Kailin Wang, Shintaro Matsushita*, Sotheavuth Sin, Wilson Susanto, Bowen Wang, Tetsuya Suekane
Department of Mechanical Engineering, Institute of Science Tokyo, 2-12-1-I6-33, Ookayama, Meguro-ku, Tokyo 152-8550, Japan.
*Corresponding author: Shintaro Matsushita
Abstract
The characteristic of two-phase immiscible flow in porous media is controlled by different kinds of force, such as interface surface tension (capillary force) and fluid viscosity (viscous force). Based on those two forces, three typical displace-ment patterns in porous media are divided, named as capillary fingering, viscous fingering and stable displacement. However, the impact of inertial force in displacement pattern, which generate due to the flow direction or velocity change of fluid, is always neglected. This research used direct numerical simulation (DNS) to study the two-phase immiscible pattern with a wide range of capillary number (Ca) and ratio of Reynolds number (Re). The Ca is a dimensionless value which represents the ratio of viscous force and capillary force. While Re represents the ratio of inertial force and viscous force. The impact of forces on displacement patterns were determined based on the quantitative analyses of the saturation distribution as functions of Ca and Re. The result shows that inertial effects have minimal influence on flow conditions at low capillary numbers. However, at high capillary numbers, capillary forces become less significant, and inertial effects strongly influence flow conditions. These findings contribute the different insight of fluid displacement patterns, controlled by balance of inertial, capillary and viscous forces, has a noticeable influence on recovery or storage efficiency in subsurface process.
References
[1] Wang K, Li L, Wang Y, Zhang S. Design and hydraulic performance studies on an axial lead-bismuth pump for GEN-IV reactors. Int. J. Energy Res. 2021;45:11822-11836. https://doi.org/10.1002/er.5778.
[2] Li X, Li L, Ma W, Wang W. Two-phase flow patterns identification in porous media using feature extraction and SVM. Int. J. Multiph. Flow. 2022;156:104222. https://doi.org/10.1016/j.ijmultiphaseflow.2022.104222.
[3] Sin S, Imai S, Mahardika MA, Patmonoaji A, Nasir M, Susanto W, Matsushita S, Suekane T. Three-dimensional visualization of Rayleigh-Bénard convection in porous media. Adv. Water Resour. 2024;186:104666.
https://doi.org/10.1016/j.advwatres.2024.104666.
[4] Xu H, Liu Y, He S, Zheng JN, Jiang L, Song Y. Enhanced CO2 hydrate formation using hydrogen-rich stones, L-Methionine and SDS: Insights from kinetic and morphological studies. Energy. 2024;291:130280. https://doi.org/10.1016/j.energy.2024.130280.
[5] Hu Y, Patmonoaji A, Zhang C, Suekane T. Experimental study on the displacement patterns and the phase diagram of immiscible fluid displacement in three-dimensional porous media. Adv. Water Resour. 2020;140:103584. https://doi.org/10.1016/j.advwatres.2020.103584.
[6] Mo J, Zhang C, Zheng W, Hu Y, Li Z, Suekane T. Influence of binder content on gas-water two-phase flow and displacement phase diagram in the gas diffusion layer of PEMFC: A pore network view. Int. J. Heat Mass Transf. 2024;231:125838. https://doi.org/10.1016/j.ijheatmasstransfer.2024.125838.
[7] Wang K, Matsushita S, Yamashita S, Nasir M, Suekane T. Energy transfer process during Haines jumps and meniscus reconfiguration with a high-density and viscosity ratio. Int. J. Heat Mass Transf. 2024;230:125749. https://doi.org/10.1016/j.ijheatmasstransfer.2024.125749.
[8] Matsushita S, Aoki T. A weakly compressible scheme with a diffuse-interface method for low Mach number two-phase flows. J. Comput. Phys. 2019;376:838-862. https://doi.org/10.1016/j.jcp.2018.10.019.
[9] Matsushita S, Aoki T. Gas-liquid two-phase flows simulation based on weakly compressible scheme with interface-adapted AMR method. J. Comput. Phys. 2021;445:110605. https://doi.org/10.1016/j.jcp.2021.110605.
[10] Yang K, Aoki T. Weakly compressible Navier-Stokes solver based on evolving pressure projection method for two-phase flow simulations. J. Comput. Phys. 2021;431:110113. https://doi.org/10.1016/j.jcp.2021.110113.
How to cite this paper
The Characteristics of Two-phase Flow in Porous Media over Wide Range of Capillary, Viscous, and Inertial Force
How to cite this paper: Kailin Wang, Shintaro Matsushita, Sotheavuth Sin, Wilson Susanto, Bowen Wang, Tetsuya Suekane. (2024) The Characteristics of Two-phase Flow in Porous Media over Wide Range of Capillary, Viscous, and Inertial Force. Journal of Applied Mathematics and Computation, 8(4), 319-324.
DOI: http://dx.doi.org/10.26855/jamc.2024.12.006