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an engineering geological characterisation of tropical clays - GBV

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119<br />

Primary consolidation is a time-dependent compression due to dissipation <strong>of</strong> excess pore<br />

pressure under loading. This phase is accounted for by the Terzaghi consolidation theory<br />

(Terzaghi, 1925), <strong>an</strong>d relates closely to the theoretical curve for most <strong>clays</strong>. It is therefore<br />

used in m<strong>an</strong>y applications to make estimation <strong>of</strong> settlements.<br />

Secondary compression continues after the excess pore pressure <strong>of</strong> the primary consolidation<br />

phase has virtually dissipated, <strong>an</strong>d is most probably a result <strong>of</strong> continued movement <strong>of</strong><br />

particles as the soil structure adjusts itself to increasing effective stress.<br />

The primary consolidation phase is usually used to determine the coefficient <strong>of</strong> consolidation,<br />

cv, for each increment <strong>of</strong> loading through a curve fitting process, which entails comparing a<br />

laboratory consolidation curve with the theoretical curve. In this study, two curve fitting<br />

procedures were adopted <strong>an</strong>d include the log-time method (after Casagr<strong>an</strong>de, 1936), in which<br />

a graphical <strong>an</strong>alysis <strong>of</strong> log-time/ settlement curves was done (Fig. 7.13); <strong>an</strong>d the square-roottime<br />

method (after Taylor, 1942; Barden, 1965) in which a graphical <strong>an</strong>alysis <strong>of</strong> square-roottime/<br />

settlement curves was undertaken (Fig. 7.14).<br />

In this study, the log –time plot was used in the <strong>an</strong>alysis <strong>of</strong> black <strong>clays</strong> whose settlement<br />

curves were generally <strong>of</strong> the conventional shape (Fig. 7.16). However, the square-root plot<br />

was used in the <strong>an</strong>alysis <strong>of</strong> the rather silty red soils, in which otherwise evaluation <strong>of</strong> initial<br />

consolidation conditions, i.e. the do point <strong>of</strong> deformation corresponding to U = 0% primary<br />

consolidation using the log-time method was difficult due to the unconventional shape <strong>of</strong><br />

settlement curves produced (Fig. 7.17).<br />

7.4.3 Consolidation coefficients <strong>an</strong>d other parameters<br />

7.4.3.1 Coefficient <strong>of</strong> consolidation (cv)<br />

This parameter relates the ch<strong>an</strong>ge in excess pore pressure with respect to time, to the amount<br />

<strong>of</strong> water draining out <strong>of</strong> the voids <strong>of</strong> a clay layer during the same time, as a result <strong>of</strong><br />

consolidation.<br />

The coefficient <strong>of</strong> consolidation for a given load increment in a consolidation test c<strong>an</strong> be<br />

determined by re-writing Equation (7.28), i.e.<br />

cv = (Tv/t) * h² (mm²/min) (7.30)<br />

where t (min) = time for a given percentage <strong>of</strong> primary consolidation<br />

h (mm) = length <strong>of</strong> maximum drainage path<br />

A log-time graphical <strong>an</strong>alysis using time t50 corresponding to 50% primary consolidation (i.e.<br />

U = 50%) <strong>an</strong>d theoretical time factor T50 = 0,197 (Table 7.11) tr<strong>an</strong>sforms Equation (7.30) into<br />

cv = (T50/t50) * h²<br />

= 0,197 * (h²/t50)<br />

or cv = (0,197 * (h/1000)²)/(t50/(60*24*365,25)<br />

i.e., cv = 0,1036h²/t50 (m²/year) (7.31)<br />

In the st<strong>an</strong>dard oedometer consolidation test as used in this study, with double drainage to<br />

both the lower <strong>an</strong>d upper surfaces, the height <strong>of</strong> the specimen H' (mm) is equal to 2h.<br />

Therefore Equation (7.31) becomes

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