Well flowing pressure under Pseudo-steady state flow for non-circular reservoirs
Input(s)
\(p_{i}\) : Initial Reservoir Pressure (psi)
\(\mathrm{k}\) : Permeability \((\mathrm{mD})\)
\(\mathrm{h}\) : Thickness (ft)
B: Formation Volume Factor (bbl/STB)
\(\mu\) : Viscosity \((\mathrm{cP})\)
\(C_{A}\): Shape Factor (dimensionless)
\(r_{w}\): Wellbore Radius (ft)
Q: Flow Rate (STB/day)
\(c_{t}\) : Total Compressibility (1/psi)
\(\emptyset\): Porosity (fraction)
\(\mathrm{t}\) : Time (hour) A: Area \(\left(\mathrm{ft}^{2}\right)\)
Output(s)
\(P_{w f}\): Well Flowing Pressure (psi)
Formula(s)
\[
P_{w f}=\left(p_{i}-\left(\frac{162.6 * Q * B * \mu}{k * h}\right) * \log \left(\frac{2.2458 * A}{C_{A} * r_{w}^{2}}\right)\right)-\left(\frac{0.23396 * Q * B * t}{A * h * \emptyset * c_{t}}\right)
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 33