Lattice Boltzmann Simulation of Fluid Flow with Complex Geometrical Boundaries
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In this study, a numerical simulation of fluid flow in porous media has been carried out by using the lattice Boltzmann method (LBM) which is a new mesoscopic approach from statistical dynamics of particles repeating collisions and propagations. The data of solid boundary in the flow field are based on the structure of Ni-Cr sintered alloy measured with micro-focus X-ray computer tomography system with 10μm-order resolution. In the numerical result, it is observed that the fluid moves through complicated micro-scale channels due to non-uniform porosity in the media. This indicates the applicability of LBM to microscopic analysis of fluid flow through geomaterials.Keywords:
Lattice Boltzmann methods
Mesoscopic physics
Lattice Boltzmann methods
Mass diffusivity
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Lattice Boltzmann scheme with real numbered solid density for the simulation of flow in porous media
A modified lattice Boltzmann scheme for the simulation of flow in porous media is introduced, where momentum loss due to the presence of solid obstacles to flow is incorporated into the evolution equation. A real numbered parameter specified at each lattice node is related to the density of solid scatterers and represents the effect of porous medium solid structure on hydrodynamics. This scheme removes both the need for spatial and temporal averaging and the microscopic length scales associated with important classes of porous media. A numerical study demonstrates the adherence of the approach to the Navier-Stokes equation with an effective damping term. The potential use of the scheme to aid permeability predictions in realistic geological materials is discussed.
Lattice Boltzmann methods
Lattice (music)
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Lattice Boltzmann methods
Darcy's law
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The flow through porous media was numerically simulated using lattice Boltzmann method(LBM).By predicting permeability,the capability and accuracy for simulating flow through porous media were evaluated for various of lattice models:lattice Bhatnagar-Gross-Krook(LBGK)or called single relaxation time(SRT),multiple relaxation time(MRT)and entropic lattice Boltzmann method(ELBM). In order to research the influences of each free parameter to permeability in the MRT model,a total of 12 kinds of combinations were selected.Furthermore,the large eddy simulation(LES)and LBM were coupled to simulate flow through porous media at high Reynolds number and the transformation of flow patterns.The results indicate that permeability increased with viscosity predicted by LBGK and ELBM, but there are little variation for permeability predicted by MRT.In addition,the different combinations of relaxation parameters have a greater impact to the permeability,and an optimum combination is recommended for simulating flow through porous media.Simulated results are in quantitatively agreement with the empirical formula.The transformations of flow patterns are successfully predicted in porous media using LES-MRT.Higher Reynolds number,more and bigger vortexes in porous media are observed.
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The numerical simulation of lattice Boltzmann method (LBM) is one of the most efficient methods to investigate the complex porous media structure, particularly the Klinkenberg effect. It is very useful to deal with the related complex boundary problems.The problems of gas flow through porous media are studied by using the lattice Boltzmann methods. Comparison between the numerical simulation results and the experimental results is carried out. It is shown that the lattice Boltzmamn method is one of the most efficient methods to simulate the problems of gas flow through complex porous media.
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An understanding of fluid flow and transport in porous media is crucial in the development of better oil and gas recovery processes. With the emergence of parallel computing, today this is achieved more efficiently through direct numerical simulations of microscopic flow and transport. In order for this to be done, porous media models have to be created and multi-phase flow must be simulated. The Lattice Boltzmann Method (LBM) is a flexible computational tool that allows one to simulate fluid flow in complex heterogeneous media. It treats flow as the collective dynamics of pseudo particles and obtains a macroscopic equivalent to the Navier Stokes equations by approximating collision and propagation. For this research, the Rothman and Keller Lattice Boltzmann Method (LBM) was used to simulate two-phase fluid flow in two-dimensional porous media structures. This color gradient method can simulate different wettability and large viscosity ratios with ease and accuracy using a vectorized 2-Dimensional LBM code. Nine different artificial two-dimensional porous media across three porosity values (60%, 65%, and 70%) were created. This was done to understand the influence of pore structure and arrangement on fluid flow for porous medias with the same porosity value. A total of 81 simulations were conducted in which a “red” fluid was injected in a porous medium that was initially saturated with a “blue” fluid of a different viscosity. Different wetting angles and viscosity ratios were used for the simulation to understand their influence on the flow morphology. The result showed that the viscous fingers for the wetting fluid (𝜃 = 0◦) were somewhat broader and more rounded relative to the fingers of the non-wetting fluid (𝜃 = 180◦). It also showed that the recovery factor benefits from higher porosity values. Observing the flow patterns from the simulations showed that the flow morphology of porous medias with the same porosity are similar irrespective of the pore arrangement and structure. The results from this experiment show that with increased viscosity ratio, the recovery ratio is higher, which means more production.
Lattice Boltzmann methods
Multiphase flow
Viscous fingering
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Modeling of dring of capillary porous media is difficult due to the complex and coupled heat and mass transfer that occur at dynamic liquid-gas-sold interface. Thus far, drying was simulated using either continuum models or pore-network models, both of which have limitations. In this work, the Lattice Boltzmann Method (LBM) is used to simulate the drying in porous media. The LBM is ideal for such simulations as it can incorporate complex effects in a simple way to exhibit realistic fluid-gas interface during drying of capillary porous media. Keywords: Lattice Boltzmann Method; Capillary Porous media; Drying, Pore Network.
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Isothermal process
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When developing tailored porous media, accurate assessment of the flow characteristics is essential. A numerical simulation is an effective method characterizing the properties of porous media, provided it precisely evaluates the effect of the structure of the porous medium. A lattice Boltzmann method (LBM) is expected to be a relevant tool to predict flows through such geometrically complex flow fields. Knowing the structure of the medium obtained from various steps of phase separation process of a binary mixture, it is examined through LBM simulations how the structure affects the bulk properties of porous media which include dead-end flow passages as well. After validating the accuracy of the method by comparing the simulated permeability data with experimental or empirical ones for packed beds of homogeneous spheres, the permeability of inhomogeneous porous media is related mainly to specific surface areas.
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