MBBR: moving bed biofilm reactor (surface area loading)

Input data

Average influent flow

Influent BOD5

Goal

Carrier

Carrier fill

Reactors in series

Water depth

Influent suspended solids (optional)

Ammonia to nitrify (optional)

BOD5 surface loading (blank = goal)

Soluble BOD5 removal (blank = goal)

Sludge yield, kg TSS/kg BOD5 (blank = goal)

Carrier protected surface (blank = carrier)

Nitrification surface rate

VSS/TSS of the biomass

BOD5/BODu ratio f

Output data

Carrier area

Reactor volume

Volume of each reactor

Carrier volume (bulk)

Hydraulic detention time

Footprint

Volumetric organic load

Effluent soluble BOD5

BOD5 removed

Sludge produced

Effluent suspended solids

Oxygen demand

Description

Moving bed biofilm reactor sized by the biofilm area it holds. The surface area loading rate, chosen by what the reactor is for, fixes the carrier area; the carrier's protected surface and the fill fraction turn it into a volume:

A=Q S0TASV=Afench asA = \frac{Q \, S_0}{TAS} \qquad V = \frac{A}{f_{ench} \, a_s}

GoalBOD5 loading (g/(m².d))Soluble BOD5 removalSludge (kg TSS/kg BOD5 removed)
High rate (roughing, ahead of further treatment)2075 %0.70
Normal rate (BOD removal)1085 %0.50
Low rate (ahead of nitrification)590 %0.35
CarrierProtected surface (m²/m³)
K1, K3500
K5800
BiofilmChip M1200

Typical values at the design temperature; the carrier supplier's are better. Fill above about 70 % stops the carriers moving freely. When ammonia to nitrify is given, the area for nitrification at its surface rate is compared and the larger governs; nitrification develops on the carriers only at a low organic load.

Oxygen by the COD balance, as in the activated sludge blocks, plus nitrification:

RO=Cremf−1.42 SSVSST Px+4.57 Q NoxRO = \frac{C_{rem}}{f} - 1.42 \, \frac{SSV}{SST} \, P_x + 4.57 \, Q \, N_{ox}

An MBBR has no clarifier of its own: the influent solids and the biomass that sloughs off the carriers leave with the effluent, and the effluent suspended solids reported are what the next unit receives.

References

ØDEGAARD, H. Innovations in wastewater treatment: the moving bed biofilm process. Water Science and Technology, v. 53, n. 9, p. 17-33, 2006.

METCALF & EDDY. Wastewater Engineering: Treatment and Resource Recovery. 5th ed. McGraw-Hill, 2014. Chapter 9 (attached growth processes).