One-Dimensional Velocity Distribution in Seepage Bed Open Channels Using Tsallis Entropy

Abstract

In the present study, a one-dimensional experimental velocity profile measured in seepage channels is evaluated by Tsallis entropy theory considering time-averaged velocity as a random variable. The velocity data was observed by conducting the experiments in the laboratory flume over the flat sand bed for no seepage and seepage discharge. The proposed velocity profile based on the Tsallis entropy model is tested with laboratory observations. Various efficiency criteria, root mean square error (RMSE), and Nash-Sutcliffe efficiency (NSE) coefficient, are used to verify the validity and accuracy of the proposed model. The Tsallis entropy-based 1D velocity distributions produced by various shape parameters agreed satisfactorily with experimental data and compared well. According to observations, the shape parameter a=0.2 leads to the best fit of the cumulative distribution function and velocity for the centre line of the channel. It is shown that the Tsallis entropy can be used to make accurate velocity predictions in active seepage channels.