Explaining persistent incomplete mixing in multicomponent reactive transport with Eulerian stochastic model

Tartakovsky, Alexandre M.; Barajas-Solano, David A.

doi:10.1016/j.advwatres.2020.103729

Cited by 2 publications

(1 citation statement)

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“…This opens a way of including the spatial heterogeneity of Lagrangian statistics in real heterogeneous systems. Tartakovsky and Barajas-Solano (2020) proposed an Eulerian stochastic advection diffusion reaction macroscopic model, in which mechanical and diffusive mixing are conceptually considered as two separate mechanisms, the latter being only responsible for the mixing-controlled reaction. This resulted in an effective dispersion coefficient that is the sum of mechanical dispersion and effective diffusion coefficients.…”

Section: Recent Progress In Upscaling Transport Phenomena In Porous Mediamentioning

confidence: 99%

Editorial: Recent developments in upscaling and characterization of flow and transport in porous media

Lasseux

Valdés‐Parada

Wood

2021

Advances in Water Resources

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Le et al. (2020) studied the flow and transport problem of CO 2 -enhanced coalbed methane recovery also by means of the homogenization technique. They considered a multiscale model that incorporated two levels of porosity that correspond to nanopores and the cleat network. This work includes a set of numerical simulations showing that the cleat permeability decreases significantly near the injection well because of the high injection pressure. In addition, Sharmin et al. (2020) considered two-phase (or unsaturated) incompressible flow in a thin, but long, single pore (a thin strip) with a stratified distribution of the two phases and derived an effective model starting from the Navier-Stokes equations. The upscaled model was obtained using the asymptotic homogenization method. It encompasses different regimes associated to the values of the capillary number and viscosity ratio. It also accounts for surface tension variations (Marangoni effects) which may result from the transport of a solute in one of the two phases. The upscaled model was compared to direct numerical simulations of the 2D pore-scale model. Finally, Airiau and Bottaro (2020) used the adjoint homogenization method to shed new light on the derivation of upscaled models for steady and creeping flow of a shear-thinning fluid in homogeneous porous media. These authors derived a Darcy-like model, where the components of the effective permeability tensor were obtained from the solution of an associated boundary-value problem in a periodic unit cell. Due to the dependence of the viscosity on the pore-scale flow, a coupled solution approach was used that translated into a strong anisotropy of the permeability tensor, even in isotropic geometries.Not all the works corresponding to this research topic used the homogenization method to carry out their analysis. For example, Cotta et al. (2020) studied flow and transport in fractured porous media using the generalized integral transform technique to derive analytical and numerical-analytical solutions. A salient feature of this work is the treatment of multiporosity cases, by means of a single integral transformation process. This approach is illustrated with two examples in fractured media and unsaturated soils. In addition, Angot et al. ( 2020) used an asymptotic analysis to study single-phase inertial flow in the fluidporous boundary. They show that the total inertial work exerted by the fluid over the solid is always positive. Non-equilibrium modeling for transport in homogeneous and heterogeneous porous mediaThis research subject comprises stochastic modeling and upscaling of transport processes. Engdahl and Bolster (2020) proposed to use a

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Section: Recent Progress In Upscaling Transport Phenomena In Porous Mediamentioning

confidence: 99%