Simple Linear Model Essay

2007 Words9 Pages

37 The Simple Linear Model (SLM) The SLM assumes a linear equation describes the conversion of total precipitation and total flow. The model was simply developed for the comparisons of models. When the precipitation and flow are in the same unit, the total of the discrete pulse response ordinates explains the gain factor G of the model as follows: G = ∑_(i=1)^m▒h_i^' .............................................................................3.47 Here, the gain factor (G) is the runoff coefficient and therefore defines the ratio of the total volume of the observed flow to that of the observed precipitation (Shamseldin et al, 1997). The conversion of rainfall to runoff is hardly linear. 38 The MODHYDROLOG Model MODHYDROLOG is a conceptual …show more content…

Clark translated all the flow to the outlet and then made corrections for storage by a single reservoir routing. For a single basin, the Clark model was modified by Dooge in 1959 to give the following equations for the hydrograph peak and its time: Q_p = V/T (1 - e^(-T/K) ).................................................................................3.49 t_p = T ...................................................................................................3.50 Where T is the base of the rectangular inflow and V is the volume of inflow (Singh, 1977). The ‘time’ in the time – area curve refers to the concentration time. In gauged basins, the time of concentration can be easily estimated from known rainfall – runoff data. In ungauged basins, empirical equations similar to those in the Rational method is used (Subramanya, 2002). The method shares the same flaws as the Rational method for PUB and is thus not suitable for the study

More about Simple Linear Model Essay

Open Document