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A sandstone has a porosity of 25% and permeability of 300 md. Calculate the surface area Sp, the specific surface area per unit pore volume.
The Kozeny-Carman equation for finding permeability is given as,
Permeability
Where,
a is the proportionality and unity factor = 789343.858 md/mm2 (for sandstone)
is the porosity = 0.25
Dp is the average diameter in mm
Solving for Dp in the above equation, we get
Assuming the sandstone particles to be roughly spherical in shape,
The specific surface area can be given as:
Where, r = Dp/2 = 0.11696/2
r = 0.058 mm
Thus the specific surface area per unit volume = 0.04225 mm2