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Volume of Fluid Displaced for Pumps

on . Posted in Drilling Engineering

                  

Volume of Fluid Displaced for a Duplex Pump Formula
\( V_{fd} \;=\;  \dfrac{ n_c \cdot SL \cdot [\; ( 2 \cdot p_d^2 ) - r_d^2 \;] \cdot \eta_v }{ 42 \cdot 294 }\)
Symbol English Metric
\( V_{fd} \) = Volume of Fluid Displaced \(bbl\;/\;stroke\) -
\( n_c \) = Number of Cylinders \(dimensionless\) -
\( SL \) = Stroke Length \(in\) -
\( p_d \) = Piston Diameter \(in\) -
\( r_d \) = Rod Diameter \(in\) -
\( \eta_v \)  (Greek symbol eta) = Volumetric Efficiency \(dimensionless\) -

               

Volume of Fluid Displaced for a Single-acting Pump Formula
\( V_{fd} \;=\; \dfrac{ \pi \cdot p_d^2  \cdot SL \cdot n_c }{ 4 }\)
Symbol English Metric
\( V_{fd} \) = Volume of Fluid Displaced \(bbl\) -
\( \pi \) = Pi \(3.141 592 653 ...\) -
\( p_d \) = Piston Diameter \(in\) -
\( SL \) = Stroke Length \(in\) -
\( n_c \) = Number of Cylinders \(dimensionless\) -

       

Volume of Fluid Displaced for a Triplex Pump Formula
\( V_{fd} \;=\;  \dfrac{ SL \cdot p_d^2 \cdot \eta_v  }{ 42 \cdot 98.03 }\)
Symbol English Metric
\( V_{fd} \) = Volume of Fluid Displaced \(bbl\;/\;stroke\) -
\( SL \) = Stroke Length \(in\) -
\( p_d \) = Piston Diameter \(in\) -
\( \eta_v \)  (Greek symbol eta) = Volumetric Efficiency \(dimensionless\) -

 

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Tags: Volume Drilling Drilling Mud Drilling Pump

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