Dimensionless pressure (radial-flow/constant rate production)

Input(s)

$p_{i}$: Initial Reservoir Pressure (psi)

$\mathrm{p}$: Reservoir Thickness (psi)

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

h: Reservoir Thickness (ft)

q: Formation Volume Factor (STB/day)

B: Volume Factor (RB/STB)

$\mu$: Oil Viscosity $(\mathrm{cP})$

Output(s)

$P_{d}$: Dimensionless Pressure (dimensionless)

Formula(s)

$$ P_{d}=\frac{k * h}{141.2 * q * B * \mu} *\left(p_{i}-p\right) $$

Reference(s)

Lee, J., Rollins, J. B., \& Spivey, J. P. (2003). Pressure Transient Testing (Vol. 9). Richardson, Texas: Society of Petroleum Engineers, Page: 8.