Conjunctive use of deterministic and stochastic models for predicting sediment storage in large reservoirs: 2. Deterministic model for the sediment deposition process

The papers presented discuss the development of a model to predict the deposition of sediment in reservoirs as a function of time (in years). The papers consist of three parts which are published together: Part 1 dealt with the development of the stochastic model for the total deposition of sediment in reservoirs. This cumulative deposition of sediment in time was shown to be an additive process defined on a finite Markov chain. The model was analysed to obtain the mean and the range of the cumulative sediment deposition as a function of discrete time in years. The present Part 2 discusses a deterministic model for the deposition process along the length of the reservoir. The pattern of deposition is a function of the inflow and the concentration of sediment in the inflow as well as the initial level in the reservoir and the initial composition of the sediment. The inflow in the reservoir is treated as unsteady and non-uniform. As much of the physical characteristics of the reservoir as possible is included in the analysis. Part 3 discusses the application of the two models in conjunction to the John Martin Reservoir, Bent County, Colorado, for which measurements are available (though limited in extent). The comparison between results obtained from the model and the actual measured data is found to be in good agreement with each other. The symbols used and references are provided separately in the Notation and References Section of each part.