JD
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Contents
Brief
JD - dimensionless productivity index^{[1]}, inverse of dimensionless pressure (based on average pressure) which contains the type of flow regime, boundary condition, drainage shape and stimulation ^{[2]}.
Math & Physics
From the Darcy's law for the unfractured well the JD is:
Well in circular drainage area | Well in a drainage area with the shape factor ^{[2]} | |
---|---|---|
Steady state | ||
Pseudo steady state |
Some typical values: circle 31.6, square 30.88 ^{[3]}.
Oil
Gas
Maximum
The undamaged unstimulated vertical well potential in a pseudo steady radial flow in a circular drainage area:
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
- = Dietz shape factor, dimensionless
- = productivity index, stb/psia
- = dimensionless productivity index, dimensionless
- = permeability times thickness, md*ft
- = average reservoir pressure, psia
- = dimensionless pressure (based on average pressure), dimensionless
- = average reservoir pseudopressure, psia^{2}/cP
- = well flowing pressure, psia
- = average well flowing pseudopressure, psia^{2}/cP
- = flowing rate, stb/d
- = gas rate, MMscfd
- = wellbore radius, ft
- = drainage radius, ft
- = skin factor, dimensionless
- = temperature, °R
Greek symbols
- = viscosity, cp
See Also
References
- ↑ Rueda, J.I.; Mach, J.; Wolcott, D. (2004). "Pushing Fracturing Limits to Maximize Producibility in Turbidite Formations in Russia" (SPE-91760-MS). Society of Petroleum Engineers.
- ↑ ^{2.0} ^{2.1} Wolcott, Don (2009). Applied Waterflood Field Development. Houston: Energy Tribune Publishing Inc.
- ↑ Dietz, D.N. (1965). "Determination of Average Reservoir Pressure From Build-Up Surveys" (SPE-1156-PA). J Pet Technol.
By Mikhail Tuzovskiy on 20230712123204