# 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.

## Related

### Additive crystalline salt amount to increase the density - Method II (single-salt systems)

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