Average permeability for linear flow - Layered beds

Input(s)

$k_{1}$: Permeability for Layer $1(\mathrm{mD})$

$k_{2}$: Permeability for Layer $2(\mathrm{mD})$

$k_{3}$: Permeability for Layer $3(\mathrm{mD})$

$A_{1}$: Area of Layer $1\left(\mathrm{ft}^{2}\right)$

$A_{2}$: Area of Layer $2\left(\mathrm{ft}^{2}\right)$

$A_{3}$: Area of Layer $3\left(\mathrm{ft}^{2}\right)$

Output(s)

$k_{\text {avg }}$: Average Permeability in Linear Systems when there is no crossflow between layers (mD)

Formula(s)

$$ k_{\text {avg }}=\frac{k_{1} * A_{1}+k_{2} * A_{2}+k_{3} * A_{3}}{A_{1}+A_{2}+A_{3}} $$

Reference(s)

Ahmed, T. (2006). Reservoir Engineering Handbook. Elsevier, Page: 238.