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.


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