Additive crystalline salt and water amount to increase the density - Method I (two-salt systems)

Input(s)

\(V_{i}\): Volume of Initial Brine (bbl)

\(V_{w}\): Total Water Volume to add to achieve the Final Brine Density (bbl)

\(C_{m s f}\): Concentration of More Soluble Salt in Final Brine Formulation (%) \((\mathrm{lbm} / \mathrm{bbl})\)

\(C_{l s f}\): Concentration of Less Soluble Salt in Final Brine Formulation \((\mathrm{lbm} / \mathrm{bbl})\)

\(C_{m s i}\): Concentration of More Soluble Salt in Initial Brine Formulation (lbm/bbl)

\(C_{l s i}\): Concentration of Less Soluble Salt in Initial Brine Formulation (lbm/bbl)

\(W_{i}\): Water Fraction in Initial Brine Formulation (fraction)

\(W_{f}\): Water Fraction in Final Brine Formulation (fraction)

\(V_{f}\): Final Volume of Brine after Adjustment (bbl)

Output(s)

\(m_{m s}\): Additional More Soluble Salt need to raise the Brine Density (lbm)

Formula(s)

\[ \begin{gathered} m_{m s}=\left(V_{i}\right) \frac{C_{l s i} C_{m s f}}{C_{l s f}}-C_{m s i} \\ V_{w}=\left(V_{i}\right) \frac{C_{l s i} W_{f}}{C_{l s f}}-W_{i} \\ V_{f}=\frac{C_{l s i} V_{i}}{C_{l s f}} \end{gathered} \]

Reference(s)

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


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