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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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180CHAPTER 8. NEW SWCC MODEL FOR SAND INCLUDING SCANNING CURVES<br />

40 50<br />

30 Values<br />

Observed<br />

10 20 30 40 50 Predicted Values 0 10 20<br />

110<br />

10<br />

<strong>of</strong> observations<br />

Number<br />

stest column test I Loose specimen Initial void ratio = 0.89 2nd drainage Tr<strong>an</strong>sient<br />

rate = 100 ml/min TDR/T 160 mm Flow<br />

-0,4 -0,2 0,0 0,2 0,4 0,6 Residual Values 0123456789<br />

-0,6<br />

0,4 0,6<br />

0,2 Values<br />

Residual<br />

10 20 30 40 50 Predicted Values -0,6 -0,4 -0,2 0,0<br />

0<br />

1,0 1,5 2,0 2,5<br />

0,5 Normal Value<br />

Expected<br />

0.85 0.95 0.99<br />

0.70<br />

-0,4 -0,2 0,0 0,2 0,4 0,6 Residuals -2,5 -2,0 -1,5 -1,0 -0,5 0,0<br />

0.01 0.05 0.15 0.30 0.50<br />

-0,6<br />

Figure 8.7: Model validation results from 2 nd drainage process (loose specimen, TDR/T160<br />

mm)<br />

Appendix E) for dense specimen during drainage process that is attributed to the minor<br />

set <strong>of</strong> data, where only few results are available in the unsaturated zone (θ < 34%) <strong>an</strong>d<br />

most data are available in the saturated zone (θ = 34%).<br />

Plots <strong>of</strong> residual versus predicted variables <strong>an</strong>d observed versus predicted variables are<br />

given in Fig. 8.8 <strong>an</strong>d 8.9 for imbibition process <strong>of</strong> loose specimen (<strong>an</strong>d respectively in<br />

Appendix E in Figs. E.8 <strong>an</strong>d E.9 for dense specimen). The plots <strong>of</strong> the observed versus<br />

predicted values from imbibition curve show slight variations between measured <strong>an</strong>d<br />

calculated values. Nevertheless the points are linear related. The scatterplots <strong>of</strong> the<br />

residual versus predicted values are r<strong>an</strong>domly distributed in Fig. 8.9. Non-r<strong>an</strong>domness<br />

is observed in Fig. 8.8. Similar to the results derived from drainage curve fit the points<br />

are crowded in the saturated zone <strong>an</strong>d in the residual zone, where most measurements<br />

were achieved while withdrawing <strong>an</strong>d injecting water.<br />

- Normal probability plot:<br />

The normal probability plots in Figs. 8.6 <strong>an</strong>d 8.9 from both, drainage <strong>an</strong>d imbibition<br />

process, show that it is reasonable to assume that the r<strong>an</strong>dom errors <strong>of</strong> the process are

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