Volume of dilution water or mud required to maintain circulating volume

Input(s)

$\mathrm{V}_{\mathrm{m}}$: Volume of Mud in Circulating System (bbl)

$\mathrm{F}_{1}: \quad \%$ Low Gravity Solids in System (\%)

$\mathrm{F}_{\mathrm{o}}: \quad \%$ Optimum Low Gravity Solids Desired (\%)

$\mathrm{F}_{\mathrm{a}}: \quad \%$ Low Gravity Solids Added (\%)

Output(s)

$\mathrm{V}_{\mathrm{wm}}$: Volume of Dilution Water or Mud Required (bbl)

Formula(s)

$$ \mathrm{V}_{\mathrm{wm}}=\frac{\mathrm{V}_{\mathrm{m}} *\left(\mathrm{~F}_{1}-\mathrm{F}_{\mathrm{o}}\right)}{\mathrm{F}_{1}-\mathrm{F}_{\mathrm{a}}} $$

Reference(s)

Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 96.