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Title: | Space-time upscaling of reactive transport in porous media | Authors: | Suciu, Nicolae Radu, Florin A. POP, Sorin |
Issue Date: | 2023 | Publisher: | ELSEVIER SCI LTD | Source: | ADVANCES IN WATER RESOURCES, 176 (Art N° 104443) | Abstract: | Reactive transport in saturated/unsaturated porous media is numerically upscaled to the space-time scale of a hypothetical measurement through coarse-grained space-time (CGST) averages. The reactive transport is modeled at the fine-grained Darcy scale by the actual number of molecules involved in reactions which undergo advective and diffusive movements described by global random walk (GRW) simulations. The CGST averages verify identities similar to a local balance equation which allow us to derive expressions for the flow velocity and the intrinsic diffusion coefficient in terms of averaged microscopic quantities. The latter are further used to verify the CGST-GRW numerical approach. The upscaling approach is applied to biodegradation processes in saturated aquifers and variably saturated soils and the CGST averages are compared to classical volume averages. One finds that if the process is characterized by slow variations in time, as in homogeneous reaction systems, the differences between the two averages are negligible. Instead, the differences are significant and can be extremely large in simulations of time-dependent biodegradation processes in both variably saturated soils and saturated aquifers. | Notes: | Suciu, N (corresponding author), Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, Fantanele 57, Cluj Napoca 400320, Romania. suciu@math.fau.de |
Keywords: | Space-time upscaling;Global random walk;Reactive transport;Richards equation | Document URI: | http://hdl.handle.net/1942/40486 | ISSN: | 0309-1708 | e-ISSN: | 1872-9657 | DOI: | 10.1016/j.advwatres.2023.104443 | ISI #: | 001001259600001 | Rights: | 2023 Elsevier Ltd. All rights reserved. | Category: | A1 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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Space–time upscaling of reactive transport in porous media.pdf Restricted Access | Published version | 1.18 MB | Adobe PDF | View/Open Request a copy |
Suciu.pdf Until 2025-06-30 | Peer-reviewed author version | 1.2 MB | Adobe PDF | View/Open Request a copy |
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