2011
DOI: 10.1016/j.jhydrol.2011.02.029
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Modeling the effectiveness of U(VI) biomineralization in dual-porosity porous media

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Cited by 5 publications
(3 citation statements)
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“…Both mobile and immobile domains have uranium sorption sites. The dual-domain representation in PHREEQC has been used previously for reactive transport. , The code solves the mass conservation eqs and ) integrating flow, transport, and geochemical reactions. , A representative equation for species i is as follows where the subscripts m and im represent mobile and immobile domains; θ is porosity; C i and M i are the aqueous and adsorbed concentration (mol/m 3 ), respectively, with the latter calculated by normalizing sorbed mass by the mobile and immobile pore volumes; D L is the hydrodynamic dispersion (m 2 /s); u is the flow velocity (m/s); R i is the total rate of kinetically controlled reactions that species i is involved in (mol/m 3 /s); N is the total number of aqueous species. The first-order mass transfer coefficient (α, s –1 ) relates to specific geometries of the immobile zones reflecting spatial heterogeneity with the following relation where D e is the effective diffusion coefficient in porous media (m 2 /s), r is the radius of the assumed sphere shape for the immobile zones (m), and f s→1 is a shape factor for sphere-to-first-order-model conversion.…”
Section: Methodsmentioning
confidence: 99%
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“…Both mobile and immobile domains have uranium sorption sites. The dual-domain representation in PHREEQC has been used previously for reactive transport. , The code solves the mass conservation eqs and ) integrating flow, transport, and geochemical reactions. , A representative equation for species i is as follows where the subscripts m and im represent mobile and immobile domains; θ is porosity; C i and M i are the aqueous and adsorbed concentration (mol/m 3 ), respectively, with the latter calculated by normalizing sorbed mass by the mobile and immobile pore volumes; D L is the hydrodynamic dispersion (m 2 /s); u is the flow velocity (m/s); R i is the total rate of kinetically controlled reactions that species i is involved in (mol/m 3 /s); N is the total number of aqueous species. The first-order mass transfer coefficient (α, s –1 ) relates to specific geometries of the immobile zones reflecting spatial heterogeneity with the following relation where D e is the effective diffusion coefficient in porous media (m 2 /s), r is the radius of the assumed sphere shape for the immobile zones (m), and f s→1 is a shape factor for sphere-to-first-order-model conversion.…”
Section: Methodsmentioning
confidence: 99%
“…The dual-domain representation in PHREEQC has been used previously for reactive transport. 35,36 The code solves the mass conservation eqs 1 and 2) integrating flow, transport, and geochemical reactions. 34,37 A representative equation for species i is as follows Figure 1.…”
Section: ■ Methodsmentioning
confidence: 99%
“…Note that the model does not include diffusive processes in the flowing water. This could be included (e.g., Ma and Selim (1996); Bajracharya and Barry (1997); Rotter et al (2011)), but at the cost of an additional parameter. Note that the model does yield diffusive-like behaviour.…”
Section: Methodsmentioning
confidence: 99%