
Definition of Equation Variables and Subscripts
C Constituent concentration in milligrams per liter
F Flow Rate in million gallons per day
m Mass flow rate in pounds per day
µ Removal efficiency
Subscripts
GWR,i GWR System of constituent, i
GWR-Inf GWR System influent
GWR-Inf,i GWR System influent of constituent, i
GWR-Eff GWR System effluent
GWR-Eff,i GWR System effluent of constituent, i
GWR-Rej GWR System brine return to Treatment Plant No. 2 across j discrete
sampling events
GWR-Rej,i GWR System brine return to Treatment Plant No. 2 across j discrete
sampling events of constituent, i
Ocean-SE Ocean secondary effluent
Ocean-SE,i Ocean secondary effluent of constituent, i
REG,i Numerical limit or standard of constituent, i
RP1-Eff Reclamation Plant No. 1 secondary effluent
RP1,i,avg Reclamation Plant No. 1 average of constituent, i
RP1-Inf Reclamation Plant No. 1 influent
RP1-Inf,i Reclamation Plant No. 1 influent of constituent, i
RP1-Inf,i:calculated Reclamation Plant No. 1 influent of constituent, i, calculated
RP1-Inf,i:measured Reclamation Plant No. 1 influent of constituent, i, measured
Figure 8. Equation variables and subscripts for the mass balance equations
product water flow from the GWR System to the recharge basins or points 1, 3, and 5,
respectively. Flow rates were recorded for the influent and effluent streams and secondary
effluent (interior) stream identified in the mass balance.
The approach for the mass balance model uses the GWR System regulated contaminant levels or
toxicity data to back calculate the allowable influent wastewater to Reclamation Plant No. 1.
The allowable influent wastewater concentration to Reclamation Plant No. 1 is compared with
the actual average influent wastewater concentration. This approach is formally called, “Back
Calculating Action Levels”.
Start with a mass balance around the GWR System bounded by points 1, 2, and 3 in Figure 7.
The design flow rating, water side removal rates, and regulated contaminant levels or toxicity
data are known. Therefore, the allowable influent concentration to the GWR and brine return
streams can be solved at points 3 and 2, respectively.
After closing the mass balance around the GWR System, a mass balance can be made around
Reclamation Plant No. 1 which is illustrated by points 3, 4, and 5 in Figure 7.
Since the water side removal rate and mass flow rate across Reclamation Plant No. 1 are already
known, the Reclamation Plant No. 1 allowable influent concentration can be determined.
WEFTEC®.08
Copyright ©2008 Water Environment Federation. All Rights Reserved.
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