# 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 .

## Related

### Interporosity flow coefficient in pressure build-up test

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