# Soil permeability coefficient

Geotechdata.info - Updated 07.10.2013

The soil permeability is a measure indicating the capacity of the soil or rock to allow fluids to pass through it. It is often represented by the permeability coefficient (k) through the Darcy’s equation:

V=ki

Where v is the apparent fluid velocity through the medium i is the hydraulic gradient , and K is the coefficient of permeability (hydraulic conductivity) often expressed in m/s

K depends on the relative permeability of the medium for fluid constituent (often water) and the dynamic viscosity of the fluid as follows.

K= (Gamma_w)*K/ (eta)

where Where Gamma_w is the unit weight of water Eta is the dynamic viscosity of water K is an absolute coefficient depending on the characteristics of the medium (m2)

The permeability coefficient can be determined in the laboratory using falling head permeability test, and constant head permeability test. On the field, the permeability can be estimated using Lugeon test.

## Typical values of soil permeability

Some typical values of permeability coefficient are given below for different soil types. It refers to normally consolidated condition unless otherwise mentioned. These values should be used only as guidline for geotechnical problems; however, specific conition of each engineering problem often needs to be considered for an appropriate choice of geotechnical parameters.

 Description USCS min (m/s) max (m/s) Specific value (m/s) Reference Well graded gravel, sandy gravel, with little or no fines GW 5.00E-04 5.00E-02 [1], Poorly graded gravel, sandy gravel, with little or no fines GP 5.00E-04 5.00E-02 [1], Silty gravels, silty sandy gravels GM 5.00E-08 5.00E-06 [1], Alluvial sand and gravel (GM) 4.00E-04 4.00E-03 [2&3 in 4] Clayey gravels, clayey sandy gravels GC 5.00E-09 5.00E-06 [1], Well graded sands, gravelly sands, with little or no fines SW 1.00E-08 1.00E-06 [1], Very fine sand, very well sorted (SW) 8.40E-05 [5] , Medium sand, very well sorted (SW) 2.23E-03 [5] , Coarse sand, very well sorted (SW) 3.69E-01 [5] , Poorly graded sands, gravelly sands, with little or no fines SP 2.55E-05 5.35E-04 [1], [2&3 in 4] Clean sands (good aquifers) (SP-SW) 1.00E-05 1.00E-02 [5], Uniform sand and gravel (SP-GP) 4.00E-03 4.00E-01 [2&3 in 4] Well graded sand and gravel without fines (GW-SW) 4.00E-05 4.00E-03 [2&3 in 4] Silty sands SM 1.00E-08 5.00E-06 [1], Clayey sands SC 5.50E-09 5.50E-06 [1], [5] Inorganic silts, silty or clayey fine sands, with slight plasticity ML 5.00E-09 1.00E-06 [1], Inorganic clays, silty clays, sandy clays of low plasticity CL 5.00E-10 5.00E-08 [1], Organic silts and organic silty clays of low plasticity OL 5.00E-09 1.00E-07 [1], Inorganic silts of high plasticity MH 1.00E-10 5.00E-08 [1], Inorganic clays of high plasticity CH 1.00E-10 1.00E-07 [1], Compacted silt (ML-MH) 7.00E-10 7.00E-08 [2&3 in 4] Compacted clay (CL-CH) - 1.00E-09 [2&3 in 4] Organic clays of high plasticity OH 5.00E-10 1.00E-07 [1], Peat and other highly organic soils Pt - -

## Empirical relations for dtermine the soil permeability coefficient

For Sands, the coefficient of permeability can be estimated from the Hazen's equation:

is the effevtive size in mm.

## REFERENCES

1. Swiss Standard SN 670 010b, Characteristic Coefficients of soils, Association of Swiss Road and Traffic Engineers
2. Carter, M. and Bentley, S. (1991). Correlations of soil properties. Penetech Press Publishers, London.
3. Leonards G. A. Ed. 1962, Foundation ENgineering. McGraw Hill Book Company
4. Dysli M. and Steiner W., 2011, Correlations in soil mechanics, PPUR
5. West, T.R., 1995. Geology applied to engineering. Prentice Hall, 560 pp.

Citation :
Geotechdata.info, Soil void ratio, http://geotechdata.info/parameter/permeability.html (as of October 7, 2013).