Simulating anomalous dispersion in porous media using the unstructured lattice Boltzmann method

Misztal, Marek Krzysztof; Hernández-García, Anier; Matin, Rastin; Müter, Dirk; Jha, Diwaker; Sørensen, Henning Osholm; Mathiesen, Joachim

doi:10.3389/fphy.2015.00050

Cited by 11 publications

(8 citation statements)

References 32 publications

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“…The validity and grid convergence is This work establishes a promising venue for simulations of multiphase flows in non-trivial geometries such as real porous media, e.g., by invoking the boundary treatment developed in [18,25].…”

Section: Resultsmentioning

confidence: 93%

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

Matin¹,

Misztal²,

Hernández-García³

et al. 2017

Computers & Mathematics with Applications

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In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underly- forcing terms in the advection term, the current scheme applies collision and forcing terms locally for a simpler finite element formulation. A series of thorough benchmark studies reveal that this does not compromise stability and that the scheme is able to accurately simulate flows at large density and viscosity contrasts.

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Section: Resultsmentioning

confidence: 93%

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

Matin¹,

Misztal²,

Hernández-García³

et al. 2017

Computers & Mathematics with Applications

Self Cite

View full text Add to dashboard Cite

show abstract

“…Scientists have studied the morphology and dynamics of porous media flows and proposed a set of numerical schemes able to reproduce the observed macroscopic patterns [2,3,5,7,10,[45][46][47][48][49][50][51][52] and relevant pore-scale mechanisms [6,9,26,27,47,[53][54][55]. These studies have led to a deeper understanding of the pore-scale forces that are ultimately responsible for the macroscopic flow properties and finally to the possible upscaling of the results [6,8,48].…”

Section: Introductionmentioning

confidence: 99%

Intermittent Dynamics of Slow Drainage Experiments in Porous Media: Characterization Under Different Boundary Conditions

et al. 2020

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The intermittent dynamics of slow drainage flows in a porous medium is studied experimentally. This kind of two-phase flow is characterized by a rich burst activity and our setup allows us to characterize those bursts directly via images of the flow and pressure measurements. Two different boundary conditions were analyzed: controlled withdrawal rate (CWR) and controlled imposed pressure (CIP). We have characterized geometrical and statistical properties of the bursts from images and pressure measurements. We have shown that in spite of leading to similar final invasion patterns, some dynamical features of the invasion differ considerably between the CWR and CIP boundary conditions. In particular, their pressure signatures are very distinct, which then translates into very distinct features on the power spectrum density of the pressure signals. A fully integrable analytical framework is presented which successfully describes the scaling features of the power spectrum for the CIP case.

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“…Cushman and O'Malley (2015) stated that "…the occurrence of Fickian dispersion in geophysical settings is a rare event and consequently should be labeled as anomalous." Misztal et al (2015) simulated anomalous dispersion in porous media using the unstructured lattice Boltzmann method. Ruspini et al (2014) reported the results of experiments demonstrating two-phase flow instabilities.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological Model of Nonlinear Dynamics and Deterministic Chaotic Gas Migration in Bentonite: Experimental Evidence and Diagnostic Parameters

et al. 2022

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Understanding gas migration in compacted clay materials, e.g., bentonite and claystone, is important for the design and performance assessment of an engineered barrier system of a radioactive waste repository system, as well as many practical applications. Existing field and laboratory data on gas migration processes in low-permeability clay materials demonstrate the complexity of flow and transport processes, including various types of instabilities, caused by nonlinear dynamics of coupled processes of liquid–gas exchange, dilation, fracturing, fracture healing, etc., which cannot be described by classical models of fluid dynamics in porous media. We here show that the complexity of gas migration processes can be explained using a phenomenological concept of nonlinear dynamics and deterministic chaos theory. To do so, we analyzed gas pressure and gas influx (i.e., input) and outflux (i.e., output), recorded during the gas injection experiment in the compact Mx80-D bentonite sample, and calculated a set of the diagnostic parameters of nonlinear dynamics and chaos, such a global embedding dimension, a correlation dimension, an information dimension, and a spectrum of Lyapunov exponents, as well as plotted 2D and 3D pseudo-phase-space strange attractors, based on the univariate influx and outflux time series data. These results indicate the presence of phenomena of low-dimensional deterministic chaotic behavior of gas migration in bentonite. In particular, during the onset of gas influx in the bentonite core, before the breakthrough, the development of gas flow pathways is characterized by the process of chaotic gas diffusion. After the breakthrough, with inlet-to-outlet movement of gas, the prevailing process is chaotic advection. During the final phase of the experiment, with no influx to the sample, the relaxation pattern of gas outflux is resumed back to a process of chaotic diffusion. The types of data analysis and a proposed phenomenological model can be used to establish the basic principles of experimental data-gathering, modeling predictions, and a research design.

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Simulating anomalous dispersion in porous media using the unstructured lattice Boltzmann method

Cited by 11 publications

References 32 publications

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

Evaluation of the finite element lattice Boltzmann method for binary fluid flows

Intermittent Dynamics of Slow Drainage Experiments in Porous Media: Characterization Under Different Boundary Conditions

Phenomenological Model of Nonlinear Dynamics and Deterministic Chaotic Gas Migration in Bentonite: Experimental Evidence and Diagnostic Parameters

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