Interdiffusion with multiple precipitation/dissolution reactions: Transient model and the steady-state limit

Exact analytical solutions for a diffusion problem coupled with a precipitation‐dissolution reaction and feedback of porosity change

“…Typical examples are contaminant and radionuclide transport away from disposal sites, groundwater remediation (reactive barriers), ore body formation, and oil reservoir stimulation. Of special interest are the systems where precipitation and dissolution of minerals cause significant porosity changes [ Amos and Mayer , 2006; Cussler , 1982; Cussler et al , 1983; Gruber , 1990; Lichtner , 1991; Lichtner et al , 1986a, 1986b; Ortoleva et al , 1987a, 1987b; Steefel and Maher , 2009; Weare et al , 1976]. At the pore scale, the precipitation‐dissolution reactions modify the pore geometry and effective pore radii, causing a change in effective transport properties of the media [ MacQuarries and Mayer , 2005; Saripalli et al , 2001; Steefel and Maher , 2009].…”

“…The only analytical solutions of this class reported in the literature are applicable to simplified systems. Lichtner et al [1986a] have used exact results from the work of Helfferich and Katchalsky [1970] to compare the steady state limit of finite difference calculations describing the interdiffusion of two reacting species. Further, Lichtner et al [1986b] compared exact and numerical solutions to the moving boundary problem resulting from reversible heterogeneous reactions and aqueous diffusion in a porous medium.…”

Competitive hydration and dehydration at olivine–quartz boundary revealed by hydrothermal experiments: Implications for silica metasomatism at the crust–mantle boundary

“…Ogasawara et al (2013) considered that the diffusion of cations is rapid in experiments using mineral powders, and that both cation diffusion and/or surface reactions would contribute to the progress of metasomatic reactions. Based on hydrothermal experiments using sintered olivine aggregate, Malvoisin and Brunet (2014) reported that serpentinization of olivine is strongly controlled by the accessibility of H 2 O. Therefore, it is important to investigate experimentally the effects of initial porosity on the progress of metasomatic zones, in order to understand the mechanism of metasomatic processes in various natural settings.…”

Micro-Continuum Approaches for Modeling Pore-Scale Geochemical Processes

“…A special class of analytical models have been developed for the case of inter-diffusion of cations applied primarily to the problem of nuclear glass corrosion (Doremus 1975;Hellmann 1997). Lichtner et al (1986) presented perhaps the fi rst numerical reaction-diffusion model that could accommodate kinetic models for mineral (or glass) reaction (Lichtner et al 1986). The Chemical Geology,Vol.…”