Vogel IPR problems generally involve: 1) calculating Vogel IPR using
the qo/qmax equation (see 7 PRD 1 on how to calculate qmax from a given well test, in this case say, 600 BOPD), 2) calculate qo for a range of FBHP that crossover the TBG curve, and 3) note that the well's natural flow rate is where the IPR & TBG
curves cross. That's it.
From the calculated and plotted IPR example below, it's easy to see
the roughly 338 psi crossover. For this example, the TBG curve is simply given and the IPR calculated (using as few points as possible, just the crossover area).
For a good explanation of this problem type, see Well Performance by Golan (P29), or Production Optimization by Beggs (P142). Both these resources are excellent (I own both even though they have quite a bit of overlap).
Note
that neither of these sources are SPE. Personally, I find the lack of
example problems for nodal analysis (or total system analysis) to be a
major gap in the SPE Handbook and the SPE Textbook Series. For this
reason, I've never spent much time on this problem type. However, I get continual questions about it so I'm showing a detailed similar solution and how to use the Guidebook's applicable section for it. Also, for anyone interested in more explanation the SPE 6th Edition (1991) has an excellent example problem they walk you through as well.
However:
Vogel IPR as a "concept" is definitely fair game and is found in HS IV
P1-40 (albeit with a lack of example problems or number examples). So understand IPR (including Vogel, Fetkovich, Jones, and
Wiggins, who wrote HS IV C1). I'll try and fit an IPR-style problem into the
Guidebook Companion 2018 41-80 to help with reviewing this problem
type.
IPR Vogel Equation
bopd psia
259 1600
329 1400
392 1200
Given TBG curve
bopd psia
200 1450
300 1390
400 1350
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