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.