Average permeability for linear flow - Series beds

Input(s)

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

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

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

$L_{1}$: Length of layer $1(\mathrm{ft})$

$L_{2}$: Length of layer $2(\mathrm{ft})$

$L_{3}$: Length of layer $3(\mathrm{ft})$

Output(s)

$k_{\text {avg }}$: Average Permeability in Linear Systems Series (mD)

Formula(s)

$$ k_{a v g}=\frac{L_{1}+L_{2}+L_{3}}{\frac{L_{1}}{k_{1}}+\frac{L_{2}}{k_{2}}+\frac{L_{3}}{k_{3}}} $$

Reference(s)

Ahmed, T. (2006). Reservoir Engineering Handbook. Elsevier, Page: 240.