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.