# Pump Output Calculation for Duplex Pump and Triplex Pump

Rig pump output, normally in bbl per stroke, of mud pumps on the rig is important figures that we really need to know because we will use pump out put figures to calculates many things such as bottom up strokes,  wash out depth, tracking drilling fluid, etc. In this post, you will learn how to calculate pump out put for triplex pump and duplex pump.

Triplex Mud Pump

## Triplex Pump Output Formula

Triplex Pump Output in bbl/stk = 0.000243 x (liner diameter in inch) 2 X (stroke length in inch)

Example: Determine the pump output in bbl/stk at 100% and 97% efficiency
Linner size = 6 inch
Stroke length = 12 inch
Triplex pump output:
PO @ 100% = 0.000243 x 62 x 12
PO @ 100% = 0.104976 bbl/stk

Adjust the triplex pump output for 97% efficiency:
Decimal equivalent = 97 ÷ 100 = 0.97
PO @ 97% = 0.104976 bbl/stk x 0.97
PO @ 97% = 0.101827 bbl/stk

Duplex Mud Pump (Ref: http://www.sunmachinery.com/8214R_01.jpg)

## Duplex Pump Output Formula

Duplex Pump Output in bbl/stk = 0.000162 x S x [2(D)2 – d2]

Where:
D = liner diameter in inch
S = stroke length in inch
d = rod diameter in inch

Example: Determine the duplex pump output in bbl/stk at 100% and 85% efficiency

Liner diameter = 6 inch
Stroke length = 12 inch
Rod diameter = 2.0 in.

Duplex pump efficiency = 100 %.
PO @ 100% = 0.000162 x 12 x [2 (6) 2 -22 ]
PO @ 100% = 0.13219 bbl/stk

Adjust pump output for 85% efficiency:
PO @ 85% = 0.132192 bbl/stk x 0.85
PO @ 85% = 0.11236 bbl/stk

Please find the Excel sheet to calculate triplex pump output and duplex pump output

Ref books: Lapeyrouse, N.J., 2002. Formulas and calculations for drilling, production and workover, Boston: Gulf Professional publishing.

Bourgoyne, A.J.T., Chenevert , M.E. & Millheim, K.K., 1986. SPE Textbook Series, Volume 2: Applied Drilling Engineering, Society of Petroleum Engineers.

Mitchell, R.F., Miska, S. & Aadny, B.S., 2011. Fundamentals of drilling engineering, Richardson, TX: Society of Petroleum Engineers.

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### 15 Responses to Pump Output Calculation for Duplex Pump and Triplex Pump

1. Pingback: Well Control Formulas Part 4‎

2. ranjit dantani says:

Where u given example for duplex there little fault for small (d) u given12″ insted for 2″

3. Omar says:

How I can calculate the pump effeciency prior to cement job

• You may need to pump a certain volume and compare the actual volume pump and the calculated value.

• Shemy says:

that’s we do it take 50 bbls from tank( measured level) and the return to trip tank with started zero pump strks and compared the results ( Volume pumped& pump Strks)

4. Pingback: Triplex Pump out

5. Jason Lueck says:

My question is where is the constant .000243 for a tri-plex and .000162 for a duplex derived from? Just more out of curiosity than anything else.

6. :-) Placid Akanazu says:

Please,how can I calculate the maximum pressure for each pump liner sizes .
Thanks

• The maximum pressure can be found in a mud pump specification. It should tell you how much pressure and flow rate that you can pump for each liner size.

Regards,
Shyne.

7. Soma sekhar says:

Without changing liners of a triplex mud pump can I get raise in discharge pressure by reducing SPM below it’s maximum rating?

• You need to check with the pump specification. If you need more pressure, you may need to change to a smaller liner.