Filtration Rate (Filter Loading Rate)

Also known as filtration rate · GPM per square foot

vf=QAv_f = \frac{Q}{A}
sig figs

Worked example: 50 L/s over 30 m2 of media → 144 m/d (6 m/h). 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 Filtration Rate (Filter Loading Rate) fits

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See also

Backwash Water Volume: Both use filter bed area.
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Filtration Rate (Filter Loading Rate) explained

QvfA

Filter loading is the same flow-over-area velocity as an overflow rate, but the trade quotes it in gallons per minute per square foot: 2 gpm/ft² is the classic rapid sand rate, equal to 5 m/h or 120 m/d. Slow sand filters, the technology that ended cholera in Europe, run a hundred times gentler at 0.1–0.2 m/h, which is why they need acres of land; high-rate dual-media anthracite-over-sand beds routinely take 4–6 gpm/ft². A 50 L/s flow spread over a 30 m² bed is 144 m/d, or 2.4 gpm/ft²: squarely conventional.

Rate is only half the story; the other half is what happens when you change it. The chronic field error is closing a filter for backwash and letting the remaining filters absorb the flow in one step, which drives a slug of previously captured particles straight through the bed: the "filter ripening" and rate-change turbidity spikes that show up in every Cryptosporidium outbreak post-mortem, Milwaukee 1993 included. Bring filters back into service slowly, filter to waste for the first few minutes, and watch individual filter effluent turbidity rather than the combined header, which will happily average a failing filter into compliance.

Filtration Rate (Filter Loading Rate) formula

vf=QAv_f = \frac{Q}{A}
Where
  • vfv_f= Filtration rate (m/d)
  • QQ= Filtered flow rate (L/min)
  • AA= Filter bed area (m²)
Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Filtration Rate (Filter Loading Rate) Formula & Calculator. https://formula.expert/solvers/filter-loading-rate