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download pdf version of PhD book - Universiteit Utrecht

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5.4 Results<br />

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .<br />

(a)<br />

Relative permeability<br />

1<br />

0.5<br />

0<br />

0 0.2 0.4 0.6 0.8 1<br />

Saturation<br />

(b)<br />

Figure 5.12: Relative permeability curves for (a) pore network R 1 and (b) pore<br />

network R 3 (pore network R 2 showed similar results and is not shown here). The<br />

plots with g ∗ = 1.3E − 3 show the case <strong>of</strong> cubic pore bodies (45dge angles). The<br />

solid lines (without markers) show the relative permeability when the resistance<br />

to the flow within pore bodies is neglected.<br />

From Figure (5.12), it is clear that including the resistance to the flow within<br />

the pore bodies results in considerably smaller values for k r . That is, neglecting<br />

the resistance to the flow within pore bodies will cause overestimation <strong>of</strong> the<br />

relative permeability. Clearly, this overestimation is less when pore bodies have<br />

high values <strong>of</strong> conductances.<br />

115

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