Reservoir wettability characterization (rise in core method)

Input(s)

$\mu_{1}$: Viscosity of Oil Phase $(\mathrm{cP})$

$\mu_{2}$: Viscosity of Water Phase $(\mathrm{cP})$

$\rho_{1}$: Density of Oil Phase $\left(\mathrm{g} / \mathrm{cm}^{3}\right)$

$\rho_{2}$: Density of Water Phase $\left(\mathrm{g} / \mathrm{cm}^{3}\right)$

m: Mass of Fluid Penetrated into a Porous Rock (g) $t$: Time (min)

C: Characteristic Constant of the Porous Rock (dimensionless)

$\gamma_{L 2 L 1}$: Surface Tension between oil and water phases $(\mathrm{dyn} / \mathrm{cm})$

Output(s)

$\theta_{12}$: Contact Angle of Liquid/Liquid/Rock System (degree)

Formula(s)

$$ \cos \theta_{12}=\frac{\left(\mu_{1} \rho_{2}^{2}\right)-\left(\mu_{2} \rho_{1}^{2}\right)}{\rho_{1}^{2} \rho_{2}^{2} \cdot \mathrm{C} \cdot \gamma_{\mathrm{L} 2 \mathrm{~L} 1}} \cdot \frac{\mathrm{m}^{2}}{\mathrm{t}} $$

Reference(s)

Ghedan, S., \& Canbaz, C. H. (2014). U.S. Patent No. 8,768,628. Washington, DC: U.S. Patent and Trademark Office, Page: 5.