Journal
WATER RESOURCES RESEARCH
Volume 49, Issue 12, Pages 7945-7956Publisher
AMER GEOPHYSICAL UNION
DOI: 10.1002/2013WR013999
Keywords
hybrid models; multiprocess multiscale modeling; fractured and porous media; geochemical reactions; cementation; pore-scale; continuum-scale modeling
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Funding
- National Science Foundation [EAR-1246315]
- Computational Mathematics Program of the Air Force Office of Scientific Research
- Division Of Earth Sciences
- Directorate For Geosciences [1246315] Funding Source: National Science Foundation
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Quantitative modeling of geochemical reactions at the Darcy scale is challenging due to their dependence on pore-scale characteristics that often cannot be averaged out. We propose a hybrid pore-scale/continuum-scale algorithm to bridge the gap between the pore-scale mechanisms of reactive transport and the Darcy-scale observations of their impact. These two scales are coupled by introducing extra nodes at the pore/continuum interfaces, in which the continuity of both concentrations and mass fluxes is enforced. Our algorithm is applicable to highly localized transport phenomena that can be adequately described by Darcy-scale equations in most of a computational domain except for small regions (e.g., reaction fronts) wherein pore-scale simulations are necessary. We employ the proposed hybrid algorithm to model transient reactive solute transport involving fracture cementation.
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