Abstract
The role of wettability, often characterized by contact angle (θ), in two-phase immiscible phases displacement is not well understood. In this study, the color gradient lattice Boltzmann method (LBM), capable of maintaining the prescribed θ (from 0° to 180° at intervals of 10°) throughout the numerical simulations, was used to investigate the displacement patterns and displacement efficiency in a 2D porous medium. The capillary numbers (Ca) used were 0.01, 1, and 100, and the viscosity ratios (M) used were 0.1, 1, and 10. At M=10, the saturation (S) had a bilinear relationship with θ, while for M=0.1 and 1, the S-θ relationships were complicated by Ca. A saturation contour in the M-Ca-θ space was proposed to demonstrate the movement of a traditional 2D M-Ca phase diagram with θ increments. The value of S continued to increase after the breakthrough, and the final saturation (0.997) for the hydrophilic condition (θ=10°) was higher than that (0.673) for the hydrophobic condition (θ=170°).
Abstract
目的
研究润湿性对于多孔介质驱替的影响, 以提高驱替效率。
创新点
1. 同时考虑了润湿性、毛细管数和粘滞比三者对驱替的影响并建立了三维相图; 2. 采用可以准确模拟接触角的边界条件算法, 且模拟范围包含所有润湿性条件。
方法
采用格子波尔兹曼方法(LBM)对不同毛细管数-粘滞比组合下的19组接触角进行模拟, 建立其与驱替形态和效率的影响。
结论
1. 存在最优接触角使得击穿时的驱替效率最高; 2. 三维驱替相图包含了传统相图, 反映了润湿性会使二维相图的驱替区域整体偏移。
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Acknowledgments
This work is supported by the Basic Science Center Program for Multiphase Evolution in Hypergravity of the National Natural Science Foundation of China (No. 51988101), and the National Natural Science Foundation of China (Nos. 42177118 and 51779219). Financial support from the Overseas Expertise Introduction Center for Discipline Innovation (No. B18047) is also acknowledged.
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Chen ZHOU established the numerical simulation and wrote the first draft of the manuscript. Wen-yuan WANG and Ke-xin CHEN helped to analyze the results. Ze-jian CHEN, Jongwon JUNG, Shuai ZHANG, and Yun-min CHEN provided important suggestions on the improvement of the study. Bate BATE revised and edited the final version.
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Chen ZHOU, Wen-yuan WANG, Ke-xin CHEN, Ze-jian CHEN, Jongwon JUNG, Shuai ZHANG, Yun-min CHEN, and Bate BATE declare that they have no conflict of interest.
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Zhou, C., Wang, Wy., Chen, Kx. et al. Influence of wettability in immiscible displacements with lattice Boltzmann method. J. Zhejiang Univ. Sci. A 23, 704–720 (2022). https://doi.org/10.1631/jzus.A2200047
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DOI: https://doi.org/10.1631/jzus.A2200047