Ground engineering · Ground improvement

Granular filter design (Terzaghi) calculator

Retention D15f/D85s ≤ 4–5 and permeability D15f/D15s ≥ 4–5 checks, with uniformity guide.

Standard: Terzaghi filter rules · USBR / Sherard

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Inputs in the worked example

The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.

InputValueUnit
Base soil D150.02mm
Base soil D850.6mm
Filter D150.3mm
Filter D602mm
Filter D100.2mm
Retention limit4
Permeability limit4

Worked example — results

ResultValueUnit
D15f/D85s0.500
D15f/D15s15.00
Filter Cu10.00
0.0010.010.1110100base soilfilterparticle size (mm, log)D15f/D85s = 0.50 (≤ 4) · D15f/D15s = 15.0 (≥ 4)00.5limit 1.0Retention0.13 PASS
Diagram for the worked example

Method, formulas and assumptions

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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.