Volumetric Organic Loading Rate

Lv=Q S0VL_v = \frac{Q \, S_0}{V}
kg BOD/(m³·d)
sig figs

Worked example: 864 kg BOD/d into 1200 m3 → 0.72 kg/(m3.d). Press Try an example to run it live, then adjust anything.

Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Change any unit and the answer follows.

Where Volumetric Organic Loading Rate fits

In this toolkit

See also

Mass Loading: BOD, Solids or Metals: Both use flow rate and influent BOD concentration.Food-to-Microorganism (F/M) Ratio: Both use influent BOD concentration.Space Time and Space Velocity: Both use reactor volume.Flow-Weighted Blending Concentration: Both use flow rate.Hydraulic Detention Time: Both use flow rate.Metal Hydroxide Sludge from Metal Removed: Both use flow rate.
3 more relatedSurface Overflow Rate: Both use flow rate.Weir Loading Rate (Weir Overflow Rate): Both use flow rate.Volume of Water Over a Period: Both use flow rate.
Learning zone

Volumetric Organic Loading Rate explained

QS0LvV

Volumetric loading answers the question a designer actually asks: how big does the tank have to be? Take the pounds, or kilograms, of BOD arriving each day and divide by the reactor volume. A flow of 4320 m³/d at 200 mg/L delivers 864 kg BOD/d, and in a 1200 m³ aeration basin that is 0.72 kg BOD/(m³·d). Conventional activated sludge sits at 0.3–1.0, extended aeration well below 0.3, high-rate systems above 1.5, a rock trickling filter around 0.2–0.5, and a mesophilic anaerobic digester on volatile solids at 1.6–3.2.

The value of the number is that it collapses two variables, flow and strength, into one, so it exposes what a hydraulic detention time hides. Two plants with identical two-hour detention times are not comparable if one treats 150 mg/L domestic sewage and the other 900 mg/L cannery waste. Push the loading past design and the symptoms are textbook: dissolved oxygen collapses, filamentous organisms take over because they out-compete floc-formers at low DO, sludge stops settling, and solids leave over the clarifier weir. The classic mistake is loading a digester by volume of sludge pumped rather than by pounds of volatile solids: a thin, watery feed can double the pumping and still starve the bugs, while a good thickener can overload the same digester at half the flow.

Volumetric Organic Loading Rate formula

Lv=Q S0VL_v = \frac{Q \, S_0}{V}
Where
  • LvL_v= Volumetric loading (kg BOD/m³·d) (kg BOD/(m³·d))
  • QQ= Flow rate (L/min)
  • S0S_0= Influent BOD concentration (mg/L)
  • VV= Reactor volume (L)
Revised 31 October 2026
Cite this page

formula.expert. (2026, October 31). Volumetric Organic Loading Rate Formula & Calculator. https://formula.expert/solvers/volumetric-organic-loading-rate