Biological process calculator

Biomass Concentration Calculator

Estimate steady-state MLVSS and MLSS concentration from removed BOD, SRT, HRT, yield, endogenous decay, and the selected MLVSS/MLSS fraction.

Preliminary steady-state mass balance: This calculator estimates biomass associated with removed BOD. It does not include influent inert solids, endogenous-residue accumulation, chemical solids, or measured effluent solids losses; use plant data and a calibrated process model for final design.

Input parameters
Enter design flow, loading, and kinetic assumptions.
m³/day
hours; used to calculate bioreactor volume
days; selected average biological solids residence time
mg/L as BOD5
percent of influent BOD assumed removed biologically
g VSS formed per g BOD removed
day−1
decimal fraction used to convert estimated MLVSS to MLSS
Calculated results
Concentrations are reported as mg/L; biomass values are VSS-based unless labelled MLSS.

Enter values and select Calculate to view the steady-state biomass estimate.

Equations used

The estimate starts with removed BOD, applies an observed-yield adjustment for endogenous decay at the selected SRT, and converts the biomass inventory into concentration using the HRT-derived reactor volume.

V = Q × HRT ÷ 24
BOD removed = Q × S0 × RBOD ÷ 1,000
Yobs = Y ÷ (1 + kd × SRT)
PX,VSS = BOD removed × Yobs
MLVSS inventory = PX,VSS × SRT
MLVSS = MLVSS inventory × 1,000 ÷ V
MLSS = MLVSS ÷ fMLVSS/MLSS
F/M = BOD removed ÷ MLVSS inventory

Scope and interpretation

HRT, SRT, food-to-microorganism ratio, sludge yield, and biomass are interrelated operating variables in activated sludge and MBR systems. Longer SRT can support higher solids concentration and lower F/M, but practical solids concentration is also constrained by wastewater characteristics, oxygen transfer, membrane fouling, viscosity, and wasting strategy. MBR biological-process guidance [1] Activated-sludge biokinetics training [2]

Biomass concentration 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 page estimates reactor volume from flow and HRT, converts BOD removal to a removed load, applies an observed-yield correction using SRT and decay, and derives MLVSS/MLSS inventory and concentration. F/M and target MLVSS wasting are reported from the same simplified steady-state balance.

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, Process Design Manual: Sludge Treatment and Disposal
  2. U.S. EPA, Nutrient Control Design Manual (2010)
  3. European Commission JRC, Waste Treatment BAT Reference Document (2018)
  4. Pollice et al., Optimal sludge retention time for a bench-scale MBR (2008)

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.