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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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

DrainageImbibition<br />

b) c) d) a)<br />

Figure 2.11: Capillary rise in tubes different in diameter <strong>an</strong>d drainage as well as imbibition<br />

process in tubes with varying diameters (Haines 1930, Miller & Miller 1988)<br />

- Snap-<strong>of</strong>f effect (Chatzis & Dullien 1983)<br />

The inclusion <strong>of</strong> the non-wetting phase (i.e. gas) during the wetting cycle is known as<br />

snap-<strong>of</strong>f effect. In Fig. 2.12 c<strong>an</strong> be seen that it depends on the diameter <strong>of</strong> the pore<br />

bodies <strong>an</strong>d the pore necks.<br />

- Effect <strong>of</strong> by-passing (Chatzis & Dullien 1983)<br />

Consider the combining <strong>of</strong> two capillary tubes different in diameter. The system is fluid<br />

saturated <strong>an</strong>d starts to drain. Then the non-wetting phase (gas) is replacing the wetting<br />

phase (fluid). Due to less capillarity the larger tube is first filled with gas. In the smaller<br />

tube fluid is still retained <strong>an</strong>d separated from the fluid continuum causing entrapped<br />

fluid (see Fig. 2.13). Vice versa during imbibition process entrapment <strong>of</strong> gas occurs.<br />

Y<strong>an</strong>g, Rahardjo, Leong & Fredlund (2004b) discussed the hysteretic behavior <strong>an</strong>d correlated<br />

it to grain size parameters (e.g. grain size parameter d10).<br />

The relev<strong>an</strong>ce <strong>of</strong> the hysteresis mech<strong>an</strong>ism is still a topic <strong>of</strong> discussion. However, in the<br />

context <strong>of</strong> coarse-grained gr<strong>an</strong>ular material, such as s<strong>an</strong>d used in this study, hysteresis is most<br />

phase<br />

Figure 2.12: Influence <strong>of</strong> the pore geometry on the inclusion <strong>of</strong> a fluid caused by snap-<strong>of</strong>f<br />

effect (Chatzis <strong>an</strong>d Dullien 1983)<br />

neck body phase Non-wetting Wetting phase<br />

Non-wetting phase Wetting Pore Pore

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