Turbulent gaseous flow in porous media latticeboltzmann method and smagorinsky turbulence model. A rich variety of behaviors, including higher reynolds numbers flows, phase separation, evaporation, condensation, cavitation, buoyancy, and interactions with surfaces. Macroscopic lattice boltzmann model for heat and moisture transfer. See martys, hagedorn, goujon and devaney for details. A generalized lattice boltzmann model for flow through tight porous. Breakdown of chapmanenskog expansion and the anisotropic.
Latticeboltzmann simulation of flow in 2d porous media. We use lattice boltzmann models to simulate solute transport in porous media traversed by large conduits and fit the resulting solute breakthrough curves with macroscopic continuous time random walk ctrw models. The benefits of these macroscopic porous media approaches for karst groundwater flow simulation are substantial. The fluid flow in the porous media was simulated under different conditions for the characteristic length, interfacial tension, and displacement pressure gradient. Video created by university of geneva for the course simulation and modeling of natural processes.
Lbm simulations seem to capture the essential physics associated with. The latticeboltzmann method lbm is a finite difference computational fluid dynamic approach that, in contrary to. The images shown are two 64x64x64 portions of fontainebleau sandstone acquired via xray microtomography. Simulation of coupled flow, transport, and reaction in porous media by lattice boltzmann method zhang, d. This combination of conduit flow and transport in a porous matrix represents an area of significant interest in environmental fluid mechanics. Based on the lattice boltzmann method lbm, we simulated the flow of two immiscible fluids in 2d and 3d pore spaces. In this work, a variant of the latticeboltzmann twophase colorgradient method cgm described by leclaire et al. The aim of this dissertation is to extend the lattice boltzmann method lbm to cope with parameter heterogeneity and anisotropy in mass transport equations in porous media, as well as investigating the stability and accuracy. Specifically, the single component multiphase lbm can simulate the interfacial phenomena of surface tension and adsorption and thus be used for modeling fluids such as water and its vapor in porous media. Porescale characteristics of multiphase flow in heterogeneous porous media using the lattice boltzmann method. Over the last two decades, lattice boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media.
Unified lattice boltzmann method for flow in multiscale porous media. Tianimprove the performance of lattice boltzmann method for a porous nanoscale transient. In this post, reza gooya university of copenhagen, babak shafei and fidel grandia, blog about a recentlydeveloped coupled porescale lattice boltzmann method with phreeqcrm lamp. Latticeboltzmann method for macroscopic porous media modeling journal, december 1998 freed, david m.
Prediction of sound absorption in rigid porous media with. A lattice boltzmann model for twophase flow in porous. Lb modeling is a fairly recent method that is still evolving, so fewer codes have been developed for it than for. Lattice boltzmann method for macroscopic porous media modeling. Simulation of flow in multiscale porous media using the. Validation of lattice boltzmann modeling of multiphase. The macroscopic governing equations as well as the viscosity and the permeability for such models are usually determined using a chapmanenskog expansion approach. Latticeboltzmann method for macroscopic porous media modeling article pdf available in international journal of modern physics c 908. Modeling multiphase flow at the pore scale is of interest to better understand and predict the complex flow dynamics in largescale natural porous media. A latticeboltzmann method article pdf available in geophysical research letters 208. Lattice boltzmann methods for modeling microscale flow in. A gray lattice boltzmann model has previously been developed by the.
He key laboratory of thermofluid science and engineering of ministry of education, school of energy and power engineering, xian jiaotong university, xian, shaanxi, 710049, china abstract. To investigate the gas flow characteristics in tight porous media, a microscale lattice boltzmann lb model with the regularization procedure is firstly adopted to simulate gas flow in threedimensional 3d digital rocks. Macroscopic variables lattice boltzmann modeling of. Lattice boltzmann relative permeability for co brine. Lattice boltzmann methods for singlephase and solid. The unified lattice boltzmann model is capable of simulating flow in porous media at various scales or in. A multiplerelaxationtime lattice boltzmann model for convection heat transfer in porous media qing liu1, yaling 1he1, qing li2, wenquan tao 1key laboratory of thermofluid science and engineering of moe, school of energy and power engineering, xian jiaotong university, xian, shaanxi, 710049, p.
We solve the stokes and the mass conservation equations in the interstitial space of porous media. Lattice boltzmann simulation of immiscible two phase flow. The latticeboltzmann method has recently become a useful approach for computational. The model was tested for conformance to the laws of laplace fluidfluid interfacial tension and young contact angles. A parallel processing version of the 3d shanandchen sc multicomponent, multiphase lattice boltzmann method lbm was developed and used to simulate the distributions of two immiscible fluids in porous media.
Multiphase lattice boltzmann simulations for porous media. The lattice boltzmann method is useful for computing fluid flow in complex geometries like random porous media. Sukop1 and dani or department of civil and environmental engineering, university of connecticut, storrs, connecticut, usa. Latticeboltzmann based models are frequently used to study fluid flow in porous media.
The lattice boltzmann method is a powerful technique for the computational modeling of a wide variety of complex fluid flow problems including single and multiphase flow in complex geometries. A new partialbounceback latticeboltzmann method for. Therefore, it is important to obtain the proper distribution of porosity in porous media. The lattice boltzmann method and computational analysis of. An extension to the basic latticebgk algorithm is presented for modeling a simulation region as a porous medium. Everything you need to know about the lattice boltzmann. Latticeboltzmann simulation of twophase flow in porous media c. Fluid flow in porous media with the latticeboltzmann method.
Prediction of sound absorption in rigid porous media with the lattice boltzmann method. In this paper, a lattice boltzmann lb model with double distribution functions is proposed for twophase flow in porous media where one distribution function is used for pressure governed by the poisson equation and the other is applied for saturation evolution described by the convectiondiffusion equation with a source term. We consider the latticeboltzmann method for flow in two dimensions, which has. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice boltzmann method are. Lattice boltzmann method for reacting flows in porous media. Turbulent gaseous flow in porous media latticeboltzmann. Simulation of coupled flow, transport, and reaction in. Latticeboltzmann studies of fluid flow in porous media with realistic.
The lattice boltzmann equation lbe is a simplification of the boltzmann kinetic equation where we assume that particle velocities are restricted to a discrete set of values e k, k 0, 1. Miller abstract we examine the problem of simulating single and multiphase ow in porous medium systems at the porescale using the lattice boltzmann lb method. A lattice boltzmann description of fluid flow in heterogeneous porous media is presented which is intended for modeling flow processes which occur in liquid composite molding applications. Lattice boltzmann simulation of solute transport in. Lattice boltzmann method for modeling liquidvapor interface configurations in porous media michael c. The lattice boltzmann method is a numerical method based on a probabilistic description of the particles movements. The unified lattice boltzmann model is extended to the quadtree grids for simulation of fluid flow through porous media. The fluid flow in porous media can be calculated in steadystate condition, for an incompressible, newtonian fluid in the limit of low reynolds number creeping flow using latticeboltzmann method d3q19 lattice.
However, this approach has been validated numerically only for a narrow range of the viscosity and the. Simulation of gas flow in micro porous media with the regularized lattice boltzmann method. A shale digital rock and a sandstone digital rock are reconstructed to study the effects of pressure, temperature and pore size on microscale gas flow. Multiplerelaxationtime lattice boltzmann model for convection heat transfer in porous media under local thermal nonequilibrium condition q. Latticeboltzmann method for macroscopic porous media. Latticeboltzmann simulation of twophase flow in porous. Fieldwide flow simulation in fractured porous media within lattice boltzmann framework. Pdf an extension to the basic latticebgk algorithm is presented for modeling a simulation region as a porous medium. The lattice boltzmann model simulations focused on the effects of the microscopic forces and water film thickness on the gas. A new coupled porescale lattice boltzmann method with. The lattice boltzmann method lbm, which originates from the latticegas automata method, has been successfully applied to model the flow in porous media in revscale 37. In this paper, a regularized multiplerelaxationtime mrt lattice boltzmann lb model is applied to analyze gas flow in 2. The lattice boltzmann method is equivalent to solving a hybrid method of the stokes and brinkman equations, with the brinkman equation being implemented to model flow through porous. The lattice boltzmann method which is a numerical technique with intrinsic parallelism, and straightforward resolution of complex solid boundaries and multiple fluid phases has gained popularity for its ability to provide results that can be equivalent to the solution of the navierstokes equations for singlefluid and multifluid flows through porous media chen and.
Study of gas flow characteristics in tight porous media. Latticeboltzmann method for macroscopic porous media modeling. A generalized lattice boltzmann model for flow through tight porous media with. A highperformance lattice boltzmann implementation to. Pan department of environmental sciences and engineering, university of north carolina, chapel hill, north carolina, usa. Freed, lattice boltzmann method for macroscopic porous media. Physical transport in a heterogeneous porous media and nonuniform distributions of chemical and biological species in the natural subsurface environment exert scaling behavior. Simulation of flow in multiscale porous media using the lattice boltzmann method on quadtree grids. Lattice boltzmann methods in porous media simulations. Lbm is based on microscopic models and mesoscopic kinetic equations. Lattice boltzmann methods lbm is a class of computational fluid dynamics cfd methods for fluid simulation. Simulation of gas flow in microporous media with the.
This module provides an introduction to the lattice boltzmann method, a powerful tool in computational fluid dynamics. The lattice boltzmann advantage for porous media lies in its ability to incorporate complex boundary conditions relative to continuum modeling approaches and an excellent ability to simulate interfaces between di erent uids. Extending a gray lattice boltzmann model for simulating fluid flow. Simulations are conducted for different macroscopic material properties such as sample thickness and porosity and the results are compared with the exact analytical solution for materials with slitlike structure in terms of acoustic impedance and. Dardis and mccloskey 1998a, 1998b proposed a method that can surmount this difficulty by parameterizing a porous medium in terms of its solid density n s x, or equivalently its porosity since n s 1 freed 1998 proposed a similar method and balasubramanian et al. In a traditional square sierpinski carpet, ns 3 and ng 1. Two approaches have been adopted in simulations of porous. Lattice boltzmann method for reacting flows in porous media article pdf available in advances in applied mathematics and mechanics 25. Lattice boltzmann models have a remarkable ability to simulate single and multiphase fluids and transport processes within them. A highperformance lattice boltzmann implementation to model ow in porous media chongxun pan, jan f. The method recovers flow through a resistance field with arbitrary values of the resistance tensor components. Prediction of flow characteristics in fibrous porous. Modeling a problem with 8x8 points requires 8x8x9576 variables the timedependent lattice boltzmann method is inefficient for solving steadystate problems, because its speed of convergence is dictated by acoustic propagation, which is very slow standard models only work with mach numbers up to 0.
304 92 464 937 1049 1373 266 889 730 1131 386 833 535 1482 1284 555 827 145 118 298 1239 178 559 46 1163 250 636 1479 1222 992 1242 1174 439 262 503 72 369 416 761 429