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首页> 外文期刊>Computers & Fluids >Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method
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Study of immiscible displacements in porous media using a color-gradient-based multiphase lattice Boltzmann method

机译：基于颜色梯度的多相晶格玻尔兹曼方法研究多孔介质中的不混溶位移

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摘要

A multiple-relaxation-time (MRT) Rothman and Keller (R-K) lattice Boltzmann model is presented for two phase flows with kinematic viscosity contrast. For two-phase flows in porous media, the numerical stability may be reduced due to the presence of complex wall boundaries. The MRT R-K model is shown to be able to ensure better numerical stability and reduce spurious currents significantly. The non-equilibrium bounce back scheme is extended to handle the pressure and velocity boundary condition in two-phase flow simulations. Immiscible displacement in complex heterogeneous media is investigated and three typical flow patterns are obtained, stable displacement, viscous fingering and capillary fingering. Cases with both capillary number Ca and viscosity ratio M ranging from 10~(-3) to 10~3 are simulated. The three typical flow patterns correspond to the three domains in the M-Ca phase-diagram. The boundaries that separate the three domains in the model results are qualitatively consistent with previous experimental studies. The MRT R-K model coupled with the developed boundary condition is a good tool for the study of two-phase flows in porous media.
机译：针对具有运动粘度对比的两相流，提出了多重弛豫时间（MRT）的罗斯曼和凯勒（R-K）格子Boltzmann模型。对于多孔介质中的两相流，由于存在复杂的壁边界，因此数值稳定性可能会降低。 MRT R-K模型显示出能够确保更好的数值稳定性并显着降低杂散电流。非平衡反弹方案被扩展为处理两相流模拟中的压力和速度边界条件。研究了复杂非均质介质中的不混溶位移，获得了三种典型的流动模式：稳定位移，粘性指法和毛细管指法。模拟了毛细管数为Ca且粘度比M为10〜（-3）至10〜3的情况。三种典型的流型对应于M-Ca相图中的三个域。在模型结果中将三个域分开的边界在质量上与先前的实验研究一致。 MRT R-K模型与发达的边界条件相结合是研究多孔介质中两相流的一个很好的工具。

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