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

 

Drill String Volume formula
\( DS_v \;=\;  \pi \; ( ID \;/\; 2 )^2 \; L \)     (Drilling String Volume) \( ID  \;=\;  2 \; \sqrt{ DS_v \;/\; \pi \; L  }  \) \( L \;=\;  4 \; DS_v \;/\; \pi \; ID^2  \)
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	\(ft\)	-