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Grain size

Diameter of individual grains of sediment, or of lithified particles in clastic rocks

Grain size

Diameter of individual grains of sediment, or of lithified particles in clastic rocks

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

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 :\varphi=-\log_2{\frac{D}{D_0}}, where :\varphi is the Krumbein phi scale, :D is the diameter of the particle or grain in millimeters (Krumbein and Monk's equation) and :D_0 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=D_0 \cdot 2^{-\varphi},

φ scaleSize range
(metric)Size range
(approx. inches)Aggregate name
(Wentworth class)Other names
256 mm10.1 inBoulder
−6 to −864–256 mm2.5–10.1 inCobble
−5 to −632–64 mm1.26–2.5 inVery coarse gravelPebble
−4 to −516–32 mm0.63–1.26 inCoarse gravelPebble
−3 to −48–16 mm0.31–0.63 inMedium gravelPebble
−2 to −34–8 mm0.157–0.31 inFine gravelPebble
−1 to −22–4 mm0.079–0.157 inVery fine gravelGranule
0 to −11–2 mm0.039–0.079 inVery coarse sand
1 to 00.5–1 mm0.020–0.039 inCoarse sand
2 to 10.25–0.5 mm0.010–0.020 inMedium sand
3 to 2125–250 μm0.0049–0.010 inFine sand
4 to 362.5–125 μm0.0025–0.0049 inVery fine sand
8 to 43.9–62.5 μm0.00015–0.0025 inSiltMud
10 to 80.98–3.9 μm3.8×10−5–0.00015 inClayMud
20 to 100.95–977 nm3.8×10−8–3.8×10−5 inColloidMud

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.

NameSize range (mm)Size range (approx. in)
Very coarse soilLarge boulderlBo
BoulderBo200–630
CobbleCo63–200
Coarse soilGravelCoarse gravel
Medium gravelmGr6.3–20
Fine gravelfGr2.0–6.3
SandCoarse sandcSa
Medium sandmSa0.2–0.63
Fine sandfSa0.063–0.2
Fine soilSiltCoarse silt
Medium siltmSi0.0063–0.02
Fine siltfSi0.002–0.0063
ClayCl≤0.002

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: :\sigma_I=\frac{\phi 84 - \phi 16}{4} + \frac{\phi 95 - \phi 5}{6.6}

where

:\sigma_I is the Inclusive Graphic Standard Deviation in phi units :\phi 84 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
\sigma_Ivery well sorted
0.35 \sigma_Iwell sorted
0.50 \sigma_Imoderately sorted
1.00 \sigma_Ipoorly sorted
2.00 \sigma_Ivery poorly sorted
4.00 \sigma_Iextremely poorly sorted

References

References

  1. Krumbein, W. C.. (1934). "Size frequency distributions of sediments". Journal of Sedimentary Petrology.
  2. [https://petrowiki.org/Estimating_permeability_based_on_grain_size PetroWiki: Estimating permeability based on grain size]
  3. "ISO 14688-1:2017 – Geotechnical investigation and testing – Identification and classification of soil – Part 1: Identification and description". International Organization for Standardization (ISO).
  4. (1957). "Brazos River bar: a study in the significance of grain-size parameters". Journal of Sedimentary Petrology.
  5. Folk, Robert L.. (1980). "Petrology of sedimentary rocks". Hemphill Pub. Co.
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