Vogel’s IPR is one-rate matchmaking, additionally the higher take to rate is used to show so it IPR

Vogel’s IPR is one-rate matchmaking, additionally the higher take to rate is used to show so it IPR

The proper J to utilize into the Eqs. six and eight utilizes the fresh streaming bottomhole pressure of the shot section. In case the flowing bottomhole tension try higher than brand new bubblepoint stress, then the well are sense single-stage move conditions and you can J will depend on

Just after J is determined into the test conditions, it is accustomed calculate the entire inflow efficiency bend each other a lot more than and beneath the bubblepoint pressure that have Eqs. seven and 8. The brand new element IPR is only applicable in the event the mediocre reservoir pressure is actually higher than the bubblepoint tension.

Three-stage move

Wiggins [9] demonstrated a simple-to-have fun with IPR for three-stage flow, that’s equivalent in shape to help you Vogel’s IPR. It actually was predicated on a series of simulation studies. They efficiency show like a couple almost every other around three-phase flow patterns [8] [10] which is easier to incorporate. Eqs. eleven and you will 12 give the general three-stage IPRs to possess oil and you may h2o, respectively.

Example

Table step 1 merchandise study to possess a great multipoint shot for the a producing petroleum well-used to demonstrate both-phase IPR measures. The typical reservoir tension because of it example is actually 1,734 psia.

Solution

To apply new IPR measures, receive sample suggestions, with production rates, flowing bottomhole demands, and you may a quotation of the mediocre tank pressure. The data acquired at premier stress drawdown can be used which have Eq. step one to resolve towards the maximum petroleum-production rates.

The newest projected restrict petroleum development try dos,065 STB/D. That it well worth will then be regularly guess the production speed at other viewpoints out-of streaming bottomhole challenges to cultivate an entire inflow performance contour. Once again, Eq. step one is rearranged to help you estimate the supply speed to have an excellent moving bottomhole stress away from 800 psia.

Fetkovich’s IPR means numerous decide to try things to influence the brand new deliverability exponent n. Dining table 2 suggests the test study prepared for plotting. The knowledge is plotted on a beneficial logarithmic chart, which is used in order to guess new mountain of the best-complement straight-line through the investigation. The new deliverability exponent letter is the inverse of your slope. Immediately after letter is determined, Eq. step 3 are often used to guess the utmost petroleum design speed. Fig. step 1 ‘s the patch of the research that displays a knowledgeable-match straight-line provides a mountain of 1.347 producing an letter value of 0.743. Brand new estimated maximum oils creation rates is 1,497 STB/D, due to the fact Eq. fifteen suggests.

As restrict rates is projected, it’s used in combination with Eq. step three in order to imagine design rates within most other moving bottomhole pressures so you’re able to establish the newest inflow show curve in ways like you to definitely displayed with Vogel’s IPR. For Fetkovich’s means, the production rate is actually estimated become step one,253 STB/D in the a flowing bottomhole tension out of 800 psia.

passion

To make use of the process out of Jones, Blount, and you will Glaze to that study place, Dining table step 3 are wishing as well as the investigation plotted on a coordinate chart once the shown within the Fig. dos. A knowledgeable-fit straight-line yielded a mountain off 0.0004 psia/(STB/D) 2 , which is the turbulence coefficient b. The brand new intercept ‘s the laminar-flow coefficient that will be computed so you’re able to end up being 0.23 psia/STB/D. Such opinions can be used during the Eq. 5 to select the restrict oil production price of 1,814 STB/D if moving bottomhole stress try 0 psig.

This same matchmaking can be used so you can guess the supply rates at the other streaming bottomhole challenges to create new inflow show contour. To possess a running bottomhole tension of 800 psia, the supply speed is actually estimated becoming step one,267 STB/D.

From this example, each of the around three steps produced additional viewpoints on the restriction oil design price additionally the creation speed within a good flowing bottomhole tension away from 800 psia. Consequently, development rates would-be dependent on this new IPR included in the newest research, as well as the oil engineer should know it question within the any analysis done.

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