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Drilling EngineeringDirectional Drilling

Projected Turn Rate from Azimuth Change Formula

TR=(A2A1)sin(I1+I22)100ΔMDTR=\frac{(A_2-A_1)\sin\left(\frac{I_1+I_2}{2}\right)100}{\Delta MD}

Projected Turn Rate from Azimuth Change calculates projected turn rate for directional drilling workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (A_1, A_2, I_1, I_2, dMD) 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, TR equals 8.550504 degree/100 ft.

A_1degree

20

A_2degree

45

I_1degree

15

I_2degree

25

dMDft

100

Inputs

A_1

degree

Upper Survey Azimuth

A_2

degree

Lower Survey Azimuth

I_1

degree

Upper Survey Inclination

I_2

degree

Lower Survey Inclination

dMD

ft

Measured Depth Interval

Outputs

TR

degree/100 ft

Projected Turn Rate

Source and review

reviewed

Directional drilling projected turn rate from azimuth change and average inclination.

Source

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