Grain size

Granulometry
Basic concepts
Particle size, Grain size, Size distribution, Morphology
Methods and techniques
Mesh scale, Optical granulometry, Sieve analysis, Soil gradation

Related concepts
Granulation, Granular material, Mineral dust, Pattern recognition, Dynamic light scattering
Wentworth grain size chart from United States Geological Survey Open-File Report 2006-1195: Note size typos; 33.1mm is 38.1 & .545mm is .594
Beach cobbles at Nash Point, South Wales

Grain size (or particle size) is the diameter of individual grains of sediment, or the lithified particles in clastic rocks. The term may also be applied to other granular materials. This is different from the crystallite size, which refers to the size of a single crystal inside a particle or grain. A single grain can be composed of several crystals. Granular material can range from very small colloidal particles, through clay, silt, sand, gravel, and cobbles, to boulders.

Krumbein phi scale

Size ranges define limits of classes that are given names in the Wentworth scale (or Udden–Wentworth scale named after geologists Chester K. Wentworth and Johan A. Udden) used in the United States. The Krumbein phi (φ) scale, a modification of the Wentworth scale created by W. C. Krumbein in 1934, is a logarithmic scale computed by the equation

φ=−log2DD0,

where

φ is the Krumbein phi scale,
D is the diameter of the particle or grain in millimeters (Krumbein and Monk's equation) and
D0 is a reference diameter, equal to 1 mm (to make the equation dimensionally consistent).

This equation can be rearranged to find diameter using φ:

D=D0⋅2−φ
φ Scale Size Range Terminology
Metric Inches (approx.) Wentworth
≤ −8 ≥ 256 mm ≥ 10.1 in Boulder
−8 to −7 256 mm to 128 mm 10.1 in to 5.04 in Cobble
−7 to −6 128 mm to 64 mm 5.04 in to 2.52 in
−6 to −5 64 mm to 32 mm 2.52 in to 1.26 in Pebble
−5 to −4 32 mm to 16 mm 1.26 in to 0.63 in
−4 to −3 16 mm to 8 mm 0.63 in to 0.31 in
−3 to −2 8 mm to 4 mm 0.31 in to 0.16 in
−2 to −1 4 mm to 2 mm 0.16 in to 0.08 in Granule
−1 to 0 2 mm to 1 mm 0.08 in to 0.04 in Sand
0 to 1 1 mm to 0.5 mm 0.04 in to 0.02 in
1 to 2 0.5 mm to 0.25 mm 0.02 in to 0.01 in
2 to 3 250 μm to 125 μm 0.01 in to 0.005 in
3 to 4 125 μm to 62.5 μm 0.005 in to 0.0025 in
4 to 5 62.5 μm to 31.3 μm 0.0025 in to 0.0012 in Silt
5 to 6 31.3 μm to 15.6 μm 0.0012 in to 0.0006 in
6 to 7 15.6 μm to 7.81 μm 0.0006 in to 0.0003 in
7 to 8 7.81 μm to 3.91 μm 0.0003 in to 0.00015 in
8 to 9 3.91 μm to 1.95 μm 0.00015 in to 7.7×10-5 in Clay
9 to 10 1.95 μm to 0.98 μm 7.7×10-5 in to 3.8×10-5 in
10 to 20 977 nm to 0.95 nm 3.8×10-5 in to 3.8×10-8 in Colloid

In some schemes, gravel is anything larger than sand (comprising granule, pebble, cobble, and boulder in the table above).

International scale

ISO 14688-1:2017 establishes the basic principles for identifying and classifying soils based on those material and mass characteristics most commonly used for soils for engineering purposes. ISO 14688-1 applies to natural soils in situ, similar man-made materials in situ and soils redeposited by people.

ISO 14688-1:2017
Name Size range (mm) Size range (approx. in)
Very coarse soil Large boulder lBo >630 >24.8031
Boulder Bo 200–630 7.8740–24.803
Cobble Co 63–200 2.4803–7.8740
Coarse soil Gravel Coarse gravel cGr 20–63 0.78740–2.4803
Medium gravel mGr 6.3–20 0.24803–0.78740
Fine gravel fGr 2.0–6.3 0.078740–0.24803
Sand Coarse sand cSa 0.63–2.0 0.024803–0.078740
Medium sand mSa 0.2–0.63 0.0078740–0.024803
Fine sand fSa 0.063–0.2 0.0024803–0.0078740
Fine soil Silt Coarse silt cSi 0.02–0.063 0.00078740–0.0024803
Medium silt mSi 0.0063–0.02 0.00024803–0.00078740
Fine silt fSi 0.002–0.0063 0.000078740–0.00024803
Clay Cl ≤0.002 ≤0.000078740

Sorting

An accumulation of sediment can also be characterized by the grain size distribution. A sediment deposit can undergo sorting when a particle size range is removed by an agency such as a river or the wind. The sorting can be quantified using the Inclusive Graphic Standard Deviation:

σI=ϕ84−ϕ164+ϕ95−ϕ56.6

where

σI is the Inclusive Graphic Standard Deviation in phi units
ϕ84 is the 84th percentile of the grain size distribution in phi units, etc.

The result of this can be described using the following terms:

Diameter (phi units) Description
σI < 0.35 very well sorted
0.35 < σI < 0.50 well sorted
0.50 < σI < 1.00 moderately sorted
1.00 < σI < 2.00 poorly sorted
2.00 < σI < 4.00 very poorly sorted
4.00 < σI extremely poorly sorted

See also