Dimensionless pressure (linear flow/constant rate production/hydraulicallyfractured wells)

Input(s)

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

B: Formation Volume Factor $(\mathrm{RB} / \mathrm{STB})$

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

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

$\mathrm{h}$: Reservoir Thickness (ft)

q: Flow Rate $(\mathrm{STB} /$ day $)$

p: Pressure (psi)

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: 10.