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

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Scientific paper

A transient model based on a continuum description of diffusional mass transport coupled to multiple, reversible precipitation/dissolution reactions is applied to a description of water/rock interactions in a porous medium. The model permits calculation of positions and spatial distributions of minerals within any number of reaction zones as a function of distance and time. A unified description of internal precipitation and dissolution within reaction zones and reaction at zone boundaries is given. Included in the model is provision for moving reaction fronts across which occur jump discontinuities in the solute flux and volume fractions of the reacting phases. At steady-state the reaction fronts are stationary and the solute flux is continuous across each front. Partial differential equations representing conservation of mass are solved numerically using an implicit finite difference technique based on the weak formulation of the moving boundary problem. The model is applied to interdiffusion of a hypothetical two-component aqueous solution. The approach to steady-state and sensitivity of the spatial distribution of the reaction zones on the solute diffusion coefficients is investigated. Good agreement is obtained between the steady-state limit of the transient solution and a corresponding exact solution. Finally, results of the model are compared to a quasi-stationary approximation applied to a simplified example of hydrothermal alteration in the system MgCl 2 SiO 2 -H 2 O-HC1 at 390°C.

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