# Volumes and Strokes

on . Posted in Drilling Engineering

### Volumes and Strokes - Annular Volume formula

$$AC \;=\; D_h + D_{pod} \;/\; P_o$$     (Annular Volume)

$$D_h \;=\; AC \; P_o - D_{pod}$$

$$D_{pod} \;=\; AC \; P_o - D_h$$

$$P_o \;=\; D_h + D_{pod} \;/\; AC$$

Symbol English Metric
$$AC$$ = annular volume $$bbl$$ -
$$D_h$$ = drill hole diameter $$in$$ -
$$D_{pod}$$ = drill pipe OD $$ft$$ -
$$P_o$$ = pump output $$bbl\;/\;stroke$$ -

### Volumes and Strokes - 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 $$bbl\;/\;stroke$$ -

### Volumes and Strokes - Total Strokes formula

$$S \;=\; DS_v + AC \;/\; P_o$$     (Total Strokes)

$$DS_v \;=\; S \; P_o \;/\; AC$$

$$AC \;=\; S \; P_o \;/\; DS_v$$

$$P_o \;=\; DS_v + AC \;/\; S$$

Symbol English Metric
$$S$$ = total strokes $$dimensionless$$ -
$$DS_v$$ = drill string volume $$bbl$$ -
$$AC$$ = annular volume $$bbl$$ -
$$P_o$$ = pump output $$bbl\;/\;stroke$$ -