Difference between revisions of "P/Z plot"

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(Brief)
(Brief)
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The [[P/Z plot]] is based on the [[Gas Material Balance]] equation.
 
The [[P/Z plot]] is based on the [[Gas Material Balance]] equation.
  
[[File:PoverZ.png|thumb|right|400px|link=https://ep.pengtools.com/reservoir/plots| P/Z plot in the at ep.pengtools.com|right]]
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[[File:PoverZ.png|thumb|right|500px|link=https://ep.pengtools.com/reservoir/plots| P/Z plot in the at ep.pengtools.com|right]]
  
 
== Math & Physics ==
 
== Math & Physics ==

Revision as of 11:40, 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.

P/Z plot in the at ep.pengtools.com

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 the Reservoir Management workflow of the E&P Portal to estimate Reservoirs GIIP.

Gas Flowing Material Balance is the more advanced tool to determine the Reservoirs GIIP as well as Well's EUR and JD.

Nomenclature

 GIIP = gas initially in place, scf
 G_p = cumulative gas produced, scf
 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), scf
 V_r = reservoir volume (constant), ft3
 z = gas compressibility factor (changing), dimensionless
 z_i = initial gas compressibility factor (constant), dimensionless