Reservoir flow through the wellbore of a geothermal well

Input(s)

$n$: Performance Exponent for Flow in the wellbore (dimensionless)

$P_{t f}$: Wellhead Flowing Pressure $(\mathrm{psi})$

$P_{w f}$: Bottomhole Flowing Pressure (psi)

$C_{1}$: Performance Coefficient for Flow upwards in the Wellbore (bbl/d psi)

Output(s)

$W$: Flow Rate $(\mathrm{bbl} / \mathrm{d})$

Formula(s)

$$ \mathrm{W}=\mathrm{C}_{1}\left(\mathrm{P}_{\mathrm{wf}}^{2}-\mathrm{P}_{\mathrm{tf}}^{2}\right)^{\mathrm{n}} $$

Reference(s)

Ramey Jr, H. J. (1981). Reservoir Engineering Assessment of Geothermal Systems. Department of Petroleum Engineering, Stanford University. Page: 8.8.