Petroleum & Drilling
Intermediate

Buoyancy Factor

Reduction in a steel pipe string's weight when submerged in drilling mud.

Formula

BF=1−MW65.5BF = 1 - \frac{MW}{65.5}

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Variables

BFBuoyancy factor
MWMud weight (ppg)

Example

MW=12 ppg: BF = 1 - 0.183 = 0.817

How it works

A steel pipe string does not feel its full air weight once it is immersed in drilling mud because the fluid pushes upward on it. This formula estimates that reduction as a fraction of the pipe’s weight: denser mud provides more upward buoyant force, so the buoyancy factor gets smaller. In field calculations, the factor is multiplied by the pipe’s air weight to get its effective weight in mud.

When to use it

Use this when estimating the submerged or effective weight of drill pipe, tubing, or casing in a mud-filled wellbore. It is especially useful for checking hook load, tension, and whether the string can be safely handled or run in hole.

Worked example, step by step

Given: MW = 10.2 ppg Step 1: Substitute into the formula BF = 1 - MW/65.5 Step 2: Compute the ratio MW/65.5 = 10.2/65.5 = 0.1558 Step 3: Subtract from 1 BF = 1 - 0.1558 = 0.8442 Final answer: BF ≈ 0.844 This means the pipe weighs about 84.4% of its air weight when submerged in the mud.

Common mistakes to avoid

  • Using the mud weight in lb/ft³ instead of ppg without converting it first
  • Treating the buoyancy factor as the actual pipe weight instead of a multiplier on air weight
  • Forgetting that a higher mud weight lowers the buoyancy factor and reduces the effective weight more

Did You Know?

The number 65.5 is the density of steel in ppg; heavier mud floats the pipe string more.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026