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A P ( 2 P 2 )
Q gas s.c. k per.g. 1 2 , (3.3)
2 g L P atm
where Q gas s.c. is the volumetric flow rate of gas under standard
3
conditions (atmospheric pressure and standard temperature), m /s; P
atm
is atmospheric pressure, Pa, is dynamic viscosity of gas (air), Pаs;
g
P is inlet absolute pressure, Pa; P is outlet absolute pressure, Pa
2
1
(usually P = P );
2 0
,
/
P P P (3.4)
1 1 0
/
where P is the manometer (surplus) pressure at the entrance of the
1
core, Pa.
The equation (3.3) is obtained after such transformation as putting
into the equation (3.2) volumetric flow rate of gas reduced to the
-
average pressure in the sample Q (the average flow rate of gas under
gas
conditions of the sample) instead of volumetric flow rate of liquid.
-
The average flow rate of gas under conditions of the rock sample Q
gas
is determined according to Boyle’s law.
So the equation for determining the permeability coefficient of
rock for gas k under condition of gas filtration by the linear law of
рer.g.
filtration (Darcy’s law) after the transformations mentioned above can
be expressed as:
2 Q gas s.c. P atm L g
.
k рer.g. 2 2 (3.5)
A P ( P )
1 2
The unit of measurement (dimension) of permeability coefficient
(in SI system) follows from the equation (3.2):
17