Duplex pump output by using liner and rod diameters

Input(s)

$d_{1}$: Liner Diameter (in.)

$d_{\mathrm{r}}$: Rod Diameter (in.)

$1_{s}$: Stroke Length (in.)

Output(s)

$\mathrm{q}_{\mathrm{o}}:$ Pump Output (bbl/stroke)

Formula(s)

$$ \mathrm{q}_{\mathrm{o}}=0.000162 * 1_{\mathrm{s}} *\left(\left(2 *\left(\mathrm{~d}_{\mathrm{l}}^{2}\right)\right)-\left(\mathrm{d}_{\mathrm{r}}^{2}\right)\right) $$

Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 9.