PetroCalcHubFree
Production EngineeringInflow Performance

PI Test Skin Factor and Average Permeability Formula

s=(kkj1)[ln(rerw)0.75]s=\left(\frac{k}{k_j}-1\right)\left[\ln\left(\frac{r_e}{r_w}\right)-0.75\right]

PI Test Skin Factor and Average Permeability calculates skin factor for inflow performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (P, q, P_wf, k, B, h, mu, r_e, r_w) are known and the assumptions behind the cited inflow performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, s equals 17.318312 dimensionless.

Ppsi

3500

qSTB/day

800

P_wfpsi

2500

kmD

100

BRB/STB

1.2

hft

50

mucP

1.5

r_eft

1000

r_wft

0.328

Inputs

P

psi

Average Reservoir Pressure

q

STB/day

Flow Rate

P_wf

psi

Well Flowing Pressure

k

mD

Permeability

B

RB/STB

Oil Formation Volume Factor

h

ft

Reservoir Thickness

mu

cP

Oil Viscosity

r_e

ft

Drainage Radius

r_w

ft

Wellbore Radius

Outputs

s

dimensionless

Skin Factor

J

STB/day/psi

Productivity Index

k_j

mD

PI-Test Average Permeability

q

STB/day

Flow Rate

k

mD

Permeability

B

RB/STB

Oil Formation Volume Factor

mu

cP

Oil Viscosity

h

ft

Reservoir Thickness

Source and review

reviewed

Lee, J., Rollins, J.B., and Spivey, J.P. 2003. Pressure Transient Testing, Vol. 9. Society of Petroleum Engineers, Page 16.

Source

Related formulas and calculators

Productivity Index and Straight-Line IPR
Inflow Performance
Vogel Inflow Performance Relationship
Inflow Performance
Rawlins-Schellhardt Gas Deliverability Rate
Inflow Performance
Gas Deliverability Pressure-Squared Drawdown
Inflow Performance
Rawlins-Schellhardt Absolute Open Flow Potential
Inflow Performance
Rawlins-Schellhardt Deliverability Coefficient from Test Point
Inflow Performance