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.