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Appendix<br />

by O’Sullivan et al. (1998) is given in Figure 5. This shows a very large deviation for both<br />

uniform and stratified soil. This suggests that either the soil specific parameters used to<br />

describe the sandy loam soil of the model do not adequately describe the sandy loam soil used<br />

in the soil bin or there are substantial errors in the model. The latter is unlikely as O’Sullivan<br />

et al. (1998) showed close agreement for other soil types. Consequently the VCL parameters<br />

for the sandy loam of the Cottenham Series (which was used by Ansorge (2005) and this<br />

study) have to be different from the sandy loam soil described by O’Sullivan et al. (1998) and<br />

used by the original COMPSOIL model and hence need to be determined.<br />

Depth (mm)<br />

0<br />

100<br />

200<br />

300<br />

400<br />

500<br />

600<br />

700<br />

800<br />

Deform ation (m m)<br />

-20 0 20 40 60 80 100<br />

Figure 5: Measured (solid line) and predicted (broken line) soil displacement for<br />

900mm section width tyre at 10.5t load and 1.9bar inflation pressure on<br />

uniform (□) and stratified (×) soil conditions (measured data from Ansorge<br />

(2005))<br />

The VCL as defined by Schofield and Wroth (1968) is a unique linear function relating the<br />

relative density of a soil at given moisture content to the natural logarithm of the spherical<br />

pressure it is subjected to. According to their definition spherical pressure is the arithmetical<br />

average of major, intermediate, and minor principle stress, � 1,<br />

� 2 , and � 3 , respectively. As<br />

mathematically this is the definition of the mean normal pressure p, this paper will use the<br />

term mean normal pressure after O’Sullivan et al. (1998) when developing the COMPSOIL<br />

model.<br />

The VCL is usually obtained from plotting the relative density (ratio of the maximum soil<br />

density (2.66 g/cm 3 ) to the resulting dry bulk density) against mean normal pressure measured<br />

with triaxial cell tests. For the assessment of the in-situ VCL in the soil bin the relative<br />

Ph.D. Thesis Dirk Ansorge (2007)<br />

203

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