Environmental Engineering Reference
In-Depth Information
Question #3.3
ʼ
wwf
Temperature = 190 °F
Water salinity = 100,000 ppm NaCl
Find
ʼ
wwf
=
___
cp
Gas
Gas Formation Volume Factor B
g
. The behavior of natural gases is non ideal. Thus,
the ideal gas law needs a “fudge factor” to make it truly reflect the behavior of natu-
ral hydrocarbon gases. This fudge factor is given the symbol
Z
and is known as the
supercompressibility factor
.
The ideal gas law can then be re-written as:
V
VZ
T
T
p
p
1
1
==´´
sc
sc
wf
B
If the
Z
factor is known for the conditions encountered and the gas in question,
then
B
g
may be found by direct solution of this equation. However,
Z
is not normally
known. A short-cut method uses Fig.
3.12
, which requires only temperature, pres-
sure, and gas gravity as inputs;
1
/
B
g
may be read directly as output.
An example of how to use the “quick look” chart to find
1
/
B
g
and hence
V
gwf
is
straightforward.
If
V
gsc
= 400 cubic ft, ʳ
g
= 0.70,
T
wf
= 200 °F and
P
wf
= 2,000 psia.
Then select the ʳ
g
= 0.70 section and enter the abscissa at 2,000 psia. From there
go vertically to 200 °F and then left to
1
/
B
g
= 125.
Remembering that
1
/
B
g
= 125 =
V
gac
/
V
gwf
it follows that
V
gwf
= 3.2 cubic ft.
g
wf
wf
sc
Question #3.4
B
g
Pressure = 3,000 psi
Temperature = 200 °F
Gas gravity = 0.7
Find 1/
B
g
=
___
When more accurate results are required, the
Z
factor must be determined. This
is a more laborious task and involves:
1. finding the pseudo-critical pressure (
p
pc
)
2. finding the pseudo-critical temperature (
T
pc
)
3. finding the pseudo-reduced pressure (
p
pr
)
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