Page 172 - Petrophysics 2E
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PERMEABILITY-POROSITY RELATIONSHIPS 145
100,000
10.000
1.000
22
100
10
0 0.05 0.1 0.15 0.2 0.25
tJm
Figure 3.30. Variations of ka, Qm, and rpa for an ideal system of tube bundles [43].
4 L b
(B)
Figure 3.31. A and B: Variations inflowpath length andpore radius with variations
in grain size [43].
Substituting Equation 3.73 into the above expression, it can be shown
that the change in conductivity caused by the change in pore radius is as
follows:
(3.90)
where = L1/L (Figure 3.3 1 B), Ar = 1 - A1 /Aa, and Ca is the apparent
conductivity of the block such that Equation 3.52 is true. Combining
the Darcy and Poiseuille equations, it can be shown that the effect of
