An analysis of crystal dissolution fronts in flows through porous media. Part 1: Compatible boundary conditions

doi:10.1016/0309-1708(95)00005-4

Advances in Water Resources

Volume 18, Issue 3, 1995, Pages 171-185

https://doi.org/10.1016/0309-1708(95)00005-4 Get rights and content

Abstract

Proposed in this study is a model for transport of solutes in a porous medium participating in a dissolution/precipitation reaction, in general not in equilibrium. For an unbounded spatial domain, travelling wave solutions exist, if and only if the charge distribution is constant and the situation is a dissolution situation. The travelling wave in fact exhibits a sharp dissolution front. The wave is given in a nearly explicit manner. Also for the limit cases of equilibrium or no dispersion, travelling waves are established under the same conditions, but with different qualitative properties.

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Citation Excerpt :
In this sense, we mention the model proposed in Knabner et al. [1], in which the possibility of having an under- or oversaturated regime is expressed in rigorous mathematical terms. Various mathematical aspects for such models, like the existence and uniqueness of a (weak) solution, the rigorous derivation of the macro-scale model from a micro-scale one, the numerical approximation, or qualitative properties like traveling waves are studied in Knabner et al. [1], Moszkowicz et al. [2], Bouillard et al. [3], Kumar et al. [4], Agosti et al. [5], Kumar et al. [6], Hoffmann et al. [7]. The models discussed there do not take explicitly into account any evolution of the micro-scale geometry.
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^☆: This work was supported by EC project ‘Filtration and Nonlinear Diffusion Processes (Contract No. SC1-0018-C(TT)) and Institute for Applied Analysis and Stochastics.

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An analysis of crystal dissolution fronts in flows through porous media. Part 1: Compatible boundary conditions☆

Abstract

Comp. Chem. Engng

Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange

Transport in Porous Media

Travelling waves in the transport of reactive solutes through porous media: Adsorption and binary ion exchange

Transport in Porous Media

Travelling wave behaviour of crystal dissolution in porous media flow

Solute transport with multiple equilibrium — controlled or kinetically controlled chemical reactions

Water Resour. Res.

Solutions, Minerals and Equilibria