Dimensionless pressure - Kamal and Brigham
Input(s)
Q: Flow Rate (STB/day)
\(\overline{\mathrm{k}}\): Average Permeability \((\mathrm{mD})\)
\(\mathrm{h}\): Thickness \((\mathrm{ft})\)
B: Formation Volume Factor (bbl/STB)
\(\mu\): Viscosity (cP)
\(\Delta \mathrm{P}\): Pressure Difference \((\mathrm{psi})\)
Output(s)
\(\Delta P_{\mathrm{d}}\): Dimensionless Pressure (dimensionless)
Formula(s)
\[
\Delta P_{\mathrm{d}}=\frac{\overline{\mathrm{k}} * \mathrm{~h} * \Delta \mathrm{P}}{141.2 * \mathrm{Q} * \mu * \mathrm{~B}}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 125.