Gas capacity of separator

Input(s)

$\mathrm{K}_{\mathrm{s}}$: Separator Coefficient $(\mathrm{ft} / \mathrm{s})$

$\mathrm{d}$: Total Internal Diameter of Separator $(\mathrm{ft})$

F: Fraction of Total Area Available to Gas (fraction)

z: Compressibility Factor (dimensionless)

P: Separation Pressure (psi)

$\mathrm{P}_{\mathrm{s}}$: Base Pressure (psi)

$\mathrm{T}$: Absolute Separation Temperature (K) $\mathrm{T}_{\mathrm{s}}$: Base Temperature $(\mathrm{K})$

$\rho_{1}$: Liquid Density $(\mathrm{g} / \mathrm{cc})$

$\rho_{\mathrm{g}}$: Gas Density $(\mathrm{g} / \mathrm{cc})$

Output(s)

$q_{s}$: Gas Rate $\left(\mathrm{ft}^{3} / \mathrm{d}\right)$

Formula(s)

$$ \mathrm{q}_{\mathrm{s}}=67824 * \mathrm{~K}_{\mathrm{s}} *\left(\mathrm{~d}^{2}\right) * \mathrm{~F} *\left(\frac{1}{\mathrm{z}}\right) *\left(\frac{\mathrm{P}}{\mathrm{P}_{\mathrm{s}}}\right) *\left(\frac{\mathrm{T}_{\mathrm{s}}}{\mathrm{T}}\right) *\left(\frac{\rho_{\mathrm{l}}-\rho_{\mathrm{g}}}{\rho_{\mathrm{g}}}\right)^{0.5} $$

Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 2, Page: 74.