Single-phase gas flow (subsonic)

Input(s)

PdP_{d}: Downstream Pressure (psi)(\mathrm{psi})

PuP_{u}: Upstream Pressure at Choke (psi)(\mathrm{psi}) k: Specific Heat Ratio (dimensionless) A: Cross Sectional Area of Choke (in. 2{ }^{2} )

γg\gamma_{g} : Gas Specific Gravity related to Air (dimensionless)

TuT_{u}: Upstream Temperature (R)

CdC_{d} : Choke Discharge Coefficient (dimensionless)

Output(s)

qscq_{s c}: Gas Flow Rate (Mscf/D)(\mathrm{Mscf} / \mathrm{D})

Formula(s)

qsc=1248CdAPu(((k(k1)γgTu)((PdPu)2k(PdPu)k+1k))0.5)q_{s c}=1248 * C_{d} * A * P_{u} *\left(\left(\left(\frac{k}{(k-1) * \gamma_{g} * T_{u}}\right) *\left(\left(\frac{P_{d}}{P_{u}}\right)^{\frac{2}{k}}-\left(\frac{P_{d}}{P_{u}}\right)^{\frac{k+1}{k}}\right)\right)^{0.5}\right)

Reference(s)

Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted Approach, Page: 5/61.


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