# 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.