Dimensionless buildup pressure for liquid flow
Input(s)
\(k\): Effective Permeability of Flowing Phase (D)
\(h\): Net Formation Thickness (m)
\(P_{i}\): Initial Reservoir Pressure (psi)
\(P_{w s}\): Shut in Pressure (psi)
\(v_{s c}\): Specific Volume at Standard Conditions \((\mathrm{cc} / \mathrm{g})\)
\(q\): Production Rate (tons \(/ \mathrm{h}(1000 \mathrm{~kg} / \mathrm{h}))\)
B: Formation Volume Factor (Reservoir Volume/Standard Volume)
\(\mu\): Viscosity of Flowing Fluid \((\mathrm{cP})\)
Output(s)
\(P_{D s}\): Dimensionless Pressure (dimensionless)
Formula(s)
\[
P_{D s}=\frac{k h\left(P_{i}-P_{w s}\right)}{0.4568 v_{s c} q B \mu}
\]
Reference(s)
Ramey Jr, H. J. (1981). Reservoir Engineering Assessment of Geothermal Systems. Department of Petroleum Engineering, Stanford University, Page: (5.7).