# Initial volume required to achieve a volume with calcium carbonate

## Input(s)

\(W_{1}\): Initial Mud wt. (ppg)

\(W_{2}\): Required mud wt. (ppg)

\(V_{f}\): Final Volume (ppg)

## Output(s)

\(V_{i}\): Starting Volume (bbl)

## Formula(s)

\[
V_{i}=V_{f} * \frac{22.5-W_{2}}{22.5-W_{1}}
\]

## Reference(s)

Formulas and Calculations for Drilling, Production and Workover, Second Edition, Lapeyrouse, Page: 83.