Hi Dufour
The basis is the following:
Your bathymetry (B ) is fixed. In the most case, you give a relative value to a reference (mean sea level, lowest level, ground level).
In the initial condition, you choose to set the water heigh (H) or the level of the free surface (S).
In all case you had the relation : S = B + H
"ZERO ELEVATION" ("COTE NULLE") ==> S=0
"CONSTANT ELEVATION" ("COTE CONSTANTE")==> fix the value of S
"ZERO DEPTH" ("HAUTEUR NULLE") ==> H=0
"CONSTANT DEPTH" ("HAUTEUR CONSTANTE") ==> fix the value of H
When S is fixed, H is computed to satisfy the previous relation with a restriction when B>S then you have S=B and H=0.
When H is fixed, there is no restriction but if B isn't constant, that generate some variations on S which could be not physical.
I hope it helps
Regards
Christophe