Drillstring Volume

Drillstring volume is the total internal capacity (volume) of the drillstring in a wellbore, which includes the drill pipe, drill collars, and other tubular components used in the drilling process.  This volume is significant because it affects the amount of drilling fluid (mud) required to fill the drillstring. It's commonly measured in barrels or cubic meters.  The total drillstring volume is the sum of the volumes of all the components (drill pipes, collars, etc.). 

 

Drillstring Volume Formula
}\( DS_v \;=\;  \dfrac{ DS_{id} + PL  }{ P_o  }\)     (Drillstring Volume) \( DS_{id} \;=\;  DS_v \cdot P_o  - PL  \) \( PL \;=\;  DS_v \cdot P_o  - DS_{id}  \) \( P_o \;=\;  \dfrac{ DS_{id} + PL  }{ DS_v  }\)
Symbol	English	Metric
\( DS_v \) = Drillstring Volume	\(bbl\)	-
\( DS_{id} \) = Drillstring ID	\(in\)	-
\( PL \) = Pipe Length	\(ft\)	-
\( P_o \) = Pump Output	\(bbl\;/\;stroke\)	-

  

Drillstring Volume Formula
\( DS_v \;=\;  \pi \cdot \left(\dfrac{ ID }{ 2 } \right)^2 \cdot L \)     (Drillstring Volume) \( ID  \;=\;  2 \cdot \sqrt{ \dfrac{ DS_v }{ \pi \cdot L }   }  \) \( L \;=\; \dfrac{  4 \cdot DS_v }{ \pi \cdot ID^2 } \)
Symbol	English	Metric
\( DS_v \) = Drillstring Volume	\(bbl\)	-
\( \pi \) = Pi	\(3.141 592 653 ...\)
\( ID \) = Internal Diameter of the Drillstring Component	\(in\)	-
\( L \) = Length of that Component	\(ft\)	-