OPTIMAL PARAMETER-ESTIMATION FOR MUSKINGUM ROUTING WITH UNGAUGED LATERAL INFLOW

A Muskingum flood routing model coupled with an impulse response rainfall-runoff model for ungauged lateral inflows is presented. The model is designed to estimate the runoff hydrograph at a downstream point given runoff hydrographs at one or more upstream locations, and estimated rainfall hyetographs for ungauged catchments. A constrained, non-linear (successive quadratic) programming algorithm is used to estimate the parameters of this model from historical data. These parameters include the Muskingum K and x, the attenuation coefficient and the flow velocity of the impulse response function for the ungauged catchment. Tests of the model with synthetic situations and with a data set for the Godavari river reach in India are presented.