Abstract
The assumptions of the Muskingum method and the opinions of hydrologists concerning the nature and the range of variability of model parameters are subject to revision. The particular topic of analysis is the interpretation of the parameter x of the Muskingum model. The scope of the present work has been attained by means of: (1) systems approach; (2) matching impulse responses of the Muskingum model and of the linear dynamic wave model; and (3) analysis of the nonlinear storage equation developed for uniform channels with rectangular cross-section under assumption of: (a) common looped rating curve for both the input and output from the reach and (b) linear changes of water table along the reach. It has been proved, that the range of variability of the parameter x reads (−∞,0.5]. The dependence of this parameter upon the physical characteristics of the systems and flow variables has been studied. The length of the characteristic reach for the Muskingum method and corresponding range of values of parameter x have been determined. The influence of the delay existing in the physical system upon the value of parameter x has been studied. Based on the nonlinear storage equation, the dependence of parameters of the Muskingum method upon the inflow and outflow rate has been analysed.
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