Well flowing pressure under Pseudo-steady state flow for non-circular reservoirs

Input(s)

pip_{i} : Initial Reservoir Pressure (psi)

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

h\mathrm{h} : Thickness (ft)

B: Formation Volume Factor (bbl/STB)

μ\mu : Viscosity (cP)(\mathrm{cP})

CAC_{A}: Shape Factor (dimensionless)

rwr_{w}: Wellbore Radius (ft)

Q: Flow Rate (STB/day)

ctc_{t} : Total Compressibility (1/psi)

\emptyset: Porosity (fraction)

t\mathrm{t} : Time (hour) A: Area (ft2)\left(\mathrm{ft}^{2}\right)

Output(s)

PwfP_{w f}: Well Flowing Pressure (psi)

Formula(s)

Pwf=(pi(162.6QBμkh)log(2.2458ACArw2))(0.23396QBtAhct)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


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