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• W2151248595 abstract "We consider transport of a solute that undergoes a nonlinear heterogeneous reaction: after reaching a threshold concentration value, it precipitates on the solid matrix to form a crystalline solid. The relative importance of three key pore-scale transport mechanisms (advection, molecular diffusion, and reaction) is quantified by the Péclet (Pe) and Damköhler (Da) numbers. We use multiple-scale expansions to upscale a pore-scale advection–diffusion equation with reactions entering through a boundary condition on the fluid–solid interface, and to establish sufficient conditions under which macroscopic advection–dispersion-reaction equations provide an accurate description of the pore-scale processes. These conditions are summarized by a phase diagram in the (Pe, Da)-space, parameterized with a scale-separation parameter that is defined as the ratio of characteristic lengths associated with the pore- and macro-scales." @default.
• W2151248595 created "2016-06-24" @default.
• W2151248595 creator A5033064622 @default.
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• W2151248595 date "2011-03-01" @default.
• W2151248595 modified "2023-10-10" @default.
• W2151248595 title "Applicability regimes for macroscopic models of reactive transport in porous media" @default.
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• W2151248595 doi "https://doi.org/10.1016/j.jconhyd.2010.05.005" @default.
• W2151248595 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/20598771" @default.
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