Analysis of a well from a PI test

Input(s)

P: Average Reservoir Pressure (psi)

q: Flow Rate (STB/day)

PwfP_{w f}: Well Flowing Pressure (psi)

k\mathrm{k}: Permeability (mD)(\mathrm{mD})

B: Volume Factor (RB/STB)

h\mathrm{h}: Thickness of Reservoir ( ft\mathrm{ft} )

μ\mu: Oil Viscosity (cP)(\mathrm{cP})

rer_{e}: Drainage Radius (ft)

rwr_{w}: Wellbore Radius (ft)

Output(s)

J: Productivity index (STB/day/psi)

kjk_{j}: Average Permeability (mD)(\mathrm{mD})

s: Skin Factor (dimensionless)

Formula(s)

J=qPPwfkj=141.2JBμln(rerw)0.75hs=(kkj1)(ln(rerw)0.75)\begin{gathered} J=\frac{q}{P-P_{w f}} \\ k_{j}=141.2 * J * B * \mu * \frac{\ln \left(\frac{r_{e}}{r_{w}}\right)-0.75}{h} \\ s=\left(\frac{k}{k_{j}}-1\right) *\left(\ln \left(\frac{r_{e}}{r_{w}}\right)-0.75\right) \end{gathered}

Reference(s)

Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of Petroleum Engineers, Page: 16.


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