Relative permeability

Input(s)

qoq_{o}: Oil Flow Rate (cm3/s)\left(\mathrm{cm}^{3} / \mathrm{s}\right)

qwq_{w}: Water Flow Rate (cm3/s)\left(\mathrm{cm}^{3} / \mathrm{s}\right)

qTq_{T}: Total Flow Rate (cm3/s)\left(\mathrm{cm}^{3} / \mathrm{s}\right)

kok_{o}: Effective Permeability to Oil (mD)

kwk_{w}: Effective Permeability to Water (mD)

kk: Absolute Permeability (mD)

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

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

PP: Pressure value that read from Pressure Gauge (Atm)

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

A: Open-Flow Area of the Plug (cm2)\left(\mathrm{cm}^{2}\right)

Output(s)

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

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

Formula(s)

kro=kokkrw=kwkkro=10.001127qoμoLkAΔPkrw=10.001127qwμwLkAΔP\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.


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