Interporosity flow coefficient

Input(s)

A: Surface Area of the Matrix Block (ft2)\left(\mathrm{ft}^{2}\right)

V\mathrm{V}: Volume of the Matrix Block (ft3)\left(\mathrm{ft}^{3}\right)

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

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

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

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

Output(s)

α\alpha: Block-Shape Parameter (1/ft2)\left(1 / \mathrm{ft}^{2}\right)

λ\lambda: Interporosity Flow Coefficient (dimensionless)

Formula(s)

α=AVxλ=αkm(rw2)kf\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 .


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