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Radius-of-Curvature Build Section TVD Gain Formula

ΔTVD=180ΔMD(sinI2sinI1)π(I2I1)\Delta TVD=\frac{180\Delta MD(\sin I_2-\sin I_1)}{\pi(I_2-I_1)}

Radius-of-Curvature Build Section TVD Gain calculates true vertical depth gain through build section for directional drilling workflows in drilling engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (dMD, I_1, I_2) 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, dTVD equals 413.496672 ft.

dMDft

500

I_1degree

0

I_2degree

60

Inputs

dMD

ft

Measured Depth of Build Section

I_1

degree

Starting Inclination

I_2

degree

Ending Inclination

Outputs

dTVD

ft

True Vertical Depth Gain Through Build Section

Source and review

reviewed

Drilling Manual horizontal directional drilling calculations, radius-of-curvature TVD example.

Source

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