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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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

by Wildenschild et al. (1997), Plagge et al. (1997), Schultze et al. (1997), Wildenschild et al.<br />

(2001). Plagge et al. (1997) investigated both the influence <strong>of</strong> flow rate <strong>an</strong>d the influence<br />

<strong>of</strong> boundary condition on the hydraulic conductivity function. They found <strong>an</strong> increase in<br />

unsaturated hydraulic conductivity with increasing water potential gradients. Wildenschild<br />

et al. (2001) <strong>an</strong>alyzed the flow rate dependency <strong>of</strong> unsaturated hydraulic characteristics us-<br />

ing steady-state <strong>an</strong>d tr<strong>an</strong>sient flow. One-step <strong>an</strong>d multistep experiments were performed<br />

on a s<strong>an</strong>dy soil <strong>an</strong>d a loamy soil. Several processes causing the observed phenomenon were<br />

suggested <strong>an</strong>d discussed on the basis <strong>of</strong> their experimental <strong>an</strong>d theoretical results.<br />

Theoretically the dynamic effect was investigated first by Stauffer (1977), who <strong>an</strong>alyzed<br />

the rate <strong>of</strong> ch<strong>an</strong>ge <strong>of</strong> saturation <strong>an</strong>d the rate <strong>of</strong> ch<strong>an</strong>ge <strong>of</strong> suction for both tr<strong>an</strong>sient state <strong>an</strong>d<br />

steady state experiments. Hass<strong>an</strong>izadeh & Gray (1990, 1993), Hass<strong>an</strong>izadeh et al. (2002) de-<br />

veloped <strong>an</strong>d applied successfully <strong>an</strong> approach including macroscopic bal<strong>an</strong>ce laws, constitutive<br />

relationships for interfacial as well as phase properties <strong>of</strong> the porous medium. They extended<br />

the relationship between suction <strong>an</strong>d saturation as proposed by e.g. Bear & Verruijt (1987).<br />

As a result a model describing two-phase flow in a porous medium based on thermodynamic<br />

theory has been proposed. Detailed investigation on dynamic effects in porous media is given<br />

by M<strong>an</strong>they (2006).<br />

Determination <strong>of</strong> Hydraulic Conductivity Function<br />

The unsaturated hydraulic conductivity c<strong>an</strong> be measured directly <strong>an</strong>d several indirect methods<br />

are also available to determine this relationship. The hydraulic conductivity <strong>of</strong> <strong>an</strong> unsaturated<br />

soil c<strong>an</strong> vary with respect to soil suction by several orders <strong>of</strong> magnitude <strong>an</strong>d is time-consuming<br />

to measure. Direct methods for measuring the unsaturated hydraulic conductivity c<strong>an</strong> be<br />

generally classified as either laboratory techniques or field techniques <strong>an</strong>d c<strong>an</strong> be performed<br />

under steady state condition or tr<strong>an</strong>sient state condition. Outflow methods are not only used<br />

to measure the soil-water characteristic curve <strong>of</strong> a soil but also to measure its unsaturated<br />

hydraulic conductivity. These methods are already explained above. Detailed review <strong>of</strong><br />

outflow methods used for measuring hydraulic conductivity was given by Benson & Gribb<br />

(1997).<br />

- Direct Method performed under Steady State Condition:<br />

Under steady state conditions, a const<strong>an</strong>t hydraulic head or a const<strong>an</strong>t flow rate is<br />

imposed to the specimen under predetermined matric suction. The most commonly used<br />

laboratory technique is the const<strong>an</strong>t head method, where a const<strong>an</strong>t head is maintained<br />

across a soil specimen <strong>an</strong>d the corresponding flow rate through the specimen is measured.<br />

Numerous authors described the const<strong>an</strong>t head method (Corey 1957, Klute 1972, Klute<br />

& Dirksen 1986a, Barden & Pavlakis 1971, Hu<strong>an</strong>g, Fredlund & Barbour 1998). The<br />

const<strong>an</strong>t flow method is a laboratory technique, where a flow rate (hydraulic gradient)

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