Inverse Problems in Mathematical Modeling of Flood Waves Routing

A. V. Romanov

Results generalizing a cycle of works, connected with formulation and solution of inverse problems for one-dimensional model of unsteady water flow in rivers are presented. Various procedures allowing determining all basic characteristics of complicated riverbed using observations of unsteady water flow are considered. Data on restoration, convolution and use of the received characteristics in numerical schemes of the short-term streamflow forecasting for several reaches of artificial and real riverbeds with flood plains are analyzed. The main problems connected with development of methods of solution of the inverse problems for mathematical models of hydrological processes are formulated in general view.