Properties of a diffuse interface model based on a porous medium theory for solid–liquid dissolution problems

Luo, Haishan; Quintard, Michel; Debenest, Gérald; Laouafa, Farid

doi:10.1007/s10596-012-9295-1

Cited by 57 publications

(102 citation statements)

References 49 publications

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“…In this study, the value of g is 9.81 The functional relationship between permeability k and porosity n is obtained by using the Blake-Kozeny formula [31][32], that is,…”

Section: Model Of Air Leakage Resistance Coefficient In Gobmentioning

confidence: 99%

Numerical Analysis of the Influence of Ventilation at Working Face on Air Leakage in Gob

Tang¹,

Guanlin²,

Qin³

et al. 2018

JESTR

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Air leakage is a key factor that leads to spontaneous combustion of residual coal in gob, and the ventilation at the working face is the direct reason for air leakage from the working face to the gob. A model of the resistance coefficient of air leakage was established based on "O"-type caving and compaction and nonlinear seepage theories to study the influence of ventilation at working face on air leakage from the working face to the gob. Computational fluid dynamics (CFD) software, Fluent, was used to simulate the flow field of the air leakage at the experimental working face with a high drainage roadway. The air volumes obtained by simulation were consistent with the field-measured data at the experimental working face. On the basis of the simulation, the influences of wind resistance and air volume at the working face on air leakage were studied. Results show that reducing the wind resistance at the working face plays a positive role in controlling the air leakage volume from the working face to the gob. When the wind resistance at the working face reduces by 50%, the air leakage volume reduces by 28%. Meanwhile, the effects of air volumes at the working face on air leakage volume are different. A critical value of air volume at the working face is determined (24.27m³/s). Only when the air volume at the working face is more than the critical value can the air leakage volume from the working face to the gob be effectively decreased by reducing the air volume at the working face. This study provides guidance for the prevention and control of air leakage in gob.

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“…In this study, the value of g is 9.81 The functional relationship between permeability k and porosity n is obtained by using the Blake-Kozeny formula [31][32], that is,…”

Section: Model Of Air Leakage Resistance Coefficient In Gobmentioning

confidence: 99%

Numerical Analysis of the Influence of Ventilation at Working Face on Air Leakage in Gob

Tang¹,

Guanlin²,

Qin³

et al. 2018

JESTR

View full text Add to dashboard Cite

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“…Dissolution occurs when the acid concentration is different from the equilibrium state. The mass transfer driven by the concentration difference is modeled using the non-equilibrium formulation represented in Fogler et al (1976), Golfier et al (2002), Luo et al (2012Luo et al ( , 2014Luo et al ( , 2015. As pointed out by Golfier et al (2002) this model is able to reproduce a wide range of dissolution behaviors from sharp fluid/porous medium interfaces to weathered zones involving a small local porosity gradient.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…The coefficient α i,0 translates information about the reaction rate at the grain scale to the cell (computational control volume) scale, and it depends on the reaction rate and molecular diffusivity [see discussion in Golfier et al (2002), Luo et al (2012), Guo et al (2014)]. …”

Section: Mathematical Modelmentioning

confidence: 99%

“…For such multiscale phenomena, it may be possible to introduce a cutoff length, so that flow in the large channels can be described by the Navier-Stokes equations, while the flow in the surrounding porous medium is modeled by Darcy's law (Golfier et al 2002;Luo et al 2012Luo et al , 2014Guo et al 2014;Luo et al 2015). Such hybrid modeling (Neale and Nader 1974;Golfier et al 2002) is achieved elegantly using the Darcy-Brinkman-Stokes (DBS) equation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Micro-continuum Approach for Pore-Scale Simulation of Subsurface Processes

2016

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The enormous growth in computational capabilities of recent years has made Navier-Stokes-based simulation of flow and transport in natural porous media possible. Because of the complex multiscale nature of porous media, however, full Navier-Stokes representation of the physics everywhere in the domain is not always feasible. Here, we employ, a filtering-or micro-continuum-approach to model the smallest length scales. The Darcy-Brinkman-Stokes (DBS) equation offers an appealing framework for this hybrid modeling. A general modeling framework based on the DBS equation is proposed. The approach is then used to bridge the gap between scales for several challenging problems, including flow in fractured media, pore-scale simulation with immersed boundary conditions, modeling of dissolution phenomena, and thermal evolution of oil shale.

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“…Li et al (2008) studied a similar problem using LS to track the fl uid-solid interfaces. In addition, Luo et al (2012) implemented a model using a diffuse interface method to track the fl uid-solid interface. Most recently, Huber et al (2014) combined LBM and PF method for dissolution-precipitation processes involving single or multiple species.…”

Section: Update Of Solid-pore Geometrymentioning

confidence: 99%