As part of a model for the rainfall-run-off relation of a catchment, a linear distributed model of surface run-off is presented in this report.This model, without internal boundary conditions, consists of a cascade of linear conceptual elements. It simulates the complex drainage system by a network of overland flow and channel-flow elements. These elements obey the one-dimensional equations for unsteady flow in a channel. Simplification and linearisation of the dynamic equations lead to diffusion type equations. Their solution for suitable boundary conditions yield the impulse response functions, which characterize the operation of the elements. Special attention is given to the application of the techniques of linear system analysis, such as moments and spectra. These techniques produce information on the relative importance of the various conceptual elements. Consequently it is possible to decide on the necessary detail in the variation in time and space of both the inflow and structure of the drainage model.Results obtained by using the linear model have been compared with results of a more exact non-linear model and have been encouraging. At the end some practical applications have been given.
|Qualification||Doctor of Philosophy|
|Award date||24 May 1973|
|Place of Publication||Wageningen|
|Publication status||Published - 1973|
- surface water
- overland flow
- water balance