Petroleum & Drilling
Intermediate

Hydrostatic Pressure (Field)

Bottom-hole pressure from mud weight and depth in oilfield units.

Formula

P=0.052×MW×TVDP = 0.052 \times MW \times TVD

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Variables

PPressure (psi)
MWMud weight (ppg)
TVDTrue vertical depth (ft)

Example

MW=10 ppg, TVD=10000 ft: P = 5200 psi

How it works

This equation estimates the pressure created at a given depth by a column of drilling mud in a well. The constant 0.052 converts mud weight in pounds per gallon and true vertical depth in feet into pressure in psi, reflecting the hydrostatic relationship that pressure increases with fluid density and depth. It is used because a heavier mud column exerts more downward force, and a deeper column has more fluid above the point of interest.

When to use it

Use this when you need a quick field estimate of bottom-hole pressure from mud weight and true vertical depth in an oil or gas well. It is especially useful for checking whether the mud column is sufficient to balance formation pressure or for routine drilling calculations.

Worked example, step by step

Given: MW = 12.4 ppg, TVD = 8,500 ft Step 1: Write the formula P = 0.052 × MW × TVD Step 2: Substitute the values P = 0.052 × 12.4 × 8,500 Step 3: Multiply 0.052 × 12.4 = 0.6448 0.6448 × 8,500 = 5,480.8 Step 4: State the result P ≈ 5,481 psi

Common mistakes to avoid

  • Using measured depth instead of true vertical depth
  • Forgetting that mud weight must be in ppg for the 0.052 constant to work
  • Rounding too early and losing accuracy in the final pressure

Did You Know?

The magic 0.052 converts pounds-per-gallon and feet into psi — every drilling engineer knows it by heart.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026