2020
DOI: 10.1029/2020wr028408
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Upscaling of Solute Plumes in Periodic Porous Media Through a Trajectory‐Based Spatial Markov Model

Abstract: We propose an approach to upscale solute transport in spatially periodic porous media. Our methodology relies on pore-scale information to predict large-scale transport features, including explicit reconstruction of the solute plume, breakthrough curves at fixed distances, and spatial spreading transverse to the main flow direction. The proposed approach is grounded on the recently proposed trajectory-based spatial Markov model (tSMM), which upscales transport based on information collected from advective-diff… Show more

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Cited by 2 publications
(1 citation statement)
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References 40 publications
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“…In this study, we applied Markov models in both an idealized and realistic open‐channel system, and found good agreement between predictions and measurements from experiments/simulations. Given recent extensions to complex two‐ and three‐dimensional systems in other settings such as transport through porous media, we speculate that it may be possible to extend the use of Markov models to other more complex flows, such as for example, coastal ones (Bianchi Janetti et al., 2020).…”
Section: Resultsmentioning
confidence: 99%
“…In this study, we applied Markov models in both an idealized and realistic open‐channel system, and found good agreement between predictions and measurements from experiments/simulations. Given recent extensions to complex two‐ and three‐dimensional systems in other settings such as transport through porous media, we speculate that it may be possible to extend the use of Markov models to other more complex flows, such as for example, coastal ones (Bianchi Janetti et al., 2020).…”
Section: Resultsmentioning
confidence: 99%