Gas solubility in a mud system

Input(s)

$f_{o}$: Volume Fraction of Base Oil (fraction)

$f_{w}$: Volume Fraction of Water (fraction)

$f_{e}$: Volume Fraction of Emulsifier (fraction)

$r_{s o}$: Solution Gas/Component Ratio of Base Oil (fraction)

$r_{s w}$: Solution Gas/Component Ratio of Water (fraction)

$r_{s e}$: Solution Gas/Component Ratio of Emulsifier (fraction)

Output(s)

$r_{s m}$: Solution Gas/Component of the Mud (fraction)

Formula(s)

$$ r_{s m}=f_{o} r_{s o}+f_{w} r_{s w}+f_{e} r_{s e} $$

Reference(s)

Watson, D., Brittenham, T., \& Moore, P. L. (2003). Advanced Well Control (Vol. 10). Society of Petroleum Engineers, Page: 16.