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Skin pressure drop and flow efficiency

Additional pressure drop near the well due to skin, flow efficiency, damage ratio, and the actual and undamaged productivity index — how much the rate would grow if the skin were removed.

Formula
ΔP_s = (2 / ln 10) · m · s = 0.869 · m · sFE = (P̄ − P_wf − ΔP_s) / (P̄ − P_wf), DR = 1 / FEJ = q / (P̄ − P_wf), J₀ = q / (P̄ − P_wf − ΔP_s)

Skin adds a pressure drop at the wellbore wall ΔP_s = q · B · μ · s / (2π · k · h), which is 0.869 · m · s in terms of the slope. FE < 1 means a damaged well (DR > 1), FE > 1 a stimulated one. The potential assumes the same drawdown and the same resistance of the rest of the reservoir; below the bubble point it is an approximation.

Source: Skin factor: van Everdingen (1953), Hurst (1953); Earlougher, SPE Monograph 5 (1977), ch. 5; Lee, Well Testing (1982)

Inputs

You can change a field's unit: the value is converted to the formula's units automatically.

m
Calculate

From the build-up or drawdown, per log cycle.

s
Calculate

From the build-up (P* or P̄) or a static survey.

P_wf

Before the shut-in for the build-up.

q
Unit converter for this formulaSemilog slope · Pressure · Liquid rate · Productivity index · Fraction and percent
Metric
  • MPa/cycle1
  • kPa/cycle1,000
  • bar/cycle10
  • (kgf/cm²)/cycle10.1972
US field units
  • psi/cycle145.038

Pressure change per log cycle of time.

All units
Result
ΔP_sPressure drop due to skin
Fill in all fields
  • FEFlow efficiency
  • DRDamage ratio
  • JActual productivity index
  • J₀Productivity index without skin
  • q₀Rate without skin at the same drawdown

Results are engineering estimates from standard formulas; for design decisions check them against the codes, project documents and specialists' calculations. The formulas carried over from the original set are unchanged, and their errors are described in the notes.