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download pdf version of PhD book - Universiteit Utrecht

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5. Pore-Network Modeling <strong>of</strong> Two-Phase Flow<br />

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

0.6<br />

Velocity [m/day]<br />

0.4<br />

0.2<br />

0<br />

2 3 4 5 6 7 8 9<br />

Pore throat radius [m]<br />

x 10 −5<br />

(a)<br />

0.5<br />

Velocity [m/day]<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

2 4 6 8<br />

Pore throat radius [m] x 10 −5<br />

(b)<br />

Figure 5.10: Scatter diagram <strong>of</strong> velocities vs. pore throat radius in (a) the<br />

regular pore network and (b) within the MDPN model. Direction number 1<br />

is shown using (red) dots, where (blue) squares and (black) circles are used to<br />

show directions number 2 and 3, respectively. To keep the figure less crowded<br />

we have only shown scatter diagram <strong>of</strong> velocities in directions number 1, 2 and<br />

3 <strong>of</strong> MPNM.<br />

5.4.2.1 Generic pore networks<br />

We constructed three networks <strong>of</strong> size N i = N j = N k = 20, which results in<br />

8,000 lattice points for each network. The pore size distributions were presented<br />

112

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