Sewer Overflow formula (Water Overlay)

Overflow from the sewer is calculated for the entirety of the sewer, and the single attached sewer overflow.

The sewer base height is located at the height indicated by the sewer overflow:

B_s = B_o

The water level at the sewer is then:

w_s = h_s + B_s

The sewer overflow threshold height H_o within the sewer is calculated as:

H_o = H_s * T_o

Water only flows out of the sewer iff:

h_s > H_o and

h_s + B_s > w_o

The amount that can overflow relies on both the water level at the sewer overflow itself as well as the sewer overflow threshold and the stored sewer water:

Δh = min ( h_s - H_o , w_s - w_o)

The flow is then calculated with the SEWER_OVERFLOW_SPEED attribute of the sewer overflow and the maximum speed with which water can flow through the sewer overflow:

Δw = min( Δh, Δt * q_o / A_s)

The amount of water added to the exit cell(s) of the sewer overflow:

Q_t = Δw * A_s

where:

• B_o = The height of the terrain at the centerpoint of the sewer overflow, relative to datum.
• B_s = The assumed surface height of the sewer, relative to datum.
• w_o = The water level at the sewer overflow's exit, relative to datum.
• w_s = The water level of the sewer, relative to datum.

• h_s = The sewer water height.
• H_S = The SEWER_STORAGE attribute of the sewer area, the maximum water height allowed in the sewer.
• Δw = Water level change in the sewer, due to sewer overflow.
• Δt = Computational timestep.

• A_s = The surface area of the sewer.

• q_o = The SEWER_OVERFLOW_SPEED attribute of the sewer overflow.
• T_o = The SEWER_OVERFLOW_THRESHOLD, the threshold factor indicating the fraction of the sewer's storage height that is blocked by the sewer overflow 's threshold.
• Q_t = The amount of water pumped out of the sewer through the sewer overflow.

Notes

• The sewers area is counted as the amount of sewered grid cells times the size of a grid cell.
• The sewer's height relative to datum is not defined in the Sewer itself. It is relative to the sewer overflow and determined by the SEWER_OVERFLOW attribute of the overflow.

See also

• Sewer

Water Module

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