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.