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4.3 Simulating flow and transport within the network
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tion of pore-body radii together with three distributions for pore throat radii.
The pore throat radius distributions were chosen to from different degrees of
overlap with the pore-body radius distributions. The network contains 22,491
pores (N i = 51, N j = N k = 21).
Figure 4.2: The distribution of pore-body radius (solid line) together
with distributions of pore-throat radius (R(a), R(b), and R(c)) shown
with dotted lines. The average radius of each distribution is shown
above it.
4.3 Simulating flow and transport within the
network
4.3.1 Flow simulation
In this work, we consider saturated flow through the network. A flow field is
established in the network by imposing two different pressures on two opposing
boundaries of the network. All other boundaries of the network parallel to the
overall flow direction are no-flow boundaries. We assume that the volumetric
discharge, q ij , through a given pore throat,ij, can be prescribed by the Hagen-
Poiseuille equation [Acharya et al., 2004]
q ij = πR4 ij
8µl
73
(P j − P i ) (4.1)