Calculation of Soil Permeability Coefficient Based on Particle Diameter

In literature, you will find simple mathematical solutions for a practical, fast and approximate determination of the soil's water permeability, given a precise knowledge of the geological conditions. These solutions are especially useful for non-cohesive types of soil and they are dependent on the given particle size distribution. The most common formulas are listed below:

Table: 

Calculation of soil permeability coefficient based on particle diameter

𝑘 = 200 × 𝑑𝑤 × 𝑒2 𝑘 = 116 × 𝑑𝑤 𝑘 = 𝑓 (𝑑10, 𝑈)
Calculation of the permeability coefficient k for loosely bedded, pure filter sand according to [Terza61] Calculation of the permeability coefficient k for uniform sands according to [Hazen83] Calculation of the permeability coefficient k according to [Beyer64] (see next page)
dw = Effective particle diameter [mm], corresponds to d10
e = Void ratio [-]
dw = Effective particle diameter [mm], corresponds to d10
D10 = Particle diameter at 10 % by weight of the grading curve
U = Coefficient of uniformity