Dear Harry,
Most common sediment transport models adopt the assumption of local instantaneous equilibrium for bedload transport. That means the bedload transport rate = transport capacity under an equilibrium condition.
However, in some cases sediment cannot reach new equilibrium and in this case, non-equilibrium sediment transport formulations may be needed.
According to your problem, I'd say you can solve it with classical bedload formulations as implemented in Sisyphe. For a given hydrodynamics field, your problem will certainly reach an equilibrium condition.
Anyway, you can later investigate the applicability of non-equilibrium formulations. Please let us know if you implemented some non-equilibrium formulations, as this subject is also of interest for us.
Kind regards,
Pablo