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Pump Output Calculation for Duplex Pump and Triplex Pump ‎

Sep. 02, 2024

Pump Output Calculation for Duplex Pump and Triplex Pump

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Understanding Pump Output is crucial in any operation using a mud pump, as it significantly influences various metrics, such as bottom up strokes, wash out depths, and tracking drilling fluid, among others. In this article, we will dive into how to accurately compute the output for both duplex pumps and triplex pumps, utilizing both Imperial and Metric units.

Calculating Triplex Pump Output

Oilfield Units

Triplex Pump Output = 0. × (Liner Diameter)² × (Stroke Length)

Where:

Triplex pump output is measured in bbl/stk
Liner Diameter is measured in inches
Stroke Length is measured in inches

Example:

Calculate the pump output in bbl/stk at both 100% and 97% efficiency:
Liner size = 6 inches
Stroke length = 12 inches

Output at 100% efficiency:
Triplex pump output @ 100% = 0. × 62 × 12 = 0 bbl/stk

Output at 97% efficiency:
Triplex pump output @ 97% = 0. × 0.97 = 0 bbl/stk

Metric Units

Triplex Pump Output = 2. × 10-9 × (Liner Diameter)² × (Stroke Length)

Where:

Triplex pump output is measured in m3/stk
Liner Diameter is measured in mm
Stroke Length is measured in mm

Example:

Calculate the pump output in m3/stk at both 100% and 97% efficiency:
Liner size = 152.4 mm
Stroke length = 304.8 mm

Output at 100% efficiency:
Triplex pump output @ 100% = 2. × 10-9 × 152.42 × 304.8

Output at 97% efficiency:
Triplex pump output @ 97% = Output at 100% × 0.97

Understanding Duplex Pump Output

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Oilfield Units

Duplex Pump Output = 0. × S × [2(D)² - d²]

Where:

Duplex pump output is measured in bbl/stk
D = liner diameter in inches
S = stroke length in inches
d = rod diameter in inches

Example:

Calculate the duplex pump output in bbl/stk at 100% and 85% efficiency:
Liner diameter = 6 inches
Stroke length = 12 inches
Rod diameter = 2.0 inches

Output at 100% efficiency:
Duplex pump output @ 100% = 0. × 12 × [2(6)2 - 22]

Output at 85% efficiency:
Duplex pump output @ 85% = Output at 100% × 0.85

Metric Units

Duplex Pump Output = 1. × 10-9 × S × [2(D)² - d²]

Where:

Duplex pump output is measured in m3/stk
D = liner diameter in mm
S = stroke length in mm
d = rod diameter in mm

Example:
Calculate the duplex pump output in m3/stk at 100% and 85% efficiency:
Liner diameter = 152.4 mm
Stroke length = 304.8 mm
Rod diameter = 50.8 mm

Output at 100% efficiency:
Duplex pump output @ 100% = 1. × 10-9 × 304.8 × [2(152.4)2 - (50.8)2]

Output at 85% efficiency:
Duplex pump output @ 85% = Output at 100% × 0.85

Helpful Resources:
You can find an Excel sheet designed to calculate outputs for both triplex and duplex pumps.

Recommended Reading:

Lapeyrouse, N.J. - Formulas and calculations for drilling, production, and workover. Boston: Gulf Professional Publishing.
Bourgoyne, A.J.T., Chenevert, M.E., & Millheim, K.K. - SPE Textbook Series, Volume 2: Applied Drilling Engineering, Society of Petroleum Engineers.
Mitchell, R.F., Miska, S., & Aadny, B.S. - Fundamentals of drilling engineering. Richardson, TX: Society of Petroleum Engineers.

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