000014862 001__ 14862 000014862 005__ 20161115100204.0 000014862 04107 $$aeng 000014862 046__ $$k2016-08-21 000014862 100__ $$aLaouafa, Farid 000014862 24500 $$aModeling of salt and gypsum dissolution processes 000014862 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000014862 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000014862 506__ $$arestricted 000014862 520__ $$2eng$$aExtraction of salt by leaching process is used intensively nowadays. In this analysis about cavity dissolution modeling, we ... Salt dissolution is controlled by thermodynamic equilibrium at the interface, i.e., equality of the chemical potentials. In this paper, a local nonequilibrium Diffuse Interface Model and an explicit treatment of the brine-salt interface are introduced in order to solve such dissolution problems. Equations are obtained by upscaling micro-scale equations for a solid-liquid dissolution problem using a volume averaging theory. Based on this mathematical formulation, dissolution test cases are presented. We introduce and discuss the main features of the method. Illustrations of the interaction between natural convection and forced convection in dissolution problems are presented and the time and space evolution of the rock salt-fluid interface is shown through several examples. 000014862 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000014862 653__ $$a 000014862 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000014862 720__ $$aLaouafa, Farid 000014862 8560_ $$ffischerc@itam.cas.cz 000014862 8564_ $$s174929$$uhttps://invenio.itam.cas.cz/record/14862/files/TS.FS05-2.05.pdf$$yOriginal version of the author's contribution as presented on CD, page 3196, code TS.FS05-2.05 . 000014862 962__ $$r13812 000014862 980__ $$aPAPER