Interporosity flow coefficient

Input(s)

A: Surface Area of the Matrix Block $\left(\mathrm{ft}^{2}\right)$

$\mathrm{V}$: Volume of the Matrix Block $\left(\mathrm{ft}^{3}\right)$

$\mathrm{x}$: Characteristic Length of the Matrix Block (ft)

$\mathrm{k}_{\mathrm{m}}$: Permeability of Matrix $(\mathrm{mD})$

$\mathrm{k}_{\mathrm{f}}$: Permeability of Fracture $(\mathrm{mD})$

$\mathrm{r}_{\mathrm{w}}$: Wellbore Radius ( $\mathrm{ft}$ )

Output(s)

$\alpha$: Block-Shape Parameter $\left(1 / \mathrm{ft}^{2}\right)$

$\lambda$: Interporosity Flow Coefficient (dimensionless)

Formula(s)

$$ \begin{gathered} \alpha=\frac{\mathrm{A}}{\mathrm{V} * \mathrm{x}} \\ \lambda=\frac{\alpha * \mathrm{k}_{\mathrm{m}} *\left(\mathrm{r}_{\mathrm{w}}^{2}\right)}{\mathrm{k}_{\mathrm{f}}} \end{gathered} $$

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 1, Page: 82 .