Difference between revisions of "P/Z plot"
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− | :<math> \frac{G_p}{GIIP}=1-\frac{P}{z} \frac{z_i}{P_i | + | :<math> \frac{G_p}{GIIP}=1-\frac{P}{z} \frac{z_i}{P_i}</math> |
== Discussion == | == Discussion == |
Revision as of 08:54, 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.
Math & Physics
The P/Z plot is based on the Gas Material Balance equation.
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:
Discussion
Griffith correlation adds a hook to the originally straight Hagedorn and Brown VLP curve.
Nomenclature
- = pipe diameter, ft
- = gas holdup factor, dimensionless
- = bubble-slug boundary, dimensionless
- = gas velocity, ft/sec
- = liquid velocity, ft/sec
- = 0.8, slip velocity (difference between average gas and liquid velocities), ft/sec
References
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