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Drilling EngineeringDirectional Drilling

Three-Dimensional Wellbore Center-to-Center Separation Formula

S3D=ΔN2+ΔE2+ΔTVD2S_{3D}=\sqrt{\Delta N^2+\Delta E^2+\Delta TVD^2}

Three-Dimensional Wellbore Center-to-Center Separation calculates three-dimensional center-to-center separation for directional drilling workflows in drilling engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (dN, dE, dTVD) 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, S_3D equals 72.801099 ft.

dNft

60

dEft

40

dTVDft

10

Inputs

dN

ft

North-South Offset Between Well Centers

dE

ft

East-West Offset Between Well Centers

dTVD

ft

True Vertical Depth Difference Between Well Centers

Outputs

S_3D

ft

Three-Dimensional Center-to-Center Separation

Source and review

reviewed

Mansouri, Khosravanian, Wood, and Aadnøy 2020. Anti-well-collision proximity analysis using 3-D least distance.

Source

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