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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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

When using v<strong>an</strong> Genuchtens model for inverse simulation <strong>of</strong> hydraulic unsaturated soil<br />

properties (Eching et al. 1994, Dam et al. 1994, Zurmühl & Durner 1996) demonstrated<br />

that the multistep method is superior to the one-step method.<br />

- Inverse procedure using experimental results derived from the continuous flow method<br />

Alternatively to the one step <strong>an</strong>d multistep method Durner (1991) suggested the con-<br />

tinuous flow method. A comparison <strong>of</strong> inverse modeling <strong>of</strong> one-step, multistep <strong>an</strong>d<br />

continuous flow method experiments by Durner et al. (1999) showed that the multi-<br />

step method <strong>an</strong>d the continuous flow method are the preferred methods to identify<br />

unsaturated hydraulic parameters.<br />

A free-form parameterization approach for estimation <strong>of</strong> soil hydraulic properties was sug-<br />

gested by Bitterlich et al. (2004) to avoid <strong>of</strong>ten experienced problems <strong>of</strong> ill-posedness <strong>of</strong><br />

inverse problems. Mathematical <strong>an</strong>d numerical modeling concepts for simulation <strong>of</strong> unsatu-<br />

rated/multiphase flow were discussed in detail by Helmig (1997).<br />

2.7 Volumetric Behavior <strong>of</strong> Partially Saturated Soils<br />

In the review below it is focused on one-dimensional behavior <strong>of</strong> s<strong>an</strong>d that is derived from<br />

one dimensional compression <strong>an</strong>d rebound tests performed in oedometer cell.<br />

2.7.1 Stress-Strain Behavior<br />

Several tests are available to measure the stress-strain behavior <strong>of</strong> a soil, e.g. the isotropic<br />

compression test, the one-dimensional compression test, the triaxial test or the direct shear<br />

test. In the present study the stress-strain behavior <strong>of</strong> unsaturated soil was investigated using<br />

one-dimensional compression <strong>an</strong>d rebound tests. This type <strong>of</strong> experiments are performed in<br />

conventional oedometer cells. The test includes the application <strong>of</strong> stress to a soil specimen<br />

along the vertical axis, while the strain in the horizontal direction is restricted. Typical<br />

results are shown in Fig. 2.28. For determination <strong>of</strong> stress-strain behavior one-dimensional<br />

compression <strong>an</strong>d rebound test is <strong>of</strong>ten used, because it is simple to perform <strong>an</strong>d the strain<br />

condition in the soil specimen is approximately similar to the situation <strong>of</strong> the soil in civil<br />

engineering problems as settlements <strong>of</strong> <strong>an</strong> emb<strong>an</strong>kment. The loading <strong>of</strong> a soil specimen c<strong>an</strong><br />

be applied either under drained or undrained conditions. Under drained condition the pore-air<br />

<strong>an</strong>d pore-water pressure are allowed to drain during testing procedure while under undrained<br />

condition the total stress is applied to the specimen resulting in <strong>an</strong> excess <strong>of</strong> pore-water <strong>an</strong>d<br />

pore-air pressure (Rahardjo & Fredlund 2003). Major problem when dealing with oedometer<br />

is the friction between the soil sample <strong>an</strong>d the oedometer ring, where shear forces develop. The<br />

presence <strong>of</strong> side friction disturbs the one-dimensional state <strong>of</strong> strain <strong>an</strong>d prevents the applied<br />

axial force to reach to 100% the bottom part <strong>of</strong> the specimen. For minimizing this effect the

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