Abrine is used to measure the absolute permeability of a core plug. the rock sample is 4 cm long and 3 cm 2 in cross section. the brine has a viscosity of 1.0 cp and is flowing a constant rate of 0.5 cm3/sec ( cube centimeter per second) under a 2.0 atm pressure differential.
calculate the absolute permeability.

Answer : The absolute permeability is, 0.111 darcys.

Explanation : Given,

Volumetric constant rate =

Cross section area =

Pressure = 2 atm

Viscosity = 1.0 cp

Length of rock = 4 cm

From the Darcy equation  we conclude that,

where,

A = cross section area

P = pressure

= viscosity

l = length of rock

Now put all the given values in the above formula, we get:

Therefore, the absolute permeability is, 0.111 darcys.

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