## Pump Output Calculation for Duplex Pump and Triplex Pump

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

Triplex Mud Pump

## Oilfield Unit

Triplex Pump Output  = 0.000243 × (Liner Diameter ) 2 × (Stroke Length)

Where,

Triplex pump output in bbl/stk

Liner Diameter in inch

Stroke Length in inch

Example:

Determine the pump output in bbl/stk at 100% and 97% efficiency
Liner size = 6 inch
Stroke length = 12 inch

Triplex pump output @ 100% efficiency
Triplex pump output @ 100% = 0.000243 × 62 × 12
Triplex pump output @ 100% = 0.104976 bbl/stk

Triplex pump output @ 97% efficiency
Adjust the triplex pump output for 97% efficiency:
Triplex pump output @ 97% = 0.104976 × 0.97 bbl/stk
Triplex pump output @ 97% = 0.101827 bbl/stk

## Metric Unit

Triplex Pump Output  = 2.3576 × 10-9× (Liner Diameter ) 2 × (Stroke Length)

Where,

Triplex pump output in m3/stk

Liner Diameter in mm

Stroke Length in mm

Example:

Determine the pump output in bbl/stk at 100% and 97% efficiency
Liner size = 152.4 mm
Stroke length = 304.8 mm

Triplex pump output @ 100 % efficiency

Triplex pump output @ 100% = 2.3576 × 10-9 × 152.42 × 304.8
Triplex pump output @ 100% = 0.016690 m3/stk

Triplex pump output @ 97% efficiency
Adjust the triplex pump output for 97% efficiency:
Triplex pump output @ 97% = 0.016690 × 0.97 m3/stk
Triplex pump output @ 97% = 0.016189 m3/stk

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

## Oilfield Unit

Duplex Pump Output = 0.000162 × S × [2(D)2 – d2]

Where:

Duplex pump output in bbl/stk
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 output @ 100 % efficiency

Duplex pump output @ 100% = 0.000162 × 12 × [2 (6) 2 -22 ]
Duplex pump output @ 100% = 0.13219 bbl/stk

Duplex pump output @ 85% efficiency

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

## Metric Unit

Duplex Pump Output =1.57172 × 10-9 × S × [2(D)2 – d2]

Where:

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

Example: Determine 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

Duplex pump output @ 100 % efficiency
Duplex pump output@ 100% = 1.57172 × 10-9 × 304.8 × [2 (152.4) 2 -50.82 ]
Duplex pump output@ 100% = 0.02102 m3/stk

Duplex pump output @ 85% efficiency

Duplex pump output@ 85% = 0.02102 × 0.85 m3/stk
Duplex pump output @ 85% = 0.01786 bbl/stk

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.