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Hybrid modeling of heterogeneous geochemical reactions in fractured porous media
Author(s) -
Roubinet Delphine,
Tartakovsky Daniel M.
Publication year - 2013
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1002/2013wr013999
Subject(s) - porous medium , scale (ratio) , geology , porosity , permeability (electromagnetism) , cementation (geology) , domain (mathematical analysis) , geotechnical engineering , mechanics , materials science , chemistry , physics , mathematics , composite material , mathematical analysis , biochemistry , quantum mechanics , membrane , cement
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.