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Borehole Torsion by Cylindrical Helical Method Formula

t=kh(1+2kv2k2)sin(aπ180)cos(aπ180)t=k_h\left(1+\frac{2k_v^2}{k^2}\right)\sin\left(\frac{a\pi}{180}\right)\cos\left(\frac{a\pi}{180}\right)

Borehole Torsion by Cylindrical Helical Method calculates borehole torsion for directional drilling workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (k_h, k_v, k, a) are known and the assumptions behind the cited directional drilling 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, t equals 1.32 degree/100 ft.

k_hdegree/100 ft

2

k_vdegree/100 ft

1.2

kdegree/100 ft

3

adeg

45

Inputs

k_h

degree/100 ft

Horizontal curvature

k_v

degree/100 ft

Vertical curvature

k

degree/100 ft

Wellbore trajectory curvature

a

deg

Inclination angle

Outputs

t

degree/100 ft

Borehole torsion

k_h

degree/100 ft

Horizontal curvature

k_v

degree/100 ft

Vertical curvature

k

degree/100 ft

Wellbore trajectory curvature

Source and review

reviewed

501 Solved Problems and Calculations for Drilling Operations, Robello, S.E. (2015)

Robello, S.E. 2015. 501 Solved Problems and Calculations for Drilling Operations, Sigma Quadrant, Houston, Texas, Page 84.

Source

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