Spacer volume behind slurry required to balance the plug

Input(s)

$\mathrm{C}_{\mathrm{a}}$: Annular Capacity $(\mathrm{ft} / \mathrm{bbl})$

E: Excess Volume (fraction)

$\mathrm{V}_{\mathrm{a}}$: Spacer Volume Ahead $(\mathrm{bbl})$

$\mathrm{C}_{\mathrm{p}}$: Capacity of Pipe or Tubing $(\mathrm{bbl} / \mathrm{ft})$

Output(s)

$\mathrm{V}_{\mathrm{s}}$: Spacer Volume (bbl)

Formula(s)

$$ \mathrm{V}_{\mathrm{s}}=\left(\frac{\mathrm{C}_{\mathrm{a}}}{\mathrm{E}}\right) * \mathrm{~V}_{\mathrm{a}} * \mathrm{C}_{\mathrm{p}} $$

Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 62.