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Triplex Pump Output

Mud volume per minute from a triplex pump's bore, stroke and speed.

Formula

Q=0.000243×D2×S×NQ = 0.000243 \times D^2 \times S \times N

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Variables

QOutput (bbl/min)
DLiner diameter (in)
SStroke length (in)
NStrokes per minute

Example

D=6, S=12, N=60: Q ≈ 6.3 bbl/min

How it works

This formula estimates the theoretical discharge rate of a triplex mud pump by multiplying the volume displaced per stroke by the number of strokes per minute. The constant 0.000243 converts the piston/liner geometry from cubic inches into barrels and accounts for the triplex pump configuration, so the result comes out in barrels per minute. It gives the pump's ideal output before losses such as slip, valve leakage, or compressibility are considered.

When to use it

Use this when you need a quick estimate of mud pump capacity for circulating programs, hydraulics calculations, or comparing planned pump rates with rig equipment limits. It is especially useful during well planning, kick/loss response, and when checking whether a pump can deliver the required flow rate.

Worked example, step by step

Given: D = 5.5 in, S = 10 in, N = 80 strokes/min Step 1: Square the liner diameter D^2 = 5.5^2 = 30.25 Step 2: Multiply by stroke length 30.25 × 10 = 302.5 Step 3: Multiply by strokes per minute 302.5 × 80 = 24,200 Step 4: Apply the conversion constant Q = 0.000243 × 24,200 = 5.8806 Final answer: Q ≈ 5.88 bbl/min

Common mistakes to avoid

  • Using pump pressure or horsepower instead of liner diameter in the equation
  • Forgetting that the diameter term must be squared
  • Treating the result as actual pump output without accounting for slip and mechanical efficiency

Did You Know?

Rig crews track pump strokes to estimate exactly when circulated mud will reach the surface.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026