用格子波耳兹曼方法模拟双重孔隙介质中的流体迁移
|
摘要
作者在本文中介绍了基于格子波耳兹曼模型的双重孔隙介质中流体运移的数值模拟计算方法。我们从格子波耳兹曼碰撞模型出发 ,利用格子波耳兹曼方程、Chapman -Enskog展开 ,以及多尺度技术 ,得到了描述双重孔隙介质中流体迁移的二维扩散方程。利用格子气自动机方法计算该扩散方程 ,实现了对双重孔隙介质中流体运移过程的数值仿真模拟。数值实验表明 ,我们所使用的方法正确、有效
This paper introduces a numerical modeling technique for fluid flow in double porosity medium, which is based on lattice Boltzmann (LB) model. A 2D diffusion equation describing fluid flow in double porosity medium is derived from the lattice Boltzmann collision model. The Lattice Boltzmann equation, Chapman-Enskog expansion and multiscale technique are used in the derivation. By solving the diffusion equation using the lattice gas automata (LGA), we develop a numerical technique for the modeling of fluid flow in double porosity medium. A numerical test example showed is the perfect.
This paper introduces a numerical modeling technique for fluid flow in double porosity medium, which is based on lattice Boltzmann (LB) model. A 2D diffusion equation describing fluid flow in double porosity medium is derived from the lattice Boltzmann collision model. The Lattice Boltzmann equation, Chapman-Enskog expansion and multiscale technique are used in the derivation. By solving the diffusion equation using the lattice gas automata (LGA), we develop a numerical technique for the modeling of fluid flow in double porosity medium. A numerical test example showed is the perfect.
引文
[1] ChenHD ,ChenSY ,MatthaeusMH .RecoveryoftheNavier—StokesequationusingalatticeBoltzmannmethod[J].Physicsreview,1992,45A :5339.
[2] BenziR ,SucciS ,VergassolaM .ThelatticeBoltzmannequations:Theoryandapplications[J].Physics,Report,1992,222:147.
[3] ChenHD ,ChenSY ,DdooleenG .LatticeBoltzmannmodelforcompressiblefluids[J].Physics,Report,1993,46A :1967.
[4] Wolf-GladrowD .AlatticeBoltzmannequationfordiffusion[J].statistical,Physics.1995,79(5/6):1023
[5] HouSL ,ZhouOS ,ChenSY ,etal.SimulationofcavityflowbythelatticeBoltzmannmethod[J].Computational.Physics,1995,118:329
[6] FrischU ,HasslacherB ,PomeauY .LatticegasautomataforNavier—Stokeseqution[J].Physics.Rev.letters,1986,56:1505.
[7] WolframS .Cellularautomatafluids:basictheory[J].Statist.Physics,1986,45:471.
[8] MoraP .ThelatticeBoltzmannphononiclatticesolid[J].Statist.Physics,1992,68:591.
[9] 姚姚,细胞自动机方法地震正演模拟[J].石油地球物理勘探,1995,30:216.
[10] 李幼铭,胡健行.细胞自动机在地震波传播研究中应用[J].地球物理学报,1995,38:651.
[11] RenweiMei,WeiShyy,DazhiYu,etal.LatticeBoltzmannfor3-DflowswithCurvedBoundary[J].ComputPhysics,2000,161:680.
[12] D .P .Ziegler,BoundaryconditionsforlatticeBoltzmannsimulations[J].Stat,Physics,1993,71:1171.
[13] SauroSucci,RobertoBenzi,ThelatticeBoltzmannequation:Anewtoolforcomputationalfluiddynamics[J].PhysicalD 1991,47:219.
[14] 葛家理油气层渗流力学[M].北京:石油工业出版社,1982
[15] 胡健行,李幼铭.模拟固体中波动过程的细胞自动机建模研究[J].地球物理学报,1997,40(1):120.
[2] BenziR ,SucciS ,VergassolaM .ThelatticeBoltzmannequations:Theoryandapplications[J].Physics,Report,1992,222:147.
[3] ChenHD ,ChenSY ,DdooleenG .LatticeBoltzmannmodelforcompressiblefluids[J].Physics,Report,1993,46A :1967.
[4] Wolf-GladrowD .AlatticeBoltzmannequationfordiffusion[J].statistical,Physics.1995,79(5/6):1023
[5] HouSL ,ZhouOS ,ChenSY ,etal.SimulationofcavityflowbythelatticeBoltzmannmethod[J].Computational.Physics,1995,118:329
[6] FrischU ,HasslacherB ,PomeauY .LatticegasautomataforNavier—Stokeseqution[J].Physics.Rev.letters,1986,56:1505.
[7] WolframS .Cellularautomatafluids:basictheory[J].Statist.Physics,1986,45:471.
[8] MoraP .ThelatticeBoltzmannphononiclatticesolid[J].Statist.Physics,1992,68:591.
[9] 姚姚,细胞自动机方法地震正演模拟[J].石油地球物理勘探,1995,30:216.
[10] 李幼铭,胡健行.细胞自动机在地震波传播研究中应用[J].地球物理学报,1995,38:651.
[11] RenweiMei,WeiShyy,DazhiYu,etal.LatticeBoltzmannfor3-DflowswithCurvedBoundary[J].ComputPhysics,2000,161:680.
[12] D .P .Ziegler,BoundaryconditionsforlatticeBoltzmannsimulations[J].Stat,Physics,1993,71:1171.
[13] SauroSucci,RobertoBenzi,ThelatticeBoltzmannequation:Anewtoolforcomputationalfluiddynamics[J].PhysicalD 1991,47:219.
[14] 葛家理油气层渗流力学[M].北京:石油工业出版社,1982
[15] 胡健行,李幼铭.模拟固体中波动过程的细胞自动机建模研究[J].地球物理学报,1997,40(1):120.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心