Dilution of a mud system

Input(s)

$\mathrm{V}_{\mathrm{m}}$: Mud in Circulation System (bbl)

$\mathrm{F}_{\mathrm{ct}}$: Per cent of Low Gravity Solids in System (per cent)

$\mathrm{F}_{\text {cop }}$: Per cent of Total Optimumlow Gravity Solids (per cent)

$\mathrm{F}_{\mathrm{ca}}$: Per cent of Low Gravity Solids (Bentonite and or Chemicals Added) (per cent)

Output(s)

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

Formula(s)

$$ \mathrm{V}_{\mathrm{wm}}=\frac{\mathrm{V}_{\mathrm{m}} *\left(\mathrm{~F}_{\mathrm{ct}}-\mathrm{F}_{\mathrm{cop}}\right)}{\mathrm{F}_{\mathrm{cop}}-\mathrm{F}_{\mathrm{ca}}} $$

Reference(s)

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