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hydrometer analysis

General

Fine-grained soil.  The hydrometer test uses Stokes equation (for the velocity of a free falling sphere in suspension) to determine grain size distribution smaller than #200 sieve.

The grain size distributions of soils are commonly determined by sieve (smallest being #200) and hydrometer procedures. In the hydrometer analysis the soil smaller than #200 sieve is placed in suspension and by use of Stokes' equation for the velocity of a free falling sphere the equivalent particle size and percent of soil in suspension are computed.

For soils with both fine and coarse grained materials a combined analysis is made using both the sieve and hydrometer procedures.

Stokes Law:

A sphere falling freely through a liquid of infinite extent will accelerate rapidly to a certain maximum velocity and will continue at that velocity as long as conditions remain the same. The relationship of the terminal velocity to the physical properties of the sphere and the liquid are expressed by Stokes' Equation as follows:

Equation Set 1.1: Stokes Equation

Stokes Equation

Stokes' Law is applicable to spheres varying from 0.02 mm to 0.0002 mm in diameter. As applied to soil particles falling through water, inaccuracies occur due to the following:

  1. Soil particles are not spheres
  2. The fluid is not of infinite extent
  3. The specific gravity of individual particles may vary
  4. Turbulence caused by larger particles falling
  5. Brownian movement of smaller particles
  6. Disturbance due to insertion and removal of hydrometer
  7. The test is actually used for diameters as large as 0.07 mm

By proper sample and laboratory technique all except item 1 can be controlled or minimized so that the resulting inaccuracies can be ignored in normal testing. The shape of soil particles will vary from cubes to flakes with each of the shapes between these limits having different influence. The results of the hydrometer analysis are valid if they are considered equivalent grain diameter rather than actual grain diameter.

Apparatus

 

Type 151H hydrometer
Thermometer
A 1000 ml hydrometer jar
Mixing bowl
Spatula
Dispersion apparatus - milkshake mixer
Drying pan
Rubber membrane (parafilm)
Clock with seconds
Small graduated cylinder
deflocculating agent - 4% sodium hexa-metaphosphate (NaPO3)
40g/1000ml

Procedure

 

 

Procedure / Data Sheets [right-click | "save target as" Excel Offic2000"

 

References

Al-Khafaji & Andersland (1992), pages 482 - 492.

Lambe (1951), 29 - 42.