Numerical simulations of immiscible displacement in the cavities via lattice Boltzmann method

Numerical simulations of immiscible displacement in the cavities via lattice Boltzmann method
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格子玻尔兹曼法数值模拟空腔内不混相位移

DOI:
10.1142/s0129183115500746
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发表时间:
2015-04
影响因子:
1.9
通讯作者:
Li, Qiuxiang
Li, Qiuxiang
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Chai, Zhenhua;Shi, Baochang;Guo, Zhaoli;Li, Qiuxiang

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本文采用赝势格子Boltzmann(LB)模型研究了不同腔体中的非混溶位移。首先,我们验证了二维(2D)分层流模型,并发现数值结果与相应的解析解吻合良好。在此基础上,通过数值模拟研究了孔洞内的非混相驱替过程,重点研究了表面润湿性、毛细管数和密度比对驱替效率的影响。数值结果表明,驱油效率随毛细管数的增加先增大后减小,当毛细管数足够大时,驱油效率随毛细管数的增加而减小。接触角θ1的增大或密度比的减小使驱油效率增大,但临界毛细数减小。最后,还发现腔体的尺寸和几何形状对驱替效率有显著影响。
In this paper, the immiscible displacements in the different cavities are studied by the pseudo-potential lattice Boltzmann (LB) model. We first validate the model with a two-dimensional (2D) layered flow, and find that the numerical results agree well with the corresponding analytical solutions. Then, we perform some numerical simulations to study the immiscible displacements in the cavities, and focus on the effects of the surface wettability, capillary number and density ratio on the displacement efficiency. The numerical results show that the displacement efficiency increases with the increase of the capillary number at first and then presents a decrease with the capillary number when it is large enough. The increase of the contact angle θ1 or decrease of the density ratio increases the displacement efficiency but decreases the critical capillary number. Finally, it is also found that both the size and geometry of cavity have a significant influence on the displacement efficiency.
基于赝势的多组分/多相流多重弛豫时间格子玻尔兹曼模型
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