A lattice Boltzmann flux solver with the 1D-link interpolation scheme for simulating fluid flow and heat transfer in fractured porous media

IF 4.2 2区 地球科学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Fuyan Zhao , Peng Hong , Chuanshan Dai , Guiling Wang , Haiyan Lei
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Abstract

In this study, we propose an improved lattice Boltzmann flux solver (LBFS) to simulate the thermal-hydraulic (TH) processes within fractured porous media. In LBFS, the flux at cell interfaces is calculated using a locally reconstructed lattice Boltzmann model (LBM). Unlike conventional methods that use direct mathematical approximations, LBFS can suppress the oscillation of solutions and has better accuracy. However, when simulating two-dimensional fractured porous media problems, the rock matrix is divided into surface cells, while fractures are usually divided into line cells. This increases the complexity of implementing the LBFS, as the reconstruction of interface flux in different dimensions requires the use of discrete velocity models (DmQn) in different dimensions. To address this challenge, we introduce an innovative interpolation scheme based on the improved D1Q3 model, thereby establishing a dimensionally independent approach for the reconstruction of the interface flux. This approach greatly reduces the complexity of applying the LBFS to hybrid dimensional problems and simplifies the computational process. The present method is validated by simulating three typical cases and the results show good agreement with the reference solutions. Finally, the improved LBFS is applied to analyze the TH coupling behavior in fractured porous media with a single fracture and a more complex scenario involving two intersected fractures.

采用一维链接插值方案的格子波尔兹曼通量求解器,用于模拟断裂多孔介质中的流体流动和热传递
在本研究中,我们提出了一种改进的晶格玻尔兹曼通量求解器(LBFS),用于模拟断裂多孔介质中的热液(TH)过程。在 LBFS 中,利用局部重建的晶格玻尔兹曼模型(LBM)计算单元界面的通量。与使用直接数学近似的传统方法不同,LBFS 可以抑制解的振荡,精度更高。然而,在模拟二维断裂多孔介质问题时,岩石基质被划分为表面单元,而断裂通常被划分为线单元。这增加了实现 LBFS 的复杂性,因为重建不同维度的界面通量需要使用不同维度的离散速度模型(DmQn)。为了应对这一挑战,我们引入了一种基于改进的 D1Q3 模型的创新插值方案,从而建立了一种与维度无关的界面通量重建方法。这种方法大大降低了将 LBFS 应用于混合维度问题的复杂性,并简化了计算过程。本方法通过模拟三个典型案例进行了验证,结果显示与参考解具有良好的一致性。最后,改进的 LBFS 被应用于分析断裂多孔介质中的 TH 耦合行为,包括单一断裂和涉及两条相交断裂的更复杂情况。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Computers & Geosciences
Computers & Geosciences 地学-地球科学综合
CiteScore
9.30
自引率
6.80%
发文量
164
审稿时长
3.4 months
期刊介绍: Computers & Geosciences publishes high impact, original research at the interface between Computer Sciences and Geosciences. Publications should apply modern computer science paradigms, whether computational or informatics-based, to address problems in the geosciences.
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