Maximum flow rate (Vogel's equation)

Input(s)

q: Tested Production Rate (stb/d)

P: Reservoir Pressure (psi)

$\boldsymbol{P}_{\boldsymbol{w}}$: Tested Flowing Bottom Hole Pressure (psi)

Output(s)

$\boldsymbol{q}_{\max }$: Maximum Flow Rate $(\mathrm{stb} / \mathrm{d})$

Formula(s)

$$ \mathrm{q}_{\max }=\frac{\mathrm{q}}{1-0.2 *\left(\frac{\mathrm{P}_{\mathrm{w}}}{\mathrm{P}}\right)-0.8 *\left(\frac{\mathrm{P}_{\mathrm{w}}}{\mathrm{P}}\right)^{2}} $$

Reference(s)

Boyun, G., William, C., \& Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted Approach, Page: $3 / 34$.