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Production EngineeringWell Performance

Skin Factor for a Deviated Well Formula

sθ=(θw41)2.06(θw56)1.865log10(hd100)s_\theta=-\left(\frac{\theta_w}{41}\right)^{2.06}-\left(\frac{\theta_w}{56}\right)^{1.865}\log_{10}\left(\frac{h_d}{100}\right)

Skin Factor for a Deviated Well calculates directional-drilling skin factor for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (theta, k_v, k_h, h, r_w, s_total) 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_theta equals -0.222382 dimensionless.

thetadeg

30

k_vmD

25

k_hmD

100

hft

100

r_wft

0.33

s_totaldimensionless

5

Inputs

theta

deg

Well Inclination from Vertical

k_v

mD

Vertical Permeability

k_h

mD

Horizontal Permeability

h

ft

Formation Thickness

r_w

ft

Wellbore Radius

s_total

dimensionless

Total Skin Factor

Outputs

s_theta

dimensionless

Directional-Drilling Skin Factor

theta_w

deg

Effective Deviation Angle

h_d

dimensionless

Dimensionless Effective Thickness

s_other

dimensionless

Skin Factor Other Than Directional-Drilling Skin

Source and review

reviewed

Pressure Transient Testing, Lee, J., Rollins, J.B., Spivey, J.P. (2003)

Lee, J., Rollins, J.B., and Spivey, J.P. Pressure Transient Testing, SPE Textbook Series Vol. 9, Page 44.

source conflict
Source

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