Volume of fluid displaced for duplex pumps
Input(s)
\(\mathrm{D}_{\mathrm{L}}\): Piston Diameter (in.) \(\mathrm{D}_{\mathrm{r}}\): Rod Diameter (in.)
\(\mathrm{L}_{\mathrm{S}}\): Stroke Length (in.)
\(\mathrm{N}_{\mathrm{C}}\): Number of Cylinders (unitless)
\(\mathrm{n}_{\mathrm{v}}\): Volumetric Efficiency (unitless)
Output(s)
\(\mathrm{V}_{\mathrm{t}}\): Volume of Fluid Displaced (bbl/stroke)
Formula(s)
\[
\mathrm{V}_{\mathrm{t}}=\frac{\mathrm{N}_{\mathrm{C}} * \mathrm{~L}_{\mathrm{S}} *\left(\left(2 * \mathrm{D}_{\mathrm{L}}^{2}\right)-\mathrm{D}_{\mathrm{r}}^{2}\right) * \mathrm{n}_{\mathrm{v}}}{42 * 294}
\]
Reference(s)
Samuel. E Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant. 2015. Houston, Texas, Page: 49.