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).