A model for non-isothermal flow and mineral precipitation and dissolution in a thin strip

Bringedal, Carina; Berre, Inga; Pop, Sorin; Radu, Florin A.

doi:10.1016/j.cam.2014.12.009

Cited by 23 publications

(36 citation statements)

References 15 publications

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“…Due to the elliptic grain shape, the medium is not blocked in the y 1 -direction but forms channels. For channels, it is shown earlier (Bringedal et al 2015) that the non-dimensional permeability should behave as K = d 3 /12 where d is the aperture. If we use the minimum distance between two adjacent grains as a measure of the aperture in the y 1 -direction of the channellike medium, the cubic relationship estimates a (non-dimensional) permeability of K = 0.0105 and K = 0.0352 for when the ratio between the semi-major and semiminor axis are 2 and 4, respectively.…”

Section: Elliptic Grainsmentioning

confidence: 96%

“…The present work builds on the pore scale model for coupled heat transport and reactive transport in a thin strip first formulated by Bringedal et al (2015). Later this model was formulated for a periodic porous medium and upscaled to Darcy scale by Bringedal et al (2016).…”

Section: Clogging In Effective Non-isothermal Reactive Porous Media Fmentioning

confidence: 99%

“…A ratio of 4 means that the grain is more elongated. The red stars in the right plot indicates the estimated permeability values based on an upscaled thin strip model (Bringedal et al 2015).…”

Section: Elliptic Grainsmentioning

confidence: 99%

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Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Bringedal

Kumar

2017

Transp Porous Med

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For a non-isothermal reactive flow process, effective properties such as permeability and heat conductivity change as the underlying pore structure evolves. We investigate changes of the effective properties for a two-dimensional periodic porous medium as the grain geometry changes. We consider specific grain shapes and study the evolution by solving the cell problems numerically for an upscaled model derived in Bringedal et al (2016). In particular, we focus on the limit behavior near clogging. The effective heat conductivities are compared to common porosity-weighted volume averaging approximations and we find that geometric averages perform better than arithmetic and harmonic for isotropic media, while the optimal choice for anisotropic media depends on the degree and direction of the anisotropy. An approximate analytical expression is found to perform well for the isotropic effective heat conductivity. The permeability is compared to some commonly used approaches focusing on the limiting behavior near clogging, where a fitted power law is found to behave reasonably well. The resulting macroscale equations are tested on a case where the geochemical reactions cause pore clogging and a corresponding change in the flow and transport behavior at Darcy scale. As pores clog the flow paths shift away, while heat conduction increases in regions with lower porosity.

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Section: Elliptic Grainsmentioning

confidence: 96%

Section: Clogging In Effective Non-isothermal Reactive Porous Media Fmentioning

confidence: 99%

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Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Bringedal

Kumar

2017

Transp Porous Med

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“…The result is a Stefan-type model (Voller, Swenson & Paola 2004;van Noorden & Pop 2007;Bringedal et al 2015) that is able to capture the complex geometry of the ice domain. This is an alternative to the approach where space-averaged mushy layers are adopted for the small-scale mixture of ice and brine (Worster 1992(Worster , 1997Petrich, Langhorne & Sun 2004;Hunke et al 2011).…”

Section: The Mathematical Modelmentioning

confidence: 99%

Fractal structures in freezing brine

et al. 2017

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The process of initial ice formation in brine is a highly complex problem. In this paper, we propose a mathematical model that captures the dynamics of nucleation and development of ice inclusions in brine. The primary emphasis is on the interaction between ice growth and salt diffusion, subject to external forcing provided by temperature. Within this setting two freezing regimes are identified, depending on the rate of change of the temperature: a slow freezing regime where a continuous ice domain is formed; and a fast freezing regime where recurrent nucleation appears within the fluid domain. The second regime is of primary interest, as it leads to fractal-like ice structures. We analyse the critical threshold between the slow and fast regimes by identifying the explicit rates of external temperature control that lead to self-similar salt-concentration profiles in the fluid domains. Subsequent heuristic analysis provides estimates of the characteristic length scales of the fluid domains depending on the time-variation of the temperature. The analysis is confirmed by numerical simulations.

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“…Note that the above relation is an averaged approach compared to the upscaling approaches by Bringedal et al (2015), Noorden (2009) and van Noorden et al (2010).…”

Section: Model Equations Initial and Boundary Conditions For The Casmentioning

confidence: 99%

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

et al. 2016

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Biogrout is a method to strengthen granular soil, which is based on microbialinduced carbonate precipitation. To model the Biogrout process, a reactive transport model is used. Since high flow rates are undesirable for the Biogrout process, the model equations can be solved with a standard Galerkin finite element method. The Biogrout process involves the injection of dense fluids in the subsurface. In this paper, we present our reactive transport model for Biogrout and use it to simulate an experiment in which a pulse of a dense fluid is injected in a porous medium filled with water. In this experiment, front instabilities were observed in the form of fingers. The numerical simulations showed that the fingering phenomenon was less pronounced than in the experiment. By reducing the dispersion length and implementing a randomly distributed permeability field, the fingering phenomenon could be induced. Furthermore, the results of a case study to a Biogrout application are reported.

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A model for non-isothermal flow and mineral precipitation and dissolution in a thin strip

Cited by 23 publications

References 15 publications

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Effective Behavior Near Clogging in Upscaled Equations for Non-isothermal Reactive Porous Media Flow

Fractal structures in freezing brine

Simulation of Front Instabilities in Density-Driven Flow, Using a Reactive Transport Model for Biogrout Combined with a Randomly Distributed Permeability Field

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