Amount of additive required to achieve a required cement slurry density

Input(s)

$\rho$: Required Slurry Density (lb/gal)

$\mathrm{S}_{\mathrm{Gc}}$: Specific Gravity of Cement (unitless)

C: Water Requirement of Cement (gal/stroke)

A: Water Requirement of Additive (gal/stroke)

$\mathrm{S}_{\mathrm{Ga}}$: Specific Gravity of Additive (unitless)

Output(s)

x: Amount of Additive Required (lb/stroke)

Formula(s)

$$ \mathrm{x}=\frac{\left(\frac{\rho * 11.207983}{\mathrm{~S}_{\mathrm{Gc}}}\right)+(\rho * \mathrm{C})-94-(8.33 * \mathrm{C})}{\left(1+\left(\frac{\mathrm{A}}{100}\right)\right)-\left(\frac{\rho}{8.33 * \mathrm{~S}_{\mathrm{Ga}}}\right)-\left(\rho+\frac{\mathrm{A}}{100}\right)} $$

Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 53.