Ideal settling basin theory
Imagine a particle entering at the surface. It has to fall the full depth while the water carries it the length of the basin. Settling time = depth / settling velocity, and the water's time in the basin = volume / flow. Set them equal and depth cancels: a particle is captured if its settling velocity is at least flow / surface area. That ratio is the surface overflow rate.
This is the classic ideal basin model, simplified: real basins have currents, wind and temperature effects, so designers add safety margin. Operators often quote overflow rate in gallons per day per square foot; 1 m/h is about 590 gpd/ft².
Depth buys time, not capture
Making the basin deeper increases how long water stays, which helps with storage and smoothing out surges, but in the ideal model it does not change which particles are caught. Better coagulation, which makes faster sinking floc, or more surface area are what improve capture.