Difference between revisions of "Productivity index"
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(Created page with "==Brief== J - well productivity index characterize how much oil, gas or water the well can produce per unit of pressure drop. ==Math & Physics== From the [[Darcy's law]...") |
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==Brief== | ==Brief== | ||
| − | [[J]] - well productivity index characterize how much oil, gas or water the well can produce per unit of pressure drop. | + | [[J|Productivity index]] - well productivity index characterize how much oil, gas or water the well can produce per unit of pressure drop. |
==Math & Physics== | ==Math & Physics== | ||
| − | From the [[Darcy's law]] the [[J]] in pseudo-steady state is as follows: | + | From the [[Darcy's law]] the [[J|Productivity index]] in pseudo-steady state is as follows: |
:<math> {J} = \frac{q}{\bar{P} - P_{wf}} </math> | :<math> {J} = \frac{q}{\bar{P} - P_{wf}} </math> | ||
Revision as of 10:14, 14 June 2023
Brief
Productivity index - well productivity index characterize how much oil, gas or water the well can produce per unit of pressure drop.
Math & Physics
From the Darcy's law the Productivity index in pseudo-steady state is as follows:
Oil
Gas
Maximum 
The maximum possible stimulated well potential for pseudo steady linear flow is:
, see 6/π stimulated well potential
The maximum possible stimulated well potential for steady state linear flow is:
, see 4/π stimulated well potential
Nomenclature
= formation volume factor, bbl/stb- = dimensionless productivity index, dimensionless
= permeability times thickness, md*ft
= average reservoir pressure, psia
= average reservoir pseudopressure, psia2/cP
= well flowing pressure, psia
= average well flowing pseudopressure, psia2/cP
= flowing rate, stb/d
= gas rate, MMscfd
= wellbore radius, ft
= drainage radius, ft
= skin factor, dimensionless
= temperature, °R
Greek symbols
= viscosity, cp
