The Schmidt number is calculated using the van Rijn (1984b) formula which is based on measurements from Coleman (1981)

1) \frac{1}{\sigma _{sk}}=1+2\left(\frac{\omega _{sk}}{u_{*}}\right)^{2}\,\,\,\,\,\mathrm{for}\,\,0.1<\frac{\omega _{sk}}{u_{*}}<1

where

ω_{sk} = sediment settling velocity for kth grain class [L/T]

u_* = total bed shear velocity [L/T]

The applying the above equation the values of ω_{sk}/u_* values are limited to the range indicated above.