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Definition

WFP – Well Performance Analysis analysis is a comparative Сomparative analysis between:


and


It is based on correlation between surface flowrate 

LaTeX Math Inline
bodyq
and bottomhole pressure 
LaTeX Math Inline
bodyp_{wf}
as a function of tubing-head pressure 
LaTeX Math Inline
bodyp_s
and formation pressure
LaTeX Math Inline
bodyp_Rr
 and current reservoir saturation.Ideally, the well flow model for WFP – Well Flow Performance analysis should be performed individually for each well but even typical for a given asset can.


Application

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Technology

Technology

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AnchorStabilisedStabilisedMost reservoir engineers exploit material balance thinking which is based on long-term well-by-well surface flowrate targets  (whether producers or injectors).

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This is primary domain of WFP – Well Flow Performance analysis.


WFP – Well Flow Performance is performed on stabilised wellbore and reservoir flow and does not cover transient behavior behaviour which is one of the primary subjects of Well Testing domain.

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titleMore on stabilised reservoir and wellbore flow

The wellbore flow is called stabilised if the delta pressure across wellbore is not changing over time.

The formation flow is called stabilised if the well productivity index is not changing over time.

It's important to remember the difference between constant rate formation flow and stabilised formation flow.

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On the other hand, the constant rate formation flow may not represent a stabilised formation flow as the bottom-hole pressure and productivity index maybe still in transition after the last rate change.

The WFP methods are not applicable if the well flow is not stabilised even if the flow rate is maintained constant. 

There are two special reservoir flow regimes which are both stabilised and maintain constant flow rate:  steady state regime (SS) and pseudo-steady state regime (PSS).

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The pseudo-steady state (PSS) regime is reached when the flow is stabilised  with no pressure support at the external boundary.

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As for formation and bottom-hole pressure in PSS they will be synchronously varying while in SS they will be staying constant.

The table below is summarizing the major differences between SS and PSS regimes.

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LaTeX Math Inline
bodyJ(t) = \frac{q}{\Delta p}

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constant

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constant

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LaTeX Math Inline
bodyq(t)

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constant

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constant

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Drawdown

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LaTeX Math Inline
body\Delta p(t) = p_e(t) - p_{wf}(t)

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constant

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constant

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LaTeX Math Inline
bodyp_{wf}(t)

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constant

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varying

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LaTeX Math Inline
bodyp_e(t)

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constant

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varying

It's again important to avoid confusion between the termines stationary conditions (which mean that refered properties are not chaning in time) and stabilised flow conditions which may admit pressure and rate vraition.

In practice, the productivity index is usually not known at all times as there is no routine procedure to assess it.

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.

Although, this is not strictly true and the flow stabilisation time depends on well-formation contact and reservoir property variation around a given well.

This is also compromised in multi-layer formations with cross-layer communication. 


The conventional WFP – Well Performance Analysis is perfomed as the 

LaTeX Math Inline
body\{ p_{wf} \ {\rm vs} \ q \}
cross-plot with two model curves:

Anchor
JP
JP

The intersection of WFP – Well Flow Performance and OPR curves represent the stabilized flow IPR and Lift Curves represent the Stabilised wellbore flow (see Fig. 1)


Fig. 1. The stablised flow rate is represnted as  A sample case of stabilised wellbore flow represented by junction point of WFP – Well Flow Performance and OPR curves IPR and Lift Curves.Fig. 2. The dead well scenario.


Given a tubing head pressure 

LaTeX Math Inline
bodyp_s
the WFP Junction Point will be dynamic in time depending on current formation pressure (see Fig. 2) and formation saturation (see Fig. 3). 


Image Modified

Image Modified

Fig.
2
3. A sample case
of stablised
of stabilised wellbore flow
rate
as function of formation pressure.

Fig.

3

4.A sample case

of stablised

of stabilised wellbore flow

rate

as function

of formation water saturation and corresponding production water-cut.

of production watercut



Fig. 45. A bunch of IPRs IPRs at different formation pressures and TPRs at different THPs Lift Curves at different THPs.


Workflow

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  1. Check the current production rate against the production target from FDP

  2. If the diffference is big enough to justify the cost of production optimization (see point 8 below) then proceed to the step 3 below

  3. Assess formation pressure based on well tests

  4. Simulate IPR /OPR based  LC based on the current WOR/GOR

  5. Calculate the stabilized flow bottom-hole pressure

  6. Gather the current bottom-hole pressure
    LaTeX Math Inline
    bodyp_{wf}


  7. Check up the calculation aganst the actual 
    LaTeX Math Inline
    bodyp_{wf}


  8. Recommend the production optimisation activities to adjust bottom-hole pressure 
    LaTeX Math Inline
    bodyp_{wf}
    :

    • adjusting the choke at surface

    • adjusting the pump settings from surface 

    • changing the pump depth

    • changing the tubing size

    • changing the pump

The above workflow is very simplistic and assumes single-layer formation with no cross-flow complications.

In practise, the WFP – Well Flow Performance analysis is often very tentative and production technologists spend some time experimenting with well regimes on well-by-well basis. 

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OPR – Outflow Performance Relation

  

OPR – Outflow Performance Relation also called TPR – Tubing Performance Relation and VLP – Vertical Lift Performance  represents the relation between the bottom-hole pressure 

LaTeX Math Inline
bodyp_{wf}
  and surface flow rate  
LaTeX Math Inline
bodyq
  during the stabilised wellbore flow under a constant Tubing Head Pressure (THP):

LaTeX Math Block
anchorHSNMP
alignmentleft
p_{wf} = p_{wf}(q)

  which may be non-linear. 

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See Also

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Petroleum Industry / Upstream / Production / Subsurface Production / Well & Reservoir Management

Subsurface E&P Disciplines / Production Technology 

WFP – Water Injector ]

Inflow Performance Relation (IPR) ] [ Lift Curves (LC) ]


  

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Anchor
WFP
WFP

References

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Joe Dunn Clegg, Petroleum Engineering Handbook, Vol. IV – Production Operations Engineering, SPE, 2007

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