Biological process calculator

Effluent Permeate BOD & COD Calculator

Estimate preliminary MBR permeate BOD5 from soluble and particulate fractions, or use the alternative SRT-based kinetic equation to estimate permeate COD.

Preliminary mass-balance tool: In an MBR, membrane separation strongly controls the particulate portion of permeate BOD, while biological treatment is critical to residual soluble BOD. Enter representative, site-specific fractions and removal assumptions; this calculator does not replace pilot testing or calibrated process modelling.

Input parameters
Enter average BOD fractions and performance assumptions.
m³/day
mg/L as BOD5
decimal fraction of total BOD5; particulate fraction is calculated as 1 minus this value
percent removal of the soluble-BOD fraction
percent removal of the particulate-BOD fraction before membrane separation
percent physical retention of residual particulate BOD
mg/L; used only for the target check
Calculated results
BOD concentrations are shown as mg/L BOD5; loads use average influent flow.

Enter values and select Calculate to view the permeate-BOD estimate.

Alternative calculation method

Kinetic Permeate COD Estimate

Use the user-specified SRT-based equation as an alternative preliminary estimate of permeate COD: S = Ks × (1 + kd) × SRT ÷ [SRT(μm − kd) − 1].

Kinetic COD inputs
The values below are the typical assumptions requested for this method.
days; typical input shown as 15 days
g COD/m³; numerically equal to mg/L
g VSS/(g VSS·day), equivalent to day−1
g VSS/(g VSS·day), equivalent to day−1
Kinetic COD result
Results follow the selected SRT kinetic equation.

Enter kinetic values and select Calculate COD.

Interpretation: This is an alternative kinetic estimate, not a conversion between BOD and COD and not a replacement for measured permeate COD. The denominator must remain positive for the formula to be valid.

Equations used

The calculation separates total influent BOD into soluble and particulate fractions. Biological removal is applied to both fractions; membrane retention is applied only to the residual particulate fraction.

Influent BOD load = Q × S0 ÷ 1,000
Soluble BOD = S0 × fS
Particulate BOD = S0 × (1 − fS)
Residual soluble BOD = Soluble BOD × (1 − RS)
Permeate particulate BOD = Residual particulate BOD × (1 − RM)
Predicted permeate BOD = Residual soluble BOD + Permeate particulate BOD

Alternative kinetic COD equation

S = Ks × (1 + kd) × SRT ÷ [SRT × (μm − kd) − 1]

Scope and interpretation

MBR treatment combines biological treatment with membrane separation. The membrane acts as the solids-separation barrier, but soluble BOD performance depends primarily on the biological process and wastewater characteristics. This calculator deliberately exposes these distinct assumptions. U.S. Bureau of Reclamation MBR technical report [1] MBR review article [2]

Permeate BOD and COD calculation basis

Documentation revision: 2026-10-02. This page documents the calculation basis so an engineer can trace the inputs, units, assumptions, and review needs. Results are preliminary screening estimates; they are not a permit determination, OEM guarantee, or construction/procurement approval.

Method and source basis

The BOD screen partitions total influent BOD5 into soluble and particulate fractions, applies entered biological removal to both, applies membrane retention to residual particulate BOD, and reports the resulting permeate concentration and load. The optional COD equation is a separate kinetic screen.

The sources below provide technical context or analytical/design methodology. They do not endorse this calculator's defaults, and any jurisdiction-specific requirement applies only where that authority has jurisdiction.

  1. U.S. EPA, Membrane Bioreactors Wastewater Management Fact Sheet (2007)
  2. WEF Manual of Practice No. 36, Membrane Bioreactors
  3. Standard Methods 5210B or ISO 5815-1 for BOD5 measurement
  4. Iorhemen et al., Membrane Bioreactor Technology for Wastewater Treatment (2016)

Assumptions, limitations, and review actions

Professional review checkpoint

Before using the result for specification or operation, reconcile it with representative site data, the applicable permit and design standard, the selected equipment or membrane supplier's current data, and a qualified wastewater/process engineer. Record the input basis, date, units, and any pilot, bench-test, or comparable full-scale evidence used to select the assumptions.