Modeling Mixing in Stratified Heterogeneous Media: The Role of Water Velocity Discretization in Phase Space Formulation

Soler-Sagarra, Joaquim; Carrera, Jesús; Bonet, Enrique; Roig, Carles; Becker, Pablo

doi:10.1007/s11242-022-01795-3

Cited by 3 publications

(2 citation statements)

References 72 publications

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“…The MRMT can also be expressed in a water mixing form (Soler-Sagarra et al, 2016). Variable α may identify velocity classes, so that q D represents transitions from one class to another, without necessarily implying mixing (Multi-advective WMA, MAWMA (Soler-Sagarra et al, 2021, 2022). Similar alternatives have been adopted by others (Berkowitz and Scher, 1998;Carrera et al, 1998).…”

Section: The Ade As a Water Mixing Equationmentioning

confidence: 99%

Water Mixing Approach (WMA) for reactive transport modeling

Soler-Sagarra

Saaltink

Nardí³

et al. 2022

Advances in Water Resources

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Section: The Ade As a Water Mixing Equationmentioning

confidence: 99%

Water Mixing Approach (WMA) for reactive transport modeling

Soler-Sagarra

Saaltink

Nardí³

et al. 2022

Advances in Water Resources

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“…Under non‐uniform flows, velocity gradients deform fluid elements through shear and compression. This deformation enhances chemical gradients and mixing‐induced reactions (Benson et al., 2017; Bolster et al., 2011; de Anna, Dentz, et al., 2014; de Anna et al., 2013; De Barros et al., 2012; Engdahl et al., 2014; Hochstetler & Kitanidis, 2013; Le Borgne et al., 2014, 2015; Lee & Kang, 2020; Soler‐Sagarra et al., 2023; Willingham et al., 2008; Ye et al., 2015). The effect of shear on enhanced reaction has been studied by Bandopadhyay et al.…”

Section: Introductionmentioning

confidence: 99%

Enhanced Mixing and Reaction in Converging Flows: Theory and Pore‐Scale Imaging

Izumoto

Heyman

Huisman

et al. 2023

Water Resources Research

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Mixing fronts at the interface of opposing flows are compressed at a constant rate. The resulting exponential stretching of fluid elements leads to enhanced chemical gradients and biogeochemical processes. This process is similar as what occurs in the pore space of 3D chaotic flows. However, it is so far not known how such fluid compression controls the amplitude of mixing and reaction rates in porous media. Here we derive analytical predictions for the mixing width, the maximum reaction rate and the reaction intensity in compressed mixing fronts as a function of the Péclet and Damköhler numbers. We developed an experimental setup providing pore scale measurements of mixing and reaction rates in mixing fronts at the interface of converging flows. The theory accurately predicts the scaling of mixing and reaction with the Péclet number both in porous micromodels and simple Hele‐Shaw cells. Additionally, we found that the presence of pore scale heterogeneities in the porous micromodels enhances reaction rates by a factor of 4 compared to the Hele‐Shaw cells. Using numerical simulations of pore scale velocity fields, we attributed this phenomenon to the enhancement of pore‐scale compression due to the presence of grains in accelerating flows. These findings provide new insights into the dynamics of mixing‐induced reactions in porous media.

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Editorial to the Special Issue: Mixing in Porous Media

2023

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Mixing in porous media is a key process for a wide range of natural and engineered systems in geological, biological and synthetic porous media. It is a multi-scale phenomenon with spatial scales ranging from micrometers (pores and capillaries) to kilometers (aquifers and reservoirs), and temporal scales that range from seconds to years. Mixing in porous media is an interdisciplinary subject with a diversity of scientific and engineering applications that include the understanding of karst formation, groundwater and soil remediation, underground hydrogen storage, geological radioactive waste storage, geothermal energy production, mining, oil and gas production, porous reactors and batteries, as well as drug delivery, and nutrient transport in biological tissue and capillaries.The quantitative understanding and prediction of mixing is complicated due to the presence of spatial heterogeneity inherent to natural and engineered porous media. Heterogeneity leads to transport, mixing and reaction behaviors that cannot be accounted for using the conventional upscaling paradigm based on constant hydrodynamic dispersion coefficients. In the past two decades, advances in the imaging of porous media structure and processes, and increased computational capabilities (Blunt et al. 2013) have facilitated new experimental, numerical and theoretical approaches (Rolle and Le Borgne 2019) to probe the mechanisms and controls of mixing, and cast them into predictive mathematical models. These developments were discussed at the Lorentz Center workshop on Mixing in Porous Media that was held in Leiden, The Netherlands, from 3 to 7 February 2020. There, the idea for this Special Issue originated with the aim to give an account of recent developments in the field of Mixing in Porous Media. This special issue consists of twenty-two contributions that cover different aspects of mixing in porous and fractured media at the pore and continuum scales, in single fractures and fracture networks.Two review papers report on concepts and approaches for mixing in porous media (Dentz et al. 2022) and the dynamical system approach to transport in porous media (Metcalfe et al. 2022). Nine articles focus on hydrodynamic flow, mixing and dispersion processes on the pore scale and their upscaling to the continuum scale. The papers by Sole-Mari et al. (2022) andOliveira et al. (2022) investigate mixing, reaction and dispersion in the pore space of highly resolved three-dimensional synthetic porous media. The direct numerical * Marco Dentz

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Modeling Mixing in Stratified Heterogeneous Media: The Role of Water Velocity Discretization in Phase Space Formulation

Cited by 3 publications

References 72 publications

Water Mixing Approach (WMA) for reactive transport modeling

Water Mixing Approach (WMA) for reactive transport modeling

Enhanced Mixing and Reaction in Converging Flows: Theory and Pore‐Scale Imaging

Editorial to the Special Issue: Mixing in Porous Media

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