Mathematical models of distribution of sediment concentration

Mathematical models have been developed that can completely describe the di stribution of sediment concentration from the channel bed to the water surf ace. These models can be used to estimate the mean (depth-averaged) sedimen t concentration by a quick, point sampling in river engineering practice. T he developed models are products of a combined application of the determini stic and probabilistic concepts. The complementary nature of the two concep ts strengthens the methodology of describing the various features of sedime nt transport. The models incorporate a velocity distribution equation that corresponds to a probability distribution derived by maximizing the informa tion entropy, The probability distribution is a compact description of the system at a channel section, and its resilience or stability explains the a pplicability of the developed models of velocity and sediment distributions in a wide range of flows, steady or unsteady.