# Calculations for the number of feet to be cemented

## Input(s)

H: Hole Size (in.)

OD: Outer Diameter (in.)

ID: Inner Diameter (in.)

$$\mathrm{N}_{\mathrm{s}}$$: Number of Sacks of Cement to be Used (sacks)

$$\mathrm{Y}_{\mathrm{s}}$$: Slurry Yield $$\left(\mathrm{ft}^{3} / \mathrm{stroke}\right)$$

$$\mathrm{h}_{\mathrm{c}}$$: Feet of Casing $$(\mathrm{ft})$$

$$\mathrm{h}_{\mathrm{sd}}$$: Setting Depth of Cementing Tool or Feet of Drill Pipe (ft)

DC: Drill Pipe Capacity (bbl/stroke)

E: Original+extra Volume Req in Percentage (fraction)

PO: Pump Output (bbl/stroke)

## Output(s)

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

$$\mathrm{CC} * *$$: Casing Capacity $$\left(\mathrm{ft}^{3} / \mathrm{ft}\right)$$

$$\mathrm{C}_{\mathrm{c}}$$: Casing Capacity $$\left(\mathrm{ft}^{3}\right)$$

$$\mathrm{V}_{\mathrm{s}}$$: Volume of Slurry $$\left(\mathrm{ft}^{3}\right)$$

$$\mathrm{h}_{\mathrm{a}}$$: Height of Cement in Annulus (ft)

$$\mathrm{h}_{\mathrm{tc}}$$: Depth of Top of Cement in Annulus $$\left(\mathrm{ft}^{3} /\right.$$ stroke $$)$$

$$\mathrm{N}_{\mathrm{m}}$$: Number of Barrels of Mud Required to Displace the Cement (bbl)

S: Number of Strokes Required to Displace the Cement (Strokes)

## Formula(s)

$\begin{gathered} \mathrm{AC}=\frac{\mathrm{H}^{2}-\mathrm{OD}^{2}}{183.35} \\ \mathrm{CC}=\frac{(\mathrm{ID})^{2}}{183.35} \\ \mathrm{C}_{\mathrm{c}}=\mathrm{N}_{\mathrm{s}} * \mathrm{Y}_{\mathrm{s}} \\ \mathrm{V}_{\mathrm{s}}=\left(\mathrm{h}_{\mathrm{c}}-\mathrm{h}_{\mathrm{sd}}\right) * \mathrm{CC} \\ \mathrm{h}_{\mathrm{a}}=\frac{\left(\mathrm{V}_{\mathrm{s}}-\mathrm{C}_{\mathrm{c}}\right)}{\frac{\mathrm{AC}}{\mathrm{E}}} \\ \mathrm{h}_{\mathrm{tc}}=\mathrm{h}_{\mathrm{c}}-\mathrm{h}_{\mathrm{a}} \\ \mathrm{N}_{\mathrm{m}}=\mathrm{h}_{\mathrm{sd}} * \mathrm{DC} \\ \mathrm{S}=\frac{\mathrm{N}_{\mathrm{m}}}{\mathrm{PO}} \end{gathered}$

## Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 57.

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