Dimensionless cumulative production (radial flow constant-pressure production)

Input(s)

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

$Q_{p}$: Flow Rate of Production (STB/day)

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

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

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

$r_{w}$: Radius of Wellbore (ft)

$\emptyset$: Porosity (fraction)

$c_{t}$: Total Compressibility $(1 / \mathrm{psi})$

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

$p_{w f}$: Well Flowing Pressure (psi)

Output(s)

$Q_{p d}$: Dimensionless Cumulative Production (dimensionless)

Formula(s)

$$ Q_{p d}=\frac{B}{1.119 * \phi * c_{t} * h * r_{w}^{2} *\left(p_{i}-p_{w f}\right)} * Q_{p} $$

Reference(s)

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