An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions

Knabner P, Van Duijn CJ, Schotting RJ (1998)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1998

Journal

Publisher: Elsevier

City/Town: Exeter, United Kingdom

Book Volume: 22

Pages Range: 1-16

Journal Issue: 1

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_1998/1998_DuijnKnSchotting_AnalysCrystDissolFroInFlowThrPMPart2IncompBoundCondi.pdf

DOI: 10.1016/S0309-1708(97)00038-9

Abstract

A model for transport of solutes in a porous medium participating in a dissolution-precipitation reaction, in general not in equilibrium, is studied. Ignoring diffusion-dispersion the initial value problem for piecewise constant initial states is studied, which e.g. for ionic species include a change of the ionic composition of the solution. The mathematical solution, nearly explicitly found by the method of characteristics up to the (numerical) solution of an integral equation for the position of the dissolution front, exhibits a generalized expanding plateau-structure determined by the dissolution front and the water flow (or salinity) front.

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APA:

Knabner, P., Van Duijn, C.J., & Schotting, R.J. (1998). An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions. Advances in Water Resources, 22(1), 1-16. https://dx.doi.org/10.1016/S0309-1708(97)00038-9

MLA:

Knabner, Peter, C. J. (Hans) Van Duijn, and Ruud J. Schotting. "An analysis of crystal dissolution fronts in flows through porous media part 2: incompatible boundary conditions." Advances in Water Resources 22.1 (1998): 1-16.

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