Please refer to Wastewater Engineering:Treatment, Disposal&Reuse by Metcalf & Eddy Chapter 9. There you can handle more than one solved example and Tables for the standard specifications but approximately the side water depth should not exceed 3 m.
3 m side water depth (SWD) shall indeed be the minimum considering that at least the upper 0.8 m would be needed for clarification.
The final SWD shall be determined from the minimum MLSS required in the upstream bioreactors, from the maximum solid flux and from the worst case (highest) sludge volume index (SVI) with corresponding modeling and simulations: steady state (scenario based) + hydrodynamic incl. peak loads from sudden stop of the RAS pumps (e.g. caused by power failure).
In practice we arrive in most cases at about 4 m SWD for medium-large clarifiers.
It can depend on the mechanism for sludge removal. For flights, a couple of feet is adequate. For vacuum pickup, I would suggest one-foot of accumulated sludge
Whatever you decide you need to remember that this is part of the sludge inventory and will contribute to the treatment effectiveness of the overall process. Include the sludge mass in your calculation for sludge age and f/m.
There are some important factors affecting the depth of sludge in ASP
1. The capacity of treatment plant is the major factor. The capacity is directly proportional to the rate of sludge generation.
2. The main aim for design a settling zone for the sludge is the type of settling occurs. The depth should be such that so it leads to the hindered settling. Also SVI for the particular case should be determined accordingly the depth can be decide.