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 $3\left(\mathrm{ft}^{2}\right)$

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

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

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