Dimensionless pressure (linear flow/constant rate production/general case)
Input(s)
\(p_{i}\): Initial Reservoir Pressure \((\mathrm{psi})\)
B: Volume Factor \((\mathrm{RB} / \mathrm{STB})\)
\(\mu\): Oil Viscosity \((\mathrm{cP})\)
\(\mathrm{k}\): Permeability \((\mathrm{mD})\)
A: Cross Section Area (ft)
q: Flow Rate (STB/day)
p: Pressure \((\mathrm{psi})\)
Output(s)
\(p_{D}\): Dimensionless Pressure (dimensionless)
Formula(s)
\[
p_{D}=\frac{k * A^{0.5}}{141.2 * q * B * \mu} *\left(p_{i}-p\right)
\]
Reference(s)
Lee, J., Rollins, J. B., & Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of Petroleum Engineers, Page: 9.