Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo‐Torres, S. A.; Scheuermann, Alexander; Li, L.

doi:10.1103/physreve.86.046306

Cited by 45 publications

(25 citation statements)

References 17 publications

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“…The asymmetry of this method (d = 0.092) is of the same order as with the other configurations P F W , P F S and P s . Note that, higher values of asymmetry can be found in the literature (Galindo-Torres et al 2012). Then, the effective medium approach is tested and Fig.…”

Section: Anisotropic Mediummentioning

confidence: 88%

A Comparison of Various Methods for the Numerical Evaluation of Porous Media Permeability Tensors from Pore-Scale Geometry

et al. 2015

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In this work, several boundary value problems used to numerically evaluate the absolute permeability tensors of porous media using core-scale images are compared and discussed. The various configurations differ by the type of boundary conditions used to compute the flow at the micro-scale. The issue is the ability of the method to capture anisotropy correctly and to avoid possible percolation artifacts. This study is carried on two-dimensional synthetic, isotropic or anisotropic, porous media that are chosen to illustrate the various difficulties mentioned above. A new method is proposed which consists in embedding the porous medium in question in a homogenized one. Using an iterative optimization procedure on the surrounding permeability, the method determines the absolute permeability tensor of the original medium. The equivalent permeability tensor that minimizes the effect on the surrounding porous medium is, unlike that of classical methods, de facto symmetrical due to the use of periodic boundary conditions and exhibits significantly lower permeabilities. The way in which non-diagonal terms of the permeability tensor are obtained with the various methods is thoroughly discussed.

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Section: Anisotropic Mediummentioning

confidence: 88%

A Comparison of Various Methods for the Numerical Evaluation of Porous Media Permeability Tensors from Pore-Scale Geometry

et al. 2015

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“…In this study, a three-dimensional D3Q15 lattice model was used for the simulation of water phase flow through a single self-affine rough fracture [58,59]. The space of the D3Q15 model is divided into a cubic domain that has fifteen discrete velocities in Figure 1 [59].…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

“…The bounce-back boundary condition [57,58,61,62] is used here because the fluid is assumed to be reflected by the solid boundaries. In the bounce-back condition, after the collision step, the distribution functions are swapped symmetrically as follows:…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

Laboratory Investigation of Flow Paths in 3D Self-Affine Fractures with Lattice Boltzmann Simulations

Cherubini

Galindo‐Torres

et al. 2018

Energies

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Abstract:In this study, laboratory experiments and simulations have been conducted to investigate single water phase flow through self-affine rough fractures. It is the first time that 3D printing technology is proposed for the application of generating self-affine rough fractures. The experimental setup was designed to measure the water volume by dividing the discharging surface into five sections with equal distances under constant injection flow rates. Water flow through self-affine rough fractures was simulated numerically by using the Lattice Boltzmann method (LBM). An agreement between the experimental data and the numerical simulation results was achieved. The fractal dimension is positively correlated to fracture surface roughness and the fracture inclination represents the gravity force acting on the water flow. The influences of fracture inclinations, fractal dimensions, and mismatch wavelengths were studied and analyzed, with an emphasis on flow paths through a self-affine rough fracture. Different values of fractal dimensions, fracture inclinations, and mismatch wavelengths result in small changes of flow rates from five sections of discharging surface. However, the section of discharging surface with the largest flow rate remains constant. In addition, it is found that the gravity force can affect flow paths. Combined with the experimental data, the simulation results are used to explain the preferential flow paths through fracture rough surfaces from a new perspective. The results may enhance our understanding of fluid flow through fractures and provide a solid background for further research in the areas of energy exploration and production.

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“…The Lattice Boltzmann Equation (LBE) is employed to solve the fluid flow problem [34,35] using the D2Q9 model with the space divided into foursquare lattices. The velocity domain is discretized into 9 velocity vectors as shown in Fig.…”

Section: Lattice Boltzmann Methods For Fluidmentioning

confidence: 99%

An efficient Discrete Element Lattice Boltzmann model for simulation of particle-fluid, particle-particle interactions

et al. 2017

Self Cite

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In this study, an efficient Discrete Element Lattice Boltzmann Model (DE-LBM) is introduced to simulate mechanical behaviours of multiphase systems involving particle-fluid and particle-particle interactions. The LBM is based on the Multiple Relaxation Time (MRT-LBM) formalism for the fluid phase and the Discrete Element Method for particle motions. A novel algorithm is developed for detecting the particle contact base on particle overlapping areas computed directly from the grid-based LBM data. This contact algorithm achieves the same accuracy in determining the particle contact as provided by the Hertz contact model but is far more efficient computationally. The DE-LBM coupling approach is also modified to unify the different schemes developed previously. A modified Verlet List method for updating the solid occupation fraction is proposed to further speed up the simulation. The new model is validated by a series of simulations including the single particle settling and well-known 'Drafting, Kissing and Tumbling' (DKT) phenomenon found in suspensions. The settling of a large number (2500) of particles in a still fluid is also simulated with predicted concentration profiles matching well the analytic solution. These applications demonstrate the potential of the present DE-LBM model as a powerful numerical tool for simulating multiphase particulate systems encountered in many engineering and science * Corresponding author

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Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Cited by 45 publications

References 17 publications

A Comparison of Various Methods for the Numerical Evaluation of Porous Media Permeability Tensors from Pore-Scale Geometry

A Comparison of Various Methods for the Numerical Evaluation of Porous Media Permeability Tensors from Pore-Scale Geometry

Laboratory Investigation of Flow Paths in 3D Self-Affine Fractures with Lattice Boltzmann Simulations

An efficient Discrete Element Lattice Boltzmann model for simulation of particle-fluid, particle-particle interactions

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