Volume of fluid displaced for duplex pumps

Input(s)

DL\mathrm{D}_{\mathrm{L}}: Piston Diameter (in.) Dr\mathrm{D}_{\mathrm{r}}: Rod Diameter (in.)

LS\mathrm{L}_{\mathrm{S}}: Stroke Length (in.)

NC\mathrm{N}_{\mathrm{C}}: Number of Cylinders (unitless)

nv\mathrm{n}_{\mathrm{v}}: Volumetric Efficiency (unitless)

Output(s)

Vt\mathrm{V}_{\mathrm{t}}: Volume of Fluid Displaced (bbl/stroke)

Formula(s)

Vt=NC LS((2DL2)Dr2)nv42294\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.


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