Hello,
Depending on the cases, the diffusion coefficient is in the range 1.D-6 to 500 m2/s (this latter value said to have been measured in Mississipi...). You can look at the diffusion coefficient that your choice gives (ask D in the variables for graphic printout).
The difficulty with Elder and depth-averaged flows is that the diffusion also takes into account the dispersion, which is an artificial diffusion due to depth-averaging, taking into account the fact that a column of water has a higher velocity at the free surface and a lower one near the bottom.
Regards,
JMH