Formula 3.40
Inflow performance relationship (IPR) for horizontal wells in solution gas-drive reservoirs (Vogel)
Input(s)
$q_{\text {omax }}$: Maximum Flow Rate for $100 \%$ Drawdown (STB/day)
$P_{w f}$: Flowing Bottomhole Pressure (psi)
$P$: Shut in Pressure or Average Reservoir Pressure (psi)
Output(s)
$q_{o}$: Oil Flow Rate (STB/day)
Formula(s)
$$ q_{o}=q_{\text {omax }} *\left(1-0.2 *\left(\frac{P_{w f}}{P}\right)-0.8 *\left(\frac{P_{w f}}{P}\right)^{2}\right) $$
Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7 , Page: 240.