Unsaturated Soil Mechanics

Table of contents

Unsaturated soil mechanics deals with the behaviour of soils where the pore spaces contain both water and air.

Most geotechnical problems in Australia involve unsaturated conditions, particularly in arid and semi-arid regions where the water table is deep below the ground surface.

What Are Unsaturated Soils?

An unsaturated soil has three phases: solid particles, water, and air. The presence of air creates pore water tension (suction) that significantly influences the soil's strength, stiffness, and volume change behaviour.

Key Differences from Saturated Soil Mechanics

Aspect Saturated Soil Unsaturated Soil
Pores Fully filled with water Water and air coexist
Effective stress σ' = σ - u_w σ' = (σ - u_a) + χ(u_a - u_w)
Shear strength Depends on effective stress Depends on net stress + suction
Volume change Consolidation Swelling/collapse on wetting
Permeability Constant for given void ratio Varies with degree of saturation

Soil Suction

Soil suction is the negative pore water pressure that holds water in the soil pores. It has two components:

Component Description Measurement
Matric suction (u_a - u_w) Capillary and adsorptive forces within the soil matrix Tensiometer, filter paper, axis translation
Osmotic suction Dissolved salts in pore water Electrical conductivity, filter paper
Total suction Sum of matric + osmotic Thermocouple psychrometer, filter paper

Soil Water Characteristic Curve (SWCC)

The SWCC (also called the Soil-Water Retention Curve) describes the relationship between soil suction and water content (or degree of saturation). It is the fundamental constitutive relationship for unsaturated soil behaviour.

Typical SWCC Shape:

  • Low suction (< 100 kPa) — large pores drain first
  • Intermediate suction (100–1,000 kPa) — intermediate pores
  • High suction (> 1,000 kPa) — small pores, adsorbed water
Soil Type Air Entry Value (kPa) Residual Suction (kPa)
Sand 2–10 10–100
Silt 10–50 100–500
Clay 50–500 500–10,000+

Laboratory Testing Methods

SWCC Measurement

Method Suction Range Test Duration Standard
Axis Translation (Tempe Cell) 0–500 kPa 1–4 weeks ASTM D6836
Axis Translation (Pressure Plate) 0–1,500 kPa 2–8 weeks ASTM D6836
Filter Paper Method 100–10,000+ kPa 7–14 days ASTM D5298
Chilled Mirror Hygrometer 1,000–300,000 kPa 1–2 hours ASTM D6836
Tensiometer 0–100 kPa Continuous Field and lab

Unsaturated Triaxial Testing

Measures shear strength and volume change under controlled suction conditions using the axis translation technique with a high air entry (HAE) ceramic disc.

Test Type Parameters Application
Unsaturated CD c', φ', φᵇ (suction angle) Long-term drained strength
Unsaturated CU Undrained strength with suction Short-term loading

Constant Water Content (CW) Tests

For simulating rapid loading of unsaturated soils where drainage cannot occur.

Applications in Australia

Expansive Clay Behaviour

Reactive clay soils in Australia repeatedly wet and dry with seasonal climate cycles. Understanding unsaturated soil mechanics is essential for:

  • AS 2870 site classification — predicted surface movement (Yₛ) based on suction change
  • Foundation movement — heave/shrinkage prediction
  • Slab design — reinforcement and articulation requirements

Collapse Settlement

Some unsaturated soils (typically silty sands or low-density fills) undergo collapse on wetting — a sudden, large volume reduction without additional load. Common in:

  • Aeolian (wind-blown) sands — parts of SA and WA
  • Colluvial and alluvial fans — foothills of NSW and VIC
  • Uncontrolled fill — collapsing on first wetting after construction

Slope Stability

Rainfall-induced landslides are controlled by changes in soil suction:

  • During dry periods, suction maintains slope stability
  • Rainfall infiltration reduces suction, decreasing shear strength
  • The wet season failure mechanism is a classic unsaturated soil problem

Pavement Design

  • Subgrade suction affects pavement performance
  • CBR and stiffness depend on moisture condition
  • Pavement design must consider the equilibrium suction under sealed pavements

Mine Waste and Tailings

  • Cover system design for tailings storage facilities
  • Vertical moisture barriers
  • Capillary break design

Key Parameters for Engineering Design

Parameter Symbol How Determined Use
Air entry value ψaev SWCC Onset of desaturation
Residual suction ψr SWCC Below this, water is immobile
Saturated permeability ks Lab test Upper bound of hydraulic conductivity
Unsaturated permeability k(ψ) SWCC + ks model Water flow in unsaturated zone
Suction strength angle φᵇ Unsaturated triaxial Suction contribution to strength
Collapse index Icp Double oedometer Collapse potential on wetting

Numerical Modelling

Software capable of unsaturated flow and coupled stress analysis:

  • SEEP/W (GeoStudio) — unsaturated seepage modelling
  • SVFlux — variably saturated flow
  • FLAC — coupled hydro-mechanical analysis
  • Plaxis 2D/3D — unsaturated soil models (Barcelona Basic Model)
  • UNSAT-H — unsaturated flow in soils

Frequently Asked Questions

Why can't we just use saturated soil mechanics?

Saturated soil mechanics significantly underestimates the strength and overestimates the compressibility of unsaturated soils. This leads to overly conservative (expensive) designs — or in some cases (expansive soils), unconservative designs.

Do Australian standards address unsaturated soil?

AS 2870 addresses reactive soils using an empirical approach based on the shrink/swell index and design suction profiles (climate zones). However, most Australian standards do not explicitly use unsaturated soil mechanics — practical design relies on empirical correlations.

Is unsaturated soil testing expensive?

Yes — unsaturated triaxial tests are more costly than standard triaxial tests (typically 2–3× more) due to the specialised equipment and longer test durations. SWCC testing costs $500–$2,000 per curve depending on suction range.

When is unsaturated testing necessary?

  • Sites with reactive clays (AS 2870 classifications M–E)
  • Collapse-susceptible soils
  • Rainfall-triggered landslide assessment
  • Cover system design for mine waste
  • Nuclear waste storage or deep geological disposal