Porosity and Permeability Calculator

Compute n and estimate k for granular media.

How to Use This Calculator

1

Enter densities

ρb (bulk) and ρs (particle).

2

Enter particle size

Use representative diameter for the medium.

3

Calculate

View porosity and permeability estimate.

Formulas

n = 1 − ρb / ρs

k = (dp² n³) / (180 (1 − n)²)

Where: n porosity (void fraction), k intrinsic permeability (m²).

Example: ρb=1600, ρs=2650 ⇒ n≈0.396. With dp=0.5 mm ⇒ k≈ 3.0e−10 m².

Frequently Asked Questions

Accuracy of Kozeny–Carman?

It is an estimate for packed beds of roughly spherical particles; real soils may deviate.

Units?

All inputs are SI; k is in m². Darcy unit: 1 D ≈ 9.87e−13 m².