Materials & Quantities

Soil Phase Relationships Calculator (Unit Weights and Degree of Saturation)

From dry unit weight, water content and specific gravity: void ratio, porosity, degree of saturation, and moist, saturated and buoyant unit weights.

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The weight of the solids in a unit volume of soil, from the laboratory's dry density.

A laboratory reports dry DENSITY, in Mg/m³, g/cm³ or pcf. Multiply a Mg/m³ or g/cm³ figure by 9.81 to get kN/m³ — 1.66 Mg/m³ is 16.28 kN/m³ — while a pcf reading goes in as it stands, because a pound of mass and a pound of force share the number at standard gravity.

The mass of pore water as a percentage of the mass of dry solids.

From an oven-dry test on the same specimen as the density. It is a percentage of the DRY mass, so a peat can exceed 100 per cent without anything being wrong; a sheet that gives water content as a share of the wet mass needs converting first, w = wet share ÷ (1 − wet share).

The density of the soil grains relative to water — about 2.65 to 2.70 for most mineral soils.

Measured to BS 1377-2 or ASTM D854 where the report gives it; otherwise 2.65 for sands and 2.70 for clays is the usual assumption and should be written down as one. Organic soils run much lower, because organic matter is far lighter than mineral grain.

Moist (bulk) unit weight

122.7 pcf

High confidence

The moist figure is the weight of the ground as dug, water included — the one retained soil carries above the water table. Below the water table a wall or footing check takes the buoyant figure and carries the water separately at full pressure.

Void ratio (e)
0.61
Porosity (n)
38.08 %
Degree of saturation (S)
80.19 %
Air voids
7.54 %
Dry unit weight
103.64 pcf
Saturated unit weight
127.42 pcf
Buoyant (submerged) unit weight
64.97 pcf
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Phase relationships of a soil element of solids, water and air: void ratio e = Gs·γw/γd − 1, porosity n = e/(1 + e), degree of saturation S = w·Gs/e, moist unit weight γ = γd(1 + w), saturated unit weight γsat = (Gs + e)·γw/(1 + e) and buoyant unit weight γ′ = γsat − γw (Craig's Soil Mechanics, chapter 1; the quantities as BS 1377-2 and ASTM D7263 define them)

Inputs used

Dry Unit Weight (γd)
103.64 pcf
Water Content (w), per cent
18.4
Specific Gravity of Solids (Gs)
2.68

Intermediate steps

Void ratio (e)
0.61
Porosity (n)
38.08 %
Degree of saturation (S)
80.19 %
Air voids
7.54 %
Dry unit weight
103.64 pcf
Saturated unit weight
127.42 pcf
Buoyant (submerged) unit weight
64.97 pcf
Final result122.71 pcf

Confidence note: The moist figure is the weight of the ground as dug, water included — the one retained soil carries above the water table. Below the water table a wall or footing check takes the buoyant figure and carries the water separately at full pressure.

What this calculation does not cover

  • The unit weight of water is fixed at 9.81 kN/m³ (62.4 pcf), which is fresh groundwater. A pore fluid that is brine, a tailings liquor or a contaminated leachate is heavier, and the saturated and buoyant figures need working with its own value.
  • Phase relations describe one specimen. The dry density, the water content and the specific gravity have to come from the same sample; mixed across samples they can produce a saturation over 100 per cent, which this page reports as impossible rather than rounding it away.
  • The saturated and buoyant weights assume the voids are completely full below the water table. A zone of partial saturation just above it, or gas in an organic clay, sits between the moist and saturated figures.
  • It converts what the laboratory measured; it does not measure the ground. A density from a disturbed or remoulded sample describes the sample, and fill placed and compacted on site has its own figures, set by the compaction specification rather than by the natural ground beside it.

Add the equipment this sizes

This result is a specification — 122.7 pcf — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-22 · v1.0.0

Regulatory standards & verification citations1
  1. Phase relationships of a soil element of solids, water and air: void ratio e = Gs·γw/γd − 1, porosity n = e/(1 + e), degree of saturation S = w·Gs/e, moist unit weight γ = γd(1 + w), saturated unit weight γsat = (Gs + e)·γw/(1 + e) and buoyant unit weight γ′ = γsat − γw (Craig's Soil Mechanics, chapter 1; the quantities as BS 1377-2 and ASTM D7263 define them)

Which documents these citations point at

Standards referenced: ASTM D7263 (ASTM International, United States).

Cite this page

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Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

  • Reading a Soil Reportuses this calculator

    A lab sheet gives specific gravity and dry density; a wall check wants moist and buoyant unit weight. The conversion between them, and where it goes wrong.

How to calculate soil phase relationships (unit weights and degree of saturation) in 4 steps

  1. Dry Unit Weight (γd)The weight of the solids in a unit volume of soil, from the laboratory's dry density.
  2. Water Content (w), per centThe mass of pore water as a percentage of the mass of dry solids.
  3. Specific Gravity of Solids (Gs)The density of the soil grains relative to water — about 2.65 to 2.70 for most mineral soils.
  4. Moist (bulk) unit weightThe tool computes the moist (bulk) unit weight from those figures and shows the formula, its sources, and a confidence rating alongside it.

Moist (bulk) unit weight by dry unit weight (γd)

Page defaults, not your figures above.

Dry Unit Weight (γd)Moist (bulk) unit weight (pcf)
60 pcf71
80 pcf94.7
100 pcf118
120 pcf142
140 pcf166

Frequently asked questions

Why does the moist unit weight matter more than the dry one?
Because the ground in service is not oven-dry. A compaction report states dry density because that is what compaction is specified against, and carrying it into a retaining wall check as the weight of the retained soil leaves the water out of the driving load — eighteen per cent of it on a soil at 18 per cent water content. The moist figure puts it back: γ = γd × (1 + w).
What is the buoyant unit weight, and when is it used?
The saturated unit weight less the unit weight of water. Below the water table the grains are supported by the water they displace, so what presses down on a footing, or pushes on a wall as soil, is only a little over half the soil's weight in air. The water is not lost: it acts separately, at full hydrostatic pressure with no earth-pressure coefficient, which is why it has its own line in the check.
Why does a degree of saturation over 100 per cent appear?
Because the three inputs did not come from one specimen, or one is mistyped. The voids cannot hold more water than their own volume, so S = w × Gs ÷ e above one is a consistency failure in the laboratory sheet, not a property of the soil. The page reports it as impossible and marks the figures low-confidence rather than capping it at 100.
What value of specific gravity should I use if the report does not give one?
2.65 for sands and 2.70 for clays is the usual assumption, and it should be written on the calculation as an assumption. The phase relations are sensitive to it: on the guide's specimen, moving Gs from 2.68 to 2.65 changes the void ratio from 0.615 to 0.597 and the saturation by about one and a half points.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.