Difference between revisions of "P/Z plot"

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[[P/Z Plot]] is a part of [[Reservoir Management]] workflow of the [[:Category:E&P Portal]].
 
[[P/Z Plot]] is a part of [[Reservoir Management]] workflow of the [[:Category:E&P Portal]].
 
[[:Category:sPipe|sPipe]]
 
  
 
== Nomenclature  ==
 
== Nomenclature  ==

Revision as of 10:47, 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:

 PV_r=z\frac{m}{M} RT_r (1)

Applying Real Gas EOS at standard conditions:

 P_{SC}V_g=1\frac{m}{M} RT_{SC} (2)

Dividing eq. 2 by eq. 1 and rearranging:

 V_g=\frac{P}{z} \frac{V_rT_{SC}}{P_{SC}T_{r}} (3)

Applying eq. 3 for initial conditions and for any point in time:

 GIIP=\frac{P_i}{z_i} \frac{V_rT_{SC}}{P_{SC}T_{r}}

Applying eq. 3 for any point in time:

 GIIP-G_p=\frac{P}{z} \frac{V_rT_{SC}}{P_{SC}T_{r}}

Therefore at any time:

 \frac{G_p}{GIIP}=1-\frac{P}{z} \frac{z_i}{P_i}

Or:

 \frac{P}{z}=\frac{P_i}{z_i} \left (1- \frac{G_p}{GIIP}\right )

Thus a plot of P/z vs cumulative produced gas is a straight line intersecting X axis at GIIP.

Discussion

P/Z Plot is a part of Reservoir Management workflow of the Category:E&P Portal.

Nomenclature

 GIIP = gas initially in place, ft3
 P = reservoir pressure (changing), psia
 P_{i} = initial reservoir pressure (constant), psia
 P_{SC} = pressure at standard conditions, psia
 T_i = initial reservoir pressure (constant), °R
 T_r = reservoir pressure (constant), °R
 T_{SC} = temperature at standard conditions (constant), °R
 V_g = volume of gas in reservoir converted to standard conditions (changing), ft3
 V_r = reservoir volume (constant), ft3
 z = gas compressibility factor (changing), dimensionless

References

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