Difference between revisions of "3 Phase IPR"

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(Math and Physics)
(Math and Physics)
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The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature:
 
The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature:
 
:<math> V=q_{t_{sc}} \times VF</math> <ref name=KermitBrown1984/>
 
:<math> V=q_{t_{sc}} \times VF</math> <ref name=KermitBrown1984/>
 +
 +
:<math> q_{t_{sc}} </math> can be calculated as:
 +
*[[Vogel's IPR]]
 +
*[[Composite IPR]].
  
 
==[[3 Phase IPR]] calculation example==
 
==[[3 Phase IPR]] calculation example==

Revision as of 07:13, 17 April 2019

Three-phase Inflow Performance Relationship

3 Phase IPR Curve [1]

3 Phase IPR is an IPR curve calculated on the basis of total barrels of produced fluid, including gas.

3 Phase IPR curve is used in Pump Design software for pump sizing.

Math and Physics

The volume of 1 stb of liquid plus associated gas (volume factor) at any pressure and temperature is given by[1]:

 VF=WCUT\ B_w + (1-WCUT)\ B_o + (GLR\ - (1-WCUT)R_s - WCUT\ R_{sw})B_g [1]


The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature:

 V=q_{t_{sc}} \times VF [1]
 q_{t_{sc}} can be calculated as:

3 Phase IPR calculation example

Following the example problem #21, page 33 [1]:

Given:

P_r = 2550 psi
P_b = 2100 psi

Test data:

P_{wf} = 2300 psi
q_t = 500 b/d

Calculate:

Determine the 3 Phase IPR curves for Fw=0, 0.25, 0.5, 0.75, and 1.

Solution:

The problem was run through PQplot software for different values of watercut.

Result 3 Phase IPR curves are shown on Fig.1. Points indicate results obtained by Brown [1].

The PQplot model from this example is available online by the following link: 3 Phase IPR calculation example

Nomenclature

 A, B, C, D, tan(\beta), CD, CG = calculation variables
 F_o = oil fraction, fraction
 F_w = water fraction, fraction
 J = productivity index, stb/d/psia
 P = pressure, psia
 q = flowing rate, stb/d

Subscripts

b = at bubble point
max = maximum
o = oil
r = reservoir
t = total
wf = well flowing bottomhole pressure
wfG = well flowing bottomhole pressure at point G

References

  1. 1.0 1.1 1.2 1.3 1.4 1.5 Brown, Kermit (1984). The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis. Tulsa, Oklahoma: PennWellBookss. 

See also

IPR
Vogel's IPR
Darcy's law