Aggradation in rivers due to overloading

The problem of aggradation in a river due to overloading is tackled with a mathematical model consisting of a set of one-dimensional (in space) basic equations in which the water motion is assumed to be quasi-steady and the sediment transport is determined by local conditions. Analytical solutions are presented of a linearized simple-wave model, parabolic model and the more general hyperbolic model. For large disturbances in the sediment transport the linearization is not allowed and an adapted solution of the hyperbolic model is obtained. Numerical computations with the complete set of basic equations learn that this solution yields better results for large disturbances but also for small disturbances. A validity diagram is presented for the different analytical models using only one dimensionless time parameter. An attempt is made to verify the analytical models with experiments of Soni et al (1980)