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.