Part 1 of 2
Three-Phase System & Index Properties of Soil
Last reviewed 16 Sept 2026 · 7 min read
The three-phase system
A soil mass consists of solids, water and air. For analysis the phases are separated in a phase diagram:
- Volumes: ,
- Masses (weights): (air has negligible mass)
A dry soil has two phases (solids + air); a saturated soil has two phases (solids + water).
Basic definitions
- Water content (on dry mass; can exceed 100% in soft clays and peat)
- Void ratio (can exceed 1)
- Porosity (always < 1)
- Degree of saturation (0 dry, 1 saturated)
- Air content ; percentage air voids
- Specific gravity of solids (sands ≈ 2.65; clays 2.7–2.8; organic soils lower)
- Bulk unit weight
- Dry unit weight
- Saturated unit weight (all voids full of water)
- Submerged (buoyant) unit weight
- Unit weight of solids
Interrelations
Determination in the laboratory and field
Water content
- Oven-drying method (standard): dry at 105–110 °C for about 24 hours. Organic and gypsum-bearing soils are dried at lower temperature (about 60 °C) to avoid burning or losing water of crystallisation.
- Rapid methods: calcium carbide (moisture meter — acetylene gas pressure), sand bath, torsion balance (infrared), pycnometer (for coarse soils), alcohol method.
Specific gravity (pycnometer / density bottle)
= empty bottle, = bottle + dry soil, = bottle + soil + water, = bottle + water. Density bottle (50 ml) for fine soils; pycnometer (about 1 litre) for coarser soils. Entrapped air must be removed (vacuum or boiling).
Field density
- Core cutter method — soft, cohesive soils free of gravel.
- Sand replacement method — gravelly and hard soils; the volume of the excavated hole is found from calibrated sand.
- Also: water displacement, rubber balloon, nuclear density gauge.
Relative density (density index)
For coarse-grained soils, the state of packing matters more than the water content:
| (%) | Description |
|---|---|
| 0–15 | Very loose |
| 15–35 | Loose |
| 35–65 | Medium dense |
| 65–85 | Dense |
| 85–100 | Very dense |
Relative compaction (used in compaction control).
Grain size analysis
Sieve analysis
For particles coarser than 75 µm: shake through a stack of sieves, plot percentage finer (log scale of size) — the particle size distribution curve.
Sedimentation (hydrometer or pipette) analysis
For particles finer than 75 µm, based on Stokes' law for the terminal velocity of a sphere settling in a fluid:
Valid for particles roughly 0.2 µm to 0.2 mm; assumptions: spherical particles, no interference between particles, laminar settling. A dispersing agent (sodium hexametaphosphate) prevents flocculation.
Grading coefficients
= effective size (10% finer). A soil is well graded when
- gravel: and ,
- sand: and .
Otherwise it is poorly graded — uniform () or gap-graded (missing sizes; outside 1–3).
| Particle sizes (IS 1498) | Range |
|---|---|
| Boulder | > 300 mm |
| Cobble | 80–300 mm |
| Gravel | 4.75–80 mm |
| Sand | 0.075–4.75 mm (coarse 2–4.75, medium 0.425–2, fine 0.075–0.425) |
| Silt | 0.002–0.075 mm |
| Clay | < 0.002 mm |
Consistency (Atterberg) limits
Fine-grained soils pass through states as water content falls: liquid → plastic → semi-solid → solid. The boundaries are:
- Liquid limit (LL, ) — water content at which a groove in the Casagrande cup closes over 12.7 mm (½ inch) in 25 blows; or the cone penetrometer gives 20 mm penetration.
- Plastic limit (PL, ) — water content at which a soil thread just crumbles when rolled to 3 mm diameter.
- Shrinkage limit (SL, ) — the water content below which further drying causes no further volume decrease (the soil is saturated at this point).
- Plasticity index
- Consistency index (1 at PL, 0 at LL; negative if )
- Liquidity index , with
- Flow index (slope of the flow curve)
- Toughness index
- Shrinkage ratio (at SL); shrinkage limit
- Activity
| Plasticity | |
|---|---|
| 0 | Non-plastic |
| < 7 | Low |
| 7–17 | Medium |
| > 17 | High |
| Activity | Clay | Typical mineral |
|---|---|---|
| < 0.75 | Inactive | Kaolinite |
| 0.75–1.25 | Normal | Illite |
| > 1.25 | Active | Montmorillonite |
Sensitivity and thixotropy
| Description | |
|---|---|
| 1 | Insensitive |
| 1–2 | Little sensitive |
| 2–4 | Moderately sensitive |
| 4–8 | Sensitive |
| 8–16 | Extra sensitive |
| > 16 | Quick |
Thixotropy — partial regain of strength with time after remoulding, at constant water content (e.g. drilling mud, pile driving in clay: capacity increases after a rest period).
Worked examples
A moist sample has mass 190 g, volume 100 cm³, and dry mass 160 g; = 2.70. Find , , , , , and percentage air voids.
Solution. ; g/cm³; g/cm³ ; ;
A saturated clay has = 40% and = 2.70. Find , and ( = 9.81 kN/m³).
Solution. ;
A clay has LL = 55%, PL = 25%, natural water content 35% and 30% clay fraction. Find , , and activity.
Solution. ; ; ; (normal clay).
A sand has = 0.90, = 0.45 and in-situ = 0.60. Find .
Solution. → dense.
Frequently tested points
- ; ; ; .
- Water content by oven drying at 105–110 °C for 24 h.
- , ; well graded sand , gravel , .
- Stokes' law: .
- LL at 25 blows (or 20 mm cone penetration); PL at 3 mm thread.
- ; activity > 1.25 active (montmorillonite).
- Sensitivity > 16 → quick clay.
- Using total mass instead of dry mass in water content.
- Confusing porosity (on total volume) with void ratio (on solids volume).
- Using in the flow index.
- Phase relations link water content, voids, saturation and unit weights.
- Laboratory and field tests measure , and density.
- Relative density describes coarse soils; grading curves describe size distribution.
- Atterberg limits and indices describe fine soils; activity and sensitivity add mineral and structure information.