Different versions of the model are uploaded in the github folder because the formulaiton for the calculation of the formative bed shear stress varied depending on the available data.
Parker, G., Paola, C. & Leclair, S. (2000). Probabilistic Exner sediment continuity equation for mixtures with no active layer. Journal of Hydraulic Engineering, 126 (11), 818-826.
Key physical parameters are the entrainment rate of particles in bedload transport, the average particle step length, the standard deviation of bed elevation change, the elevation of the maximum probability of particle entrainment, the probability functions of bed elevations and of particle entrainment in bedload transport.
Blom, A., Ribberink, J. S. & de Vriend, H. (2003). Vertical sorting in bed forms: Flume experiments with a natural and a trimodal sediment mixture. Water Resources Research, 39 (2), 1025.
Wong, M., Parker, G., DeVries, P., Brown, T. M. & Burges, S. J. (2007). Experiments on dispersion of tracer stones under lower-regime plane-bed equilibrium bedload transport. Water Resources Research, 45, W03440.
The Wong et al. (2007) dataset is available in the github repository with the comparison between model results and experimental data.
Bradley, D. N. (2017). Direct observation of heavy-tailed storage times of bed load tracer particles causing anomalous superdiffusion. Geophysical Research Letters, 44, 12227-12235.
Bradley, D. N & Tucker, G. E. (2012). Measuring gravel transport and dispersion in a mountain river using passive radio tracers. Earth Surface Processes and Landforms, 37, 1034-1045.
Brousse, G., Arnaud-Fassetta, G., Liebault, F., Bertrand, M., Melum, G., Loire, R., Malavoi, J.-R., Fantino, G. & Borgniet, L. (2020). Channel response to sediment replenishment in a large gravel-bed river: The case of the Saint-Sauveur dam in the Buech River (Southern Alps, France). River Research and Application, 36 (6), 880-893.
Discussions on how to extend the model to sediment mixtures are in progress
This part will be filled out by CSDMS staff
See more publications of Tracer dispersion calculator