Water quantity that dilutes the original brine with assumed density (two-salt systems)

Input(s)

$V_{d}$: Volume of Diluted Brine (bbl)

$\rho_{i}$: Density of initial, undiluted Brine $(\mathrm{lbm} / \mathrm{bbl})$

$\rho_{d}$: Density of Diluted Brine $(\mathrm{lbm} / \mathrm{bbl})$

$\rho_{8.33}$ : Density of Water diluting the Original Brine $(\mathrm{lbm} / \mathrm{bbl})$

Output(s)

$V_{8.33}$: Volume of Water Diluting the Original Brine (bbl)

Formula(s)

$$ V_{8.33}=\left(V_{d}\right) \frac{\left(\rho_{i}-\rho_{d}\right)}{\left(\rho_{i}-\rho_{8.33}\right)} $$

Reference(s)

Bridges, K. L. (2000). Completion and Workover Fluids (Vol. 19). Society of Petroleum Engineers, Page: 56.