# Average permeability for parallel-layered systems

## Input(s)

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

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

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

\(h_{1}\): Height of Layer \(1(\mathrm{ft})\)

\(h_{2}\): Height of Layer \(2(\mathrm{ft})\)

\(h_{3}\): Height of Layer \(3(\mathrm{ft})\)

## Output(s)

\(k_{\text {avg }}\): Average Permeability for Parallel-layered Systems (mD)

## Formula(s)

\[
k_{\text {avg }}=\frac{k_{1} * h_{1}+k_{2} * h_{2}+k_{3} * h_{3}}{h_{1}+h_{2}+h_{3}}
\]

## Reference(s)

Ahmed, T. (2006). Reservoir Engineering Handbook. Elsevier, Page: 237.