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 .