Rig pump out put, 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 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 Pump Output Formula
Duplex Pump Output in bbl/stk = 0.000162 x S x [2(D)2 - d2]
Whrere:
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 -122 ]
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 book: 
Formulas and Calculations for Drilling, Production and Workover, Second Edition
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