Stage Storage calculations use the procedures below based on the storage type selected.
Elevation Contours
Hydrology Studio uses either the average-end-area method applied vertically or the Conic method. The Conic method uses this equation:
Where:
V = storage
d = change in elevation between points 1 and 2
A1 = surface area at elevation 1
A2 = surface area at elevation 2
Trapezoid
Trapezoidal shaped ponds are computed by:
Where:
V = storage volume at stage D
D = stage or depth
L = bottom length
W = bottom width
Z = side slope, (Z:1) (horizontal to 1-vertical)
Generic Underground Chambers
Volume of a generic chamber pipe only is computed by:
Where:
V = storage volume
L = Barrel length
A1 = cross-sectional area of depth at downstream end
A2 = cross-sectional area of depth at upstream end
M = cross-sectional area of depth at midsection
When the pipe slope equals zero, Volume = L x A1
Stone Encasements
It should be noted that the top of the stone encasement is not subject to an inputted barrel slope. Instead, the software assumes the encasement is level on top but sloped on the bottom. This will tend to increase the total encasement depth at the downstream end (Depth as inputted plus L x Slope) and resulting storage.
When No Headers has been chosen and a Stone Encasement has been selected, the software will still add an amount to each end of the Barrel equal to the (Encasement Width – Chamber Span)/2. Basically providing for endcaps. If there’s no Encasement, then no adjustment is made.