Accelerated computational micromechanics for solute transport in porous media

Karimi, Mina; Bhattacharya, Kaushik

doi:10.1016/j.cma.2024.116976

Computer Methods in Applied Mechanics and Engineering

2024

DOI: 10.1016/j.cma.2024.116976

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Accelerated computational micromechanics for solute transport in porous media

Mina Karimi,

Kaushik Bhattacharya

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2024

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Cited by 2 publications

References 36 publications

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A Learning‐Based Multiscale Model for Reactive Flow in Porous Media

Karimi,

Bhattacharya

2024

Water Resources Research

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We study solute‐laden flow through permeable geological formations with a focus on surface reactions that lead to changes in flow and formation. As the fluid flows through the permeable medium, it reacts with the medium, thereby changing the morphology and properties of the medium; this in turn, affects the flow conditions and chemistry. These phenomena occur at various lengths and time scales and make the problem extremely complex. Multiscale modeling addresses this complexity by dividing the problem into those at individual scales, and systematically passing information from one scale to another. However, accurate implementation of these multiscale methods is still prohibitively expensive. We present a methodology to overcome this challenge that is computationally efficient and quantitatively accurate. We introduce a surrogate for the solution operator of the lower scale problem in the form of a recurrent neural operator, train it using one‐time off‐line data generated by repeated solutions of the lower scale problem, and then use this surrogate in application‐scale calculations. The result is the accuracy of concurrent multiscale methods, at a cost comparable to those of classical models. We study various examples, and show the efficacy of this method in understanding the evolution of the morphology, properties and flow conditions over time in geological formations.

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A Learning‐Based Multiscale Model for Reactive Flow in Porous Media

Karimi,

Bhattacharya

2024

Water Resources Research

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A one-field fluid/meso-structure coupling approach for multiscale transport in heterogeneous porous media

Ou,

Xue,

Wan

et al. 2024

Physics of Fluids

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Modeling transport phenomena within heterogeneous porous media poses considerable challenges, particularly on account of the complexity of the involved geometries combined with nonlinear transport interactions. In the present study, a novel one-field modeling approach for multiscale fluid–solid interactions is proposed that does not need any a priori information on permeability. This approach implicitly considers the existence of multiscale structures through a penalization function that encompasses merely one single effective parameter. The definition, determination, as well as the response of the effective parameter to influencing factors are elaborated in detail. It is demonstrated that this approach is effective in representing properly the heterogeneity of solids. The method has been successfully applied to both nonlinear porous media flows and Darcian transport problems, exhibiting comparable accuracy but substantial computational savings as opposed to pore-scale simulations. It leads to more accurate interphase mass transfer predictions and lower computational cost in comparison with the Darcy–Brinkmann–Stokes approach. Overall, this method appears to be highly effective in forecasting realistic, industrial-scale porous media transport problems.

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Accelerated computational micromechanics for solute transport in porous media

Cited by 2 publications

References 36 publications

A Learning‐Based Multiscale Model for Reactive Flow in Porous Media

A Learning‐Based Multiscale Model for Reactive Flow in Porous Media

A one-field fluid/meso-structure coupling approach for multiscale transport in heterogeneous porous media

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