Difference between revisions of "P/Z plot"
(→Nomenclature) |
(→Math & Physics) |
||
| Line 25: | Line 25: | ||
Therefore at any time: | Therefore at any time: | ||
| − | :<math> \frac{G_p}{GIIP}=1-\frac{P}{z} \frac{z_i}{P_i}</math> | + | :<math> \frac{G_p}{GIIP}=1-\frac{P}{z} \frac{z_i}{P_i}</math> |
| + | |||
| + | Or: | ||
| + | :<math> \frac{P}{z}=\frac{P_i}{z_i} \left (1- \frac{G_p}{GIIP}\right )</math> | ||
Thus a plot of P/z vs cumulative produced gas is a straight line intersecting X axis at GIIP. | Thus a plot of P/z vs cumulative produced gas is a straight line intersecting X axis at GIIP. | ||
Revision as of 09:14, 21 November 2017
Brief
The P/Z plot is a plot of P/z versus cumulative gas production, Gp.
The interpretation technique is fitting the data points with the straight line to estimate GIIP.
The P/Z plot is based on the Gas Material Balance equation.
Math & Physics
Applying Real Gas EOS at reservoir conditions:
(1)
Applying Real Gas EOS at standard conditions:
(2)
Dividing eq. 2 by eq. 1 and rearranging:
(3)
Applying eq. 3 for initial conditions and for any point in time:
Applying eq. 3 for any point in time:
Therefore at any time:
Or:
Thus a plot of P/z vs cumulative produced gas is a straight line intersecting X axis at GIIP.
Discussion
Griffith correlation adds a hook to the originally straight Hagedorn and Brown VLP curve.
Nomenclature
= gas initially in place, ft3
= reservoir pressure (changing), psia
= initial reservoir pressure (constant), psia
= pressure at standard conditions, psia
= initial reservoir pressure (constant), °R
= reservoir pressure (constant), °R
= temperature at standard conditions (constant), °R
= reservoir volume (constant), ft3
= volume of gas in reservoir converted to standard conditions (changing), ft3
= gas compressibility factor (changing), dimensionless
References
Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.
Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.
Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.
