K. and Franzini, J. B., 1972, Water-Resources Engineering, 2nd ed. McGraw-Hill, New York.

    Google Scholar 

  • McCarthy, G. T., 1938, The Unit Hydrograph and Flood Routing, Presented at Conf. North Atlantic Div., U.S. Army Corps Eng. (unpublished).

  • Mohan, S., 1997, ‘Parameter estimation of nonlinear Muskingum models using genetic algorithm’, J. Hydraul. Eng. ASCE 123(2), 137–142.

    Article  Google Scholar 

  • Quimpo, R. G., 1992, Hydrology and hydraulics, Department of Civil Engineering, University of Pittsburgh, Pittsburgh.

    Google Scholar 

  • Singh, V. P. and McCann, R. C., 1980, ‘Some notes on Muskingum method of flood routing’, Journal of Hydrology 48, 343–361.

    Article  Google Scholar 

  • Stephenson, D., 1979, ‘Direct optimization of Muskingum routing coefficients’, J. Hydrol. 36, 353–363.

    Google Scholar 

  • Tung, Y. K., 1984, ‘River flood routing by nonlinear Muskingum method’, ASCE J. Hydraul. Div. 111(12), 1447–1460.

    Article  Google Scholar 

  • Viessman, Jr., W. and Lewis, G. L., 2003, Introduction to Hydrology, Pearson Education, Inc., Upper Saddle River, New Jersey, USA.

  • Wanielista, M., 1990, Hydrology and Water Quantity Control, John Wiley and Sons, New York.

    Google Scholar 

  • Wang, G. T. and Singh, V.P., 1992, ‘Muskingum method with variable parameters for flood routing in channels’, J. Hydrol. 134, 57–76.

    Article  Google Scholar 

  • Wilson, E.M., 1974, Engineering Hydrology, MacMillan Education Ltd., Hampshire, U.K.

    Google Scholar 

  • Wu, Jy. S., King, E. L. and Wang, M., 1985, ‘Optimal identification of Muskingum routing coefficients’, Water Resour. Bull. 21(3), 417–421.

    Google Scholar 

  • Yoon, J. and Padmanabhan, G., 1993, ‘Parameter estimation of linear and nonlinear Muskingum models’, Journal of Water Resources Planning and Management, ASCE 119(5), 600–610.

    Article  Google Scholar 

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Correspondence to Jasem M. Al-Humoud.

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Al-Humoud, J.M., Esen, I.I. Approximate Methods for the Estimation of Muskingum Flood Routing Parameters. Water Resour Manage 20, 979–990 (2006). https://doi.org/10.1007/s11269-006-9018-2

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  • DOI: https://doi.org/10.1007/s11269-006-9018-2

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