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ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
PORE-SCALE SIMULATION OF DISPLACING IMMISCIBLE FLUIDS IN A SECOND ORDER OF SIERPINSKI CARPET POROUS MEDIA USING A LATTICE-BOLTZMANN METHOD.
Submission Author:
Ricardo Bazarin , SC
Co-Authors:
Ricardo Bazarin, Christian Naaktgeboren, Silvio L. M. Junqueira
Presenter: Ricardo Bazarin
doi://10.26678/ABCM.ENCIT2018.CIT18-0576
Abstract
The Lattice-Boltzmann method, which uses pseudo-potential model to describe interfacial dynamics, is used to simulate immiscible multiphase flow in porous media. The porous medium is represented by the second order of the Sierpinski carpet fractal geometry, being a geometry commonly used in the representation of porous media. The influence of capillary number ($Ca$) and viscosity ratio ($M$) is studied systematically. In the neutral displacement, we have identified three different states, stable displacement, viscous fingering, and capillary fingering, of which all are dependent of the capillary number and viscosity ratio. Analyzing the sweep efficiency by increasing capillary number in the range of $10^{-4}\leq Ca\leq 10^{-2}$. Sweep efficiency also increase along with the transition between different displacement states. For $1/10\leq M\leq 20$ the viscosity ratio increases with the sweep efficiency, as for high values of capillarity number the transition between different displacement states occurs. The results obtained numerically in the present work agree with the experimental results of \citet{Zhang}, verifying the representation of the fluid displacement process.
Keywords
Displacement, Lattice Boltzmann method, capillary number, viscosity ratio, sweep efficiency
