Mathematical Model for the Prediction of Dissolved Oxygen Levels
273
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MAP OF ALEXANDER S.
Fig. 1.
Sampling points of the Alexander Stream.
THE MATHEMATICAL MODEL
The generalized form of the O'Connell-Thomas equation describes the dissolved
oxygen deficit in the water as a function of the time.
dD
dt
in which
Ki (L 0 - y) - K 2 D + (R + B - P)
(1)
D
t
Ki
K 2
L o
y
R
B
P
D.O. deficit at any time
time
deoxygenation rate constant
atmospheric reaeration rate constant
total organic BOD
BOD satisfied at any time y = L Q [1 - exp( - K 2 t)]
Rate of oxygen demand by the algal population
Rate of oxygen demand by the benthal population
Rate of oxygen production by the algae