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Pseudo-Skin Factor Due to Partial Penetration - Papatzacos Correlation Formula

sp=1bbln(πhd2)+1bln[bb+2Ap1Bp1]s_p=\frac{1-b}{b}\ln\left(\frac{\pi h_d}{2}\right)+\frac{1}{b}\ln\left[\frac{b}{b+2}\sqrt{\frac{A_p-1}{B_p-1}}\right]

Pseudo-Skin Factor Due to Partial Penetration - Papatzacos Correlation calculates partial-penetration pseudo-skin factor for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (h_p, h, h_1, k_h, k_v, r_w) are known and the assumptions behind the cited well 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_p equals 4.185235 dimensionless.

h_pft

40

hft

100

h_1ft

20

k_hmD

100

k_vmD

25

r_wft

0.33

Inputs

h_p

ft

Perforated Interval

h

ft

Total Pay Thickness

h_1

ft

Distance from Reservoir Top to Top of Open Interval

k_h

mD

Horizontal Permeability

k_v

mD

Vertical Permeability

r_w

ft

Wellbore Radius

Outputs

s_p

dimensionless

Partial-Penetration Pseudo-Skin Factor

b

dimensionless

Penetration Ratio

A_p

dimensionless

Papatzacos Anisotropy Constant A

B_p

dimensionless

Papatzacos Location Constant B

h_d

dimensionless

Dimensionless Payzone Thickness

Source and review

reviewed

Horizontal Well Technology, Joshi, S.D. (1991)

Joshi, S.D. Horizontal Well Technology, Page 498.

source conflict
Source

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