25.01.2013 Views

Hydro-Mechanical Properties of an Unsaturated Frictional Material

Hydro-Mechanical Properties of an Unsaturated Frictional Material

Hydro-Mechanical Properties of an Unsaturated Frictional Material

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

8.2. SOIL-WATER CHARACTERISTIC CURVE MODEL 179<br />

processes are shown in Figs. 8.8 <strong>an</strong>d 8.9 for loose specimen. These figures depict the outcome<br />

from the residual <strong>an</strong>alysis for the three test phases used in building the 2D models. The plots<br />

<strong>of</strong> observed versus residual values, observed versus predicted values are shown as well as the<br />

normal probability plots <strong>an</strong>d histograms.<br />

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

50<br />

40<br />

Values 30<br />

Observed<br />

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

given in Fig. 8.6 <strong>an</strong>d 8.7 for drainage process (appropriate results from dense specimen<br />

are given in Figs. E.6 <strong>an</strong>d E.7 in Appendix E). The points in the plots <strong>of</strong> the observed<br />

versus predicted values are close to the bisection line that indicates a small error in<br />

observed <strong>an</strong>d predicted values. The plots <strong>of</strong> the residuals versus predicted values do not<br />

exhibit <strong>an</strong>y systematic structure <strong>an</strong>d thus indicate that the model fits the experimental<br />

data well. Even the points are crowded in the saturated zone <strong>an</strong>d residual zone the<br />

r<strong>an</strong>ge <strong>of</strong> residuals looks essentially const<strong>an</strong>t across the levels <strong>of</strong> the predicted values.<br />

Additionally it is stated here, that some discrep<strong>an</strong>cies c<strong>an</strong> be observed in Fig. E.7 (see<br />

20<br />

10<br />

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

60 70 80 90<br />

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

Number<br />

state column test I Loose specimen Initial void ratio = 0.89 1st drainage Tr<strong>an</strong>sient<br />

rate = 30 ml/min TDR/T 70 mm Flow<br />

-0,6 -0,4 -0,2 0,0 0,2 0,4 0,6 0,8 Residual Values 0 10 20 30 40<br />

-0,8<br />

Residual Values<br />

0,4 0,6 0,8<br />

0,2<br />

-0,6 -0,4 -0,2 0,0<br />

-0,8<br />

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

-0,6 -0,4 -0,2 0,0 0,2 0,4 0,6 0,8 Residuals -4 -3 -2 -101234<br />

Expected Normal Value<br />

0.01 0.05 0.15 0.50 0.85 0.95 0.99<br />

-0,8<br />

Figure 8.6: Model validation results from 1 st drainage process (loose specimen, TDR/T70<br />

mm)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!