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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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12 CHAPTER 2. STATE OF THE ART<br />

the net stress <strong>an</strong>d suction stress variables for development <strong>of</strong> a constitutive model describing<br />

the behavior <strong>of</strong> unsaturated cohesionless soils under complex loading conditions <strong>an</strong>d loading<br />

history.<br />

The stress state variable must be measurable or predictable. Thus total stress state,<br />

pore-water pressure <strong>an</strong>d/or pore-air pressure are determined <strong>an</strong>d measured in the laboratory,<br />

when testing unsaturated soils. Using high-air entry disk enables to measure both pore-water<br />

pressure <strong>an</strong>d pore-air pressure independently in unsaturated soils. Measurement devices as<br />

for inst<strong>an</strong>ce tensiometer sensors enable to obtain pore-water pressure. The total stress is<br />

controlled by applying load to the specimen.<br />

2.2.2 Phases in <strong>Unsaturated</strong> Soils<br />

An unsaturated soil is a multi-phase system comprising <strong>of</strong> more th<strong>an</strong> two phases (as in sat-<br />

urated soils), namely the solid phase, the liquid phase including the contractile skin <strong>an</strong>d the<br />

gas phase. The solid phase consists <strong>of</strong> the soil grains. Depending on the grain sizes the soils<br />

may r<strong>an</strong>ge from fine grained soils as silts <strong>an</strong>d clays to coarse grained soils as s<strong>an</strong>ds <strong>an</strong>d grav-<br />

els. The liquid phase consists <strong>of</strong> <strong>an</strong>y liquid or a miscible or immiscible combination <strong>of</strong> two<br />

or more liquids (e.g. water, oil, light non-aqueous-phase-liquid LNAPL, dense non-aqueous-<br />

phase-liquid DNAPL). Additionally the liquid phase may include the contractile skin, which<br />

may act as a tensile force on the liquids surface. In this work the solid phase, the liquid phase<br />

<strong>an</strong>d the gas phase <strong>of</strong> the unsaturated soil are assumed to be the soil solids, water (with the<br />

contractile skin) as well as air, that leads to a 3-phase system. The phases <strong>of</strong> unsaturated soil<br />

are schematically given in Fig. 2.3.<br />

2.2.3 Soil Suction<br />

The total soil suction is referred to the free energy state <strong>of</strong> the soil pore water (Edlefsen &<br />

Anderson 1943, Fredlund & Rahardjo 1993a). The thermodynamic relation between the total<br />

suction or free energy <strong>of</strong> the soil water <strong>an</strong>d the relative humidity <strong>of</strong> the soil air is given in the<br />

following equation:<br />

ψ = − RT<br />

· ln<br />

vw0 · ωv<br />

RH<br />

100<br />

Gas<br />

Fluid including<br />

contractile skin<br />

Soil<br />

Figure 2.3: 3 Phase system representing unsaturated soils<br />

(2.3)

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