Relative permeability

Input(s)

\(q_{o}\): Oil Flow Rate \(\left(\mathrm{cm}^{3} / \mathrm{s}\right)\)

\(q_{w}\): Water Flow Rate \(\left(\mathrm{cm}^{3} / \mathrm{s}\right)\)

\(q_{T}\): Total Flow Rate \(\left(\mathrm{cm}^{3} / \mathrm{s}\right)\)

\(k_{o}\): Effective Permeability to Oil (mD)

\(k_{w}\): Effective Permeability to Water (mD)

\(k\): Absolute Permeability (mD)

\(\mu_{o}\): Viscosity of Oil Phase \((\mathrm{cP})\)

\(\mu_{w}\): Viscosity of Water Phase \((\mathrm{cP})\)

\(P\): Pressure value that read from Pressure Gauge (Atm)

L: Plug Length \((\mathrm{cm})\)

A: Open-Flow Area of the Plug \(\left(\mathrm{cm}^{2}\right)\)

Output(s)

\(k_{r o}\): Relative Permeability to Oil (mD)

\(k_{r w}\): Relative Permeability to Water (mD)

Formula(s)

\[ \begin{gathered} \mathrm{k}_{\mathrm{ro}}=\frac{\mathrm{k}_{\mathrm{o}}}{\mathrm{k}} \\ \mathrm{k}_{\mathrm{rw}}=\frac{\mathrm{k}_{\mathrm{w}}}{\mathrm{k}} \\ \mathrm{k}_{\mathrm{ro}}=-\frac{1}{0.001127} \cdot \frac{\mathrm{q}_{\mathrm{o}} \mu_{\mathrm{o}} \mathrm{L}}{\mathrm{k} \cdot \mathrm{A} \cdot \Delta P} \\ \mathrm{k}_{\mathrm{rw}}=-\frac{1}{0.001127} \cdot \frac{\mathrm{q}_{\mathrm{w}} \mu_{\mathrm{w}} \mathrm{L}}{\mathrm{k} \cdot \mathrm{A} \cdot \Delta P} \end{gathered} \]

Reference(s)

Mihcakan, I.M., Alkan, K.H., Ugur, Z., Petroleum and Natural Gas Laboratory, Course Notes, II-Properties of Porous Media, ITU, Petroleum and Natural Gas Engineering, Istanbul, Turkey, 2001. Page: 4-2.

Relative permeability

Input(s)

Output(s)

Formula(s)

Reference(s)

Related

Relative permeability - Corey exponents

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