Simulating flows in multi-layered and spatially-variable permeability media via a new Gray Lattice Boltzmann model

Yehya, Alissar; Naji, Hassane; Sukop, Michael C.

doi:10.1016/j.compgeo.2015.07.017

Cited by 18 publications

(15 citation statements)

References 41 publications

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“…This modified velocity is in accordance with the requirements of the partial bounce-back approach [23]. Accordingly, the flow in the mushy zone will be treated as flow in a porous medium and, thus, will be governed by the Darcy law, as proven by the derived analytical solutions in [23].…”

Section: Macroscopic Quantitiesmentioning

confidence: 69%

“…In this case, the velocity field is partially bounced back and the macroscopic velocity is modified as in Equation (19) [22]. The procedure of the implementation of the partial bounce-back approach is described in [23]. Note that, to implement BCs in the current method, we are led to convert them, at the mesoscopic level, in terms of the distribution function.…”

Section: Thermal Lattice Boltzmann Equationsmentioning

confidence: 99%

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Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers

Yehya

Naji

2015

Applied Sciences

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This paper deals with the numerical simulation of heat transfer and entropy generation in a 2D square enclosure for convective melting. A thermal lattice Boltzmann method (TLBM) is used to handle the study, which has been conducted for Prandtl numbers from 0.02 to 70 at Rayleigh numbers of 10 4 and 10 5. The results are presented in terms of the total entropy generation, average Bejan number and average Nusselt number. Within the range considered for the key parameters, the entropy generation is found to be controlled by the heat transfer loss for low Prandtl numbers. However, for the large Prandtl numbers, its variation is dominated by shearing losses. Moreover, the presence of the latent heat state decreases the overall thermodynamic losses while increasing the quantity of heat transferred.

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Section: Macroscopic Quantitiesmentioning

confidence: 69%

Section: Thermal Lattice Boltzmann Equationsmentioning

confidence: 99%

Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers

Yehya

Naji

2015

Applied Sciences

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“…The influence of the crack roughness on fluid flow and solute transport by advection has been recently investigated in [39]. To simulate fluid flow in multiscale porous materials, the apparent resistance of fluid flow because of heterogeneities at smaller scales can be accounted for in terms of a force field [40] or by modifying the bounceback conditions [41][42][43]. This allows to model fluid flow in porous materials with embedded microcracks.…”

Section: Lattice Boltzmann Methodsmentioning

confidence: 99%

The intrinsic permeability of microcracks in porous solids: Analytical models and Lattice Boltzmann simulations

Timothy

Meschke

2017

Num Anal Meth Geomechanics

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The paper presents a synthesis of analytical modeling and computational simulations of the intrinsic permeability of microcracks, embedded in porous materials taking into account the interaction of the fluid flow in the microcrack with the surrounding porous material. In the first part of the paper, using the DARCY, STOKES, BRINKMAN, and the BEAVERS-JOSEPH approximations, we derive the intrinsic permeability of a plain non-rough microcrack in terms of the microcrack geometry and the permeability of the porous material surrounding the microcrack. In the second part of the paper, the intrinsic permeability of a microcrack is determined by means of computational simulations using the framework of the lattice Boltzmann method with partial bounceback conditions. The comparison of predictions from the analytical model and the numerical simulations show an excellent agreement.The aim of this paper is (i) to estimate using a combination of analytical models and computational simulations, the intrinsic permeability of a plain non-rough microcrack considering the influence of the porous material surrounding the microcrack and (ii) to show via computational simulations

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“…Recognition of the significance of the sub-resolution pore space has prompted a sizeable number of researchers in the last couple of years to investigate ways to take this pore space into account explicitly in Lattice-Boltzmann models of water movement in soils, following Gao and Sharma (1994) and Freed (1998) . The resulting “Gray” or “Partial-Bounce-Back” (PBB) Lattice-Boltzmann models consider that each voxel in the original, grayscale CT images has a given probability of penetration by water or solutes, and therefore a complementary probability that water or solute particles that penetrate the voxel eventually bounce back to their previous positions (e.g., Sukop and Thorne, 2006 ; Chen and Zhu, 2008 ; Han et al, 2008 ; Walsh et al, 2009 ; Jones and Feng, 2011 ; El Ganaoui et al, 2012 ; Gottardi et al, 2013 ; Walsh and Saar, 2013 ; Zalzale et al, 2013 ; Chen et al, 2014 ; Li et al, 2014 ; Yoshida and Hayashi, 2014 ; Ginzburg et al, 2015 ; Xie et al, 2015 ; Yehya et al, 2015 ; Apourvari and Arns, 2016 ; Bultreys et al, 2016 ; McDonald and Turner, 2016 ; Pereira, 2016 ; Zhang et al, 2016 ). In all this work, considerable advances have been made recently and a number of technical issues have been clarified ( Ginzburg, 2016 ), yet a major experimental hurdle related to the evaluation of the penetrability of sub-resolution pores, which at this point remains an arbitrary parameter in the models.…”

Section: Progress On the Physical Frontmentioning

confidence: 99%

Emergent Properties of Microbial Activity in Heterogeneous Soil Microenvironments: Different Research Approaches Are Slowly Converging, Yet Major Challenges Remain

et al. 2018

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Over the last 60 years, soil microbiologists have accumulated a wealth of experimental data showing that the bulk, macroscopic parameters (e.g., granulometry, pH, soil organic matter, and biomass contents) commonly used to characterize soils provide insufficient information to describe quantitatively the activity of soil microorganisms and some of its outcomes, like the emission of greenhouse gasses. Clearly, new, more appropriate macroscopic parameters are needed, which reflect better the spatial heterogeneity of soils at the microscale (i.e., the pore scale) that is commensurate with the habitat of many microorganisms. For a long time, spectroscopic and microscopic tools were lacking to quantify processes at that scale, but major technological advances over the last 15 years have made suitable equipment available to researchers. In this context, the objective of the present article is to review progress achieved to date in the significant research program that has ensued. This program can be rationalized as a sequence of steps, namely the quantification and modeling of the physical-, (bio)chemical-, and microbiological properties of soils, the integration of these different perspectives into a unified theory, its upscaling to the macroscopic scale, and, eventually, the development of new approaches to measure macroscopic soil characteristics. At this stage, significant progress has been achieved on the physical front, and to a lesser extent on the (bio)chemical one as well, both in terms of experiments and modeling. With regard to the microbial aspects, although a lot of work has been devoted to the modeling of bacterial and fungal activity in soils at the pore scale, the appropriateness of model assumptions cannot be readily assessed because of the scarcity of relevant experimental data. For significant progress to be made, it is crucial to make sure that research on the microbial components of soil systems does not keep lagging behind the work on the physical and (bio)chemical characteristics. Concerning the subsequent steps in the program, very little integration of the various disciplinary perspectives has occurred so far, and, as a result, researchers have not yet been able to tackle the scaling up to the macroscopic level. Many challenges, some of them daunting, remain on the path ahead. Fortunately, a number of these challenges may be resolved by brand new measuring equipment that will become commercially available in the very near future.

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Simulating flows in multi-layered and spatially-variable permeability media via a new Gray Lattice Boltzmann model

Cited by 18 publications

References 41 publications

Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers

Thermal Lattice Boltzmann Simulation of Entropy Generation within a Square Enclosure for Sensible and Latent Heat Transfers

The intrinsic permeability of microcracks in porous solids: Analytical models and Lattice Boltzmann simulations

Emergent Properties of Microbial Activity in Heterogeneous Soil Microenvironments: Different Research Approaches Are Slowly Converging, Yet Major Challenges Remain

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