Calculations for the number of feet to be cemented

Input(s)

H: Hole Size (in.)

OD: Outer Diameter (in.)

ID: Inner Diameter (in.)

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

Ys\mathrm{Y}_{\mathrm{s}}: Slurry Yield (ft3/stroke)\left(\mathrm{ft}^{3} / \mathrm{stroke}\right)

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

hsd\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 (ft3/ft)\left(\mathrm{ft}^{3} / \mathrm{ft}\right)

CC\mathrm{CC} * *: Casing Capacity (ft3/ft)\left(\mathrm{ft}^{3} / \mathrm{ft}\right)

Cc\mathrm{C}_{\mathrm{c}}: Casing Capacity (ft3)\left(\mathrm{ft}^{3}\right)

Vs\mathrm{V}_{\mathrm{s}}: Volume of Slurry (ft3)\left(\mathrm{ft}^{3}\right)

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

htc\mathrm{h}_{\mathrm{tc}}: Depth of Top of Cement in Annulus (ft3/\left(\mathrm{ft}^{3} /\right. stroke ))

Nm\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)

AC=H2OD2183.35CC=(ID)2183.35Cc=NsYsVs=(hchsd)CCha=(VsCc)ACEhtc=hchaNm=hsdDCS=NmPO\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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