Fracture conductivity during bilinear flow
Input(s)
Q: Flow Rate (STB/day)
B: Formation Volume Factor (bbl/STB)
\(\mu\): Viscosity (cP)
\(m_{b f}\): Slope of Bilinear Flow during Build-up Test (psi/cycle)
h: Thickness (ft)
\(\emptyset\): Porosity (fraction)
\(c_{t}\): Total Compressibility (1/psi)
k: Permeability \((\mathrm{mD})\)
Output(s)
\(F_{C}\): Fracture Conductivity \((\mathrm{mD} \mathrm{ft})\)
Formula(s)
\[
F_{C}=\left(\frac{44.1 * Q * \mu * B}{m_{b f} * h *\left(\phi * \mu * c_{t} * k\right)^{0.25}}\right)^{2}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 95.