用于模拟多孔介质中高密度和高粘度比的两相流传输的伪势格 Boltzmann 方法,Geofluids

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用于模拟多孔介质中高密度和高粘度比的两相流传输的伪势格 Boltzmann 方法
Geofluids ( IF 1.2 ) Pub Date : 2021-08-06 , DOI: 10.1155/2021/5668743
Eslam Ezzatneshan ₁ , Reza Goharimehr ₁

Affiliation

在这项工作中，研究了基于赝势 Shan-Chen (SC) 模型的多相晶格玻尔兹曼方法 (LBM) 的能力，用于模拟高密度和高粘度比下通过多孔介质的两相流。SC LBM 的准确性和鲁棒性通过单弛豫时间 (SRT) 和多弛豫时间 (MRT) 碰撞算子的实现以及位移速度法 (SVM) 和精确差分法 (EDM) 的强制方案的集成来检验）。在此，实施了两个状态方程 (EoS)，即标准的 Shan-Chen (SC) EoS 和 Carnahan-Starling (CS) EoS，以分析用于模拟高速两相流的数值技术的性能。 -密度比。对强制方案的适当修改也用于消除在低还原温度下研究的两相流问题模拟中的热力学不一致。通过考虑悬浮在气相中的液滴的平衡状态，对 SC LBM 的这些改进进行了比较研究。求解器根据液-气系统的分析共存曲线和拉普拉斯定律的表面张力估计进行了验证。然后，根据获得的结果，得出结论选择有效的数值算法，包括适当的碰撞算子、现实的 EoS 和准确的强迫方案，用于模拟通过多孔介质的多相流传输。在由毛细管数和动态粘度比定义的不同流动条件下，使用本数值方案预测通过多孔介质的两相流传输模式。获得的非润湿相饱和度、侵入流体的渗透结构和多孔介质中两相流的位移模式与文献报道的结果相当。本研究表明，采用 MRT-EDM 方案、CS EoS 和改进的强制方案的 SC LBM 对估计通过多孔介质的两相流动特性是有效和准确的。侵入流体的渗透结构和多孔介质中两相流的位移模式与文献报道的具有可比性。本研究表明，采用 MRT-EDM 方案、CS EoS 和改进的强制方案的 SC LBM 对估计通过多孔介质的两相流动特性是有效和准确的。侵入流体的渗透结构和多孔介质中两相流的位移模式与文献报道的具有可比性。本研究表明，采用 MRT-EDM 方案、CS EoS 和改进的强制方案的 SC LBM 对估计通过多孔介质的两相流动特性是有效和准确的。

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A Pseudopotential Lattice Boltzmann Method for Simulation of Two-Phase Flow Transport in Porous Medium at High-Density and High–Viscosity Ratios

In this work, the capability of a multiphase lattice Boltzmann method (LBM) based on the pseudopotential Shan-Chen (S-C) model is investigated for simulation of two-phase flows through porous media at high-density and high–viscosity ratios. The accuracy and robustness of the S-C LBM are examined by the implementation of the single relaxation time (SRT) and multiple relaxation time (MRT) collision operators with integrating the forcing schemes of the shifted velocity method (SVM) and the exact difference method (EDM). Herein, two equations of state (EoS), namely, the standard Shan-Chen (SC) EoS and Carnahan-Starling (CS) EoS, are implemented to assay the performance of the numerical technique employed for simulation of two-phase flows at high-density ratios. An appropriate modification in the forcing schemes is also used to remove the thermodynamic inconsistency in the simulation of two-phase flow problems studied at low reduced temperatures. The comparative study of these improvements of the S-C LBM is performed by considering an equilibrium state of a droplet suspended in the vapor phase. The solver is validated against the analytical coexistence curve for the liquid-vapor system and the surface tension estimation from the Laplace Law. Then, according to the results obtained, a conclusion has been made to choose an efficient numerical algorithm, including an appropriate collision operator, a realistic EoS, and an accurate forcing scheme, for simulation of multiphase flow transport through a porous medium. The patterns of two-phase flow transport through the porous medium are predicted using the present numerical scheme in different flow conditions defined by the capillary number and the dynamic viscosity ratio. The results obtained for the nonwetting phase saturation, penetration structure of the invading fluid, and the displacement patterns of two-phase flow in the porous medium are comparable with those reported in the literature. The present study demonstrates that the S-C LBM with employing the MRT-EDM scheme, CS EoS, and the modified forcing scheme is efficient and accurate for estimation of the two-phase flow characteristics through the porous medium.

更新日期：2021-08-07

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