Number of sacks of cement required

Input(s)

H: Hole Size (in.)

OD: Outer Dia (in.)

ID: Inner Dia (in.)

$\mathrm{h}_{\mathrm{c}}$: Feet to be Cemented $(\mathrm{ft})$

$\mathrm{E}$: Original+extra Volume Req in Percentage (fraction)

$\mathrm{h}_{\mathrm{fc}}$: Feet Between Float Collar and Shoe $(\mathrm{ft})$

Y1: Yield of Lead/filler Cement $\left(\mathrm{ft}^{3} /\right.$ stroke $)$

Y2: Yield of Tail Cement $\left(\mathrm{ft}^{3} /\right.$ stroke $)$

FC: Float Collar (Number of Feet Above Shoe) (ft)

Csd: Casing Setting Depth $(\mathrm{ft})$

PO: Pump Output (bbl/stroke)

Output(s)

AC: Annular Capacity (ft3/ft) C:Casing Capacity $\left(\mathrm{ft}^{3} / \mathrm{ft}\right)$

$\mathrm{N}_{\mathrm{f}}$: Number of Sacks of Cement Required (stroke)

$\mathrm{N}_{\mathrm{a}}$: Sacks Required for Annulus (stroke)

$\mathrm{N}_{\mathrm{c}}$: Sacks Required for Casing (stroke)

$\mathrm{N}_{\mathrm{t}}$: Total Number of Sacks Required (stroke)

$\mathrm{Cd}$: Casing Capacity in Barrels (bbl/ft)

SS: Number of Strokes Required to Bump the Plug (strokes)

Formula(s)

$$ \begin{gathered} \mathrm{AC}=\frac{\mathrm{H}^{2}-\mathrm{OD}^{2}}{183.35} \\ \mathrm{C}=\frac{(\mathrm{ID})^{2}}{183.35} \\ \mathrm{~N}_{\mathrm{f}}=\frac{\mathrm{h}_{\mathrm{c}} * \mathrm{AC} * \mathrm{E}}{\mathrm{Y} 1} \\ \mathrm{~N}_{\mathrm{a}}=\mathrm{h}_{\mathrm{c}} * \mathrm{AC} * \frac{\mathrm{E}}{\mathrm{Y} 2} \\ \mathrm{~N}_{\mathrm{c}}=\mathrm{h}_{\mathrm{fc}} * \frac{\mathrm{C}}{\mathrm{Y} 2} \\ \mathrm{~N}_{\mathrm{t}}=\mathrm{N}_{\mathrm{a}}+\mathrm{N}_{\mathrm{c}} \\ \mathrm{Cd}=\frac{(\mathrm{ID})^{2}}{1029.4} \\ \mathrm{SS}=\frac{\mathrm{Cd}}{\mathrm{PO}} \end{gathered} $$

Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 54.