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.