A few models might be able to simulate erosion and deposition. You can start with the following references:
Young,C.J., J A. Schumacher, T E Schumacher, T C Kaspar, G W. McCarty, S Liu, and D Napton, 2014. Evaluation of a model framework to estimate soil and soil organic carbon redistribution by water and tillage using 137Cs in two U.S Midwest agricultural fields. Geoderma 232-234:437-448
Papanicolaou, A.N., Wacha, K.M., Abban, B.K., Wilson, C.G., Hatfield, J.L., Stanier, C.O. and Filley, T.R., 2015. From soilscapes to landscapes: A landscape‐oriented approach to simulate soil organic carbon dynamics in intensively managed landscapes. Journal of Geophysical Research: Biogeosciences, 120(11), pp.2375-2401.
We can use 2D coupled hydrology-hydraulics-erosion-sediment transport model.
Modeling erosion and sedimentation coupled with hydrological and overland flow processes at the watershed scale. Water Resources Research 49(9): 5134-5154.
A holistic, multi-scale dynamic downscaling framework for climate impact assessments and challenges of addressing finer-scale watershed dynamics, J of Hydrology, doi:10.1016/j.jhydrol.2015.01.025