Skip to main content

Drill String Volume

Drill String volume is the total internal capacity (volume) of the drill string 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 drill string.  It's commonly measured in barrels or cubic meters.  The total drill string volume is the sum of the volumes of all the components (drill pipes, collars, etc.).    

Drill String Volume Formula

\( DS_v \;=\;  \dfrac{ DS_{id} + PL  }{ P_o  }\)     (Drill String 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
\( DS_v \) = Drill String Volume \(bbl\) -
\( DS_{id} \) = Drill String ID \(in\) -
\( PL \) = Pipe Length \(ft\) -
\( P_o \) = Pump Output \(bbl\;/\;stroke\) -

 

Piping Designer Logo 1

 

 

 

 

 

Drill String Volume Formula

\( DS_v \;=\;  \pi \cdot \left(\dfrac{ ID }{ 2 } \right)^2 \cdot L \)     (Drill String Volume)

\( ID  \;=\;  2 \cdot \sqrt{ \dfrac{ DS_v }{ \pi \cdot L }   }  \)

\( L \;=\; \dfrac{  4 \cdot DS_v }{ \pi \cdot ID^2 } \)

Symbol English Metric
\( DS_v \) = Drill String Volume \(bbl\) -
\( \pi \) = Pi \(3.141 592 653 ...\)  
\( ID \) = Internal Diameter of the Drill String Component \(in\) -
\( L \) = Length of that Component \(ft\) -