摘要
为实现多组分复杂流体流动与扩散耦合过程的准确预测,提出一种耦合多组分Shan-Chen格子玻尔兹曼法(lattice Boltzmann method,LBM)、Maxwell-Stefan扩散通量方程及4参数(临界温度、临界压力、偏心因子和体积修正因子)Peng-Robinson状态方程(equation of state,EOS)的多组分流体流动与扩散耦合模型(equation of state Maxwell-Stefan force model,EOS-MS模型).通过Peng-Robinson EOS计算混合流体整体的流体间作用力,结合多组分LBM中流体间作用力与压力的关系,构建组分流速与流体间作用力的关联,并代入Maxwell-Stefan方程,推导得到各组分受力的代数方程组.利用精确差分法(exact difference method,EDM)将计算得到的组分间作用力引入多组分LBM.分别模拟甲烷、乙烷纯物质及其混合物的气液两相共存问题,计算结果与标准参考数据及逸度平衡法的计算结果一致,验证了模型在预测混合流体热力学平衡态方面的准确性.通过模拟氢气、氮气和二氧化碳的三元扩散动态过程,发现模型结果与有限体积法预测高度吻合,并成功复现了多组分流体中逆扩散等实际扩散现象,证明模型在多组分流体流动与扩散耦合模拟中的有效性.本研究构建的EoS-MS力模型可准确预测多组分流动与扩散耦合过程,避免了在组分受力计算中引入人为假设带来的误差,为解决地热资源利用等领域中存在的多组分复杂流动问题提供了新方法.
To achieve accurate prediction of coupled multicomponent fluid flow and diffusion processes,a novel coupled lattice Boltzmann model,named as EoS-MS force model,is developed by integrating the multicomponent Shan-Chen lattice Boltzmann method(LBM),the Maxwell-Stefan diffusion flux equation,and the four-parameter(critical temperature,critical pressure,eccentricity factor,and volume correction factor).The Peng-Robinson equation of state(EOS).The Peng-Robinson EOS is used to calculate the overall interparticle forces of mixed fluids.By correlating the interparticle forces with pressure in multicomponent LBM,the relationship between component velocities and interparticle forces is established.This relationship is then incorporated into the Maxwell-Stefan equation to derive an algebraic system of equations describing the forces acting on each component.The computed interparticle forces are integrated into the multicomponent LBM framework using the exact difference method.The model is validated through simulations of gas-liquid two-phase coexistence for pure methane,ethane,and their mixtures.The results show excellent agreement with standard reference data and fugacity equilibrium calculations,confirming the model′s accuracy in predicting thermodynamic equilibrium states of multicomponent fluids.Furthermore,the model is applied to simulate the dynamic ternary diffusion processes of hydrogen,nitrogen,and carbon dioxide.The predicted results are highly consistent with those obtained using the finite volume method and successfully reproduce practical diffusion phenomena such as"reverse diffusion"in multicomponent systems.These findings demonstrate the proposed model effectively captures coupled flow and diffusion behaviors in multicomponent fluid systems.This EoS-MS force model provides a robust and accurate tool for analyzing complex coupled fluid transport phenomena,avoids artificial assumptions in force calculation assumptions,and offers a new approach for solving complex multicomponent flow problems encountered in fields such as geothermal resource utilization.
作者
张浩森
钱钦
张星
张向峰
安森友
ZHANG Haosen;QIAN Qin;ZHANG Xing;ZHANG Xiangfeng;AN Senyou(Sinopec Shengli Oilfield Branch,Dongying 257000,Shandong Province,P.R.China;Shengli Oilfield(Qingdao)Technology R&D Center Co.Ltd.,Qingdao 266000,Shandong Province,P.R.China;State Key Laboratory of Intelligent Construction and Healthy Operation and Maintenance of Deep Underground Engineering,Shenzhen University,Shenzhen 518060,Guangdong Province,P.R.China)
出处
《深圳大学学报(理工版)》
北大核心
2025年第6期653-662,共10页
Journal of Shenzhen University(Science and Engineering)
基金
国家科技重大专项资助项目(2024ZD1003903)
山东省自然科学基金资助项目(ZR2024QD121)
国家自然科学基金资助项目(52474105)。
