Journal ArticleDOI
Dynamic permeability of porous media by the lattice Boltzmann method
A. Pazdniakou,Pierre M. Adler +1 more
TLDR
In this paper, the lattice Boltzmann method is applied to calculate the dynamic permeability K(omega) of porous media; an oscillating macroscopic pressure gradient is imposed in order to generate oscillating flows.About:
This article is published in Advances in Water Resources.The article was published on 2013-12-01. It has received 41 citations till now. The article focuses on the topics: Lattice Boltzmann methods & Knudsen number.read more
Citations
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Journal ArticleDOI
Computational Permeability Determination from Pore-Scale Imaging: Sample Size, Mesh and Method Sensitivities
Romain Guibert,Romain Guibert,Marfa Nazarova,Pierre Horgue,Pierre Horgue,Gérald Hamon,Patrice Creux,Gérald Debenest,Gérald Debenest +8 more
TL;DR: It is observed that the level of mesh refinement has a non-negligible impact on permeability tensor, and increasing the refinement level tends to reduce the gap between the methods of computational measurements.
Journal ArticleDOI
Hybrid pore-network and lattice-Boltzmann permeability modelling accelerated by machine learning
Arash Rabbani,Masoud Babaei +1 more
TL;DR: A permeability calculation workflow is presented that couples pore network modeling (PNM) with a Lattice Boltzmann Method (LBM) to benefit from the strengths of both approaches and provides an accurate estimation of permeability with a considerable reduction in the computational CPU time.
Journal ArticleDOI
Fractal model and Lattice Boltzmann Method for Characterization of Non-Darcy Flow in Rough Fractures.
TL;DR: This work develops a series of fracture models with various degrees of roughness characterized by fractal dimensions that are based on the Weierstrass–Mandelbrot fractal function and indicates that the LBM effectively characterizes the unsteady non-Darcy flow in single rough fractures.
Journal ArticleDOI
Detailed analysis of the lattice Boltzmann method on unstructured grids
Marek Krzysztof Misztal,Anier Hernandez-Garcia,Rastin Matin,Henning Osholm Sørensen,Joachim Mathiesen +4 more
TL;DR: In this paper, two implementations of the lattice Boltzmann method on unstructured grids, the standard forward Euler method and the operator splitting method, are analyzed and the evolution of the macroscopic variables by means of the Chapman-Enskog expansion.
Posted Content
Detailed analysis of the lattice Boltzmann method on unstructured grids
Marek Krzysztof Misztal,Anier Hernandez-Garcia,Rastin Matin,Henning Osholm Sørensen,Joachim Mathiesen +4 more
TL;DR: This paper analyzes two implementations of the lattice Boltzmann method on unstructured grids, the standard forward Euler method and the operator splitting method, and derives the evolution of the macroscopic variables by means of the Chapman-Enskog expansion.
References
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Journal ArticleDOI
Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.
Journal ArticleDOI
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
TL;DR: In this paper, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Small amplitude processes in charged and neutral one-component systems
TL;DR: In this article, a kinetic theory approach to collision processes in ionized and neutral gases is presented, which is adequate for the unified treatment of the dynamic properties of gases over a continuous range of pressures from the Knudsen limit to the high pressure limit where the aerodynamic equations are valid.
Journal ArticleDOI
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
TL;DR: In this paper, the theory of propagation of stress waves in a porous elastic solid developed in Part I for the low-frequency range is extended to higher frequencies, and the breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes.
Book
Non-Homogeneous Media and Vibration Theory
TL;DR: In this article, a spectral perturbation of spectral families and applications to self-adjoint eigenvalue problems are discussed, as well as the Trotter-Kato theorem and related topics.