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Well Inflow Performance
By Islam Fetoui | | Inflow & Outflow Performance
Categories
API & ISO Standards (5)
Well Inflow Performance represents the relationship between pressure and flow rate at the well face of an
Artificial Lift (79)
individual well. The scientist Darcy was the first studied extensively the relationship between pressure and flow
rate. His experimental studies consist on creating a pressure differential across a porous media and measured the
Beam Pump (18)
resulting flow rate.
Equipment &
Technology (6)
Fundamental
Principles (4)
ESP (48)

9 Step Design
Procedure (11)
Application
Engineering (5)
Equipment &
Darcy’s experiments result in what is known as “Darcy’s law”. For general flow through a porous media:
Technology (30)
Monitoring and
Troubleshooting
(1)
The Darcy’s law can be written for any geometry, but radial flow geometry is the one of most interest to the
production engineer dealing with single well issues. Considering radial flow geometry, Darcy’s law looks like:
Gas Lift (5)
Jet Pump (3)
Definitions (1)
Drilling (7)
q0= Flow rate
Flow Assurance (1)
h= Effective feet of pay
Inflow & Outflow
Pr= Reservoir pressure
Performance (12)
Pwf= Wellbore pressure
re= Drainage pressure
Petroleum Softwares (1)
rw= Wellbore radius
B0= Formation volume factor
Petrophysics (2)
k0= Effective permeability
Process Safety
µ0=Average viscosity
Management (1)
Productivity Index Model:
PVT (6)
For a particular well, we can assume that h, Pr, Pwf, re, rw, B0, k0 and µ0 are constant. Thus replaced by K:
Reservoir Engineering
(1)
q0 = K (Pr – Pwf)
Well Completion (10)
The constant K is known as Productivity index or simply “PI”. PI is often called J in some textbooks.
Well Interventions (2)
Well Integrity (4)
The productivity index (PI) is equal to the liquid flow rate divided by the well drawdown (Pr-Pwf).
Well Logging (2)
[PI] = bbl/day/psi
Well Testing (2)
q0 = PI (Pr – Pwf)
Pwf = (-1/PI) q0 + Pr
Graphically, it looks like this:
The maximum flow rate occurs at the maximum drawdown (Pwf=0).
PI = qmax / (Pr – 0)
Then: qmax = Pr × PI
The following video shows more details about Productivity Index Inflow Performance:
Other inflow performance relationships exist in the literature (i.e. Vogel, Composite, and Fetkovich) and will be
detailed in dedicated articles in the Inflow & Outflow Performance Category of this website.
You May Also Like…
Introduction to IPR and VLP
Vogel’s inflow performance relationship
The Composite Inflow Performance Relationship
Pressure Gradient
Pressure drawdown & Skin Factor
Multiphase flow regimes
Multiphase Flow Properties & Pressure Gradient Calculation
Multiphase flow correlations
About Islam Fetoui
LinkedIn: https://www.linkedin.com/in/islamfetoui/
View all posts by Islam Fetoui →
« ESP design – Step 1: Basic data
Introduction to IPR and VLP »
One Response to Well Inflow Performance
Antonio Neto
19 JULY 2018 AT 14 H 58 MIN
how to caculate the VLP or TPR
Reply
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