Time Base as an Invertible Function of the Parameters of Gamma Unit Hydrograph
Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 6
Abstract
Analytical but approximate invertible equations for time base of gamma unit hydrographs or unit kernel hydrograph (UKH), which are applicable to all catchments, are derived in terms of the parameters of the unit hydrograph. The time base has been linked to the time to peak and lag time for the gamma UKH. The gamma UKH is redefined taking the time base and time to peak as parameters, as these parameters are physically more conceivable than the conventional parameters. The widely used National Resource Conservation Service empirical equations for the time base are found not applicable to all catchments. The proposed equations can also be used for determining the conventional parameters from the known values of the time base and time to peak or lag time. Using the proposed equations for time to peak and time base, the gamma UKH is fitted to few published storm events considering the time base as a parameter.
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References
Aron, G., and White, E. L. (1982). “Fitting a gamma distribution over a synthetic unit hydrographs.” Water Resour. Bull., 18(1), 95–98.
Corley, T. E., II. (1980). “Gamma synthetic hydrographs.” J. Hydrol., 47, 41–52.
Diskin, M. H., and Boneh, A. (1975). “Determination of an optimal IUH for linear, time invariant systems from multi-storm records.” J. Hydrol., 24, 57–76.
Nash, J. E. (1960). “A unit hydrograph study with particular reference to British catchments.” Proc.-Inst. Civ. Eng., 17, 249–282.
National Resource Conservation Service (NRCS). (1972). National engineering handbook, Sect. 4, Hydrology, NRCS, USDA, Washington, D.C.
Singh, S. K. (2000). “Transmuting synthetic unit hydrographs into gamma distribution.” J. Hydrol. Eng., 5(4), 380–385.
Singh, S. K. (2001). “Identifying impervious boundary and aquifer parameters from pump-test data.” J. Hydraul. Eng., 127(4), 280–285.
Singh, S. K. (2004). “Simplified use of gamma-distribution/Nash model for runoff modeling.” J. Hydrol. Eng., 9(3), 240–243.
Singh, S. K. (2005). “Clark’s and Espey’s unit hydrographs vs the gamma unit hydrograph.” Hydrol. Sci. J., 50(6), 1053–1068.
Singh, S. K. (2006). “Optimal instantaneous unit hydrograph from multi-storm data.” J. Irrig. Drain. Eng., 132(3), 298–302.
Singh, S. K. (2007). “Use of gamma distribution/Nash model further simplified for runoff modeling.” J. Hydrol. Eng., 12(2), 222–224.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 6 • December 2009
Pages: 802 - 805
Copyright
© 2009 ASCE.
History
Received: Jun 10, 2008
Accepted: Apr 9, 2009
Published online: Nov 13, 2009
Published in print: Dec 2009
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