Accéder directement au contenu Accéder directement à la navigation
Pré-publication, Document de travail

Analysis and numerical computation of geochemical systems with kinetic precipitation and dissolution reactions involving several minerals

Bastien Hamlat 1, 2 Jocelyne Erhel 1 Anthony Michel 2 Thibault Faney 2
1 FLUMINANCE - Fluid Flow Analysis, Description and Control from Image Sequences
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique , INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Abstract : In this paper, we study underground media where chemical interactions involve aqueous and mineral species. In most kinetic models, a mineral species is involved in a single precipitation or dissolution reaction. In this work, we consider more general precipitation and dissolution kinetic reactions, which can include several minerals, which can each participate in several reactions. We propose a differential inclusion model, with reaction rates defined by set-valued functions, in order to ensure positive quantities of species. We also develop a regularized model, with reaction rates defined by regularized Heaviside functions and blendings if several minerals dissolve in the same reaction. We prove that the unique solution of this system of ODEs converges towards a solution of the differential inclusion model. We run numerical experiments by using a classical ODEs solver for computing the regularized solution. We get good numerical approximations of the quantities of species and the discontinuous reaction rates.
Liste complète des métadonnées

https://hal.inria.fr/hal-03157970
Contributeur : Jocelyne Erhel <>
Soumis le : mercredi 3 mars 2021 - 15:35:23
Dernière modification le : vendredi 5 mars 2021 - 03:10:35

Fichier

kineticmineral.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-03157970, version 1

Citation

Bastien Hamlat, Jocelyne Erhel, Anthony Michel, Thibault Faney. Analysis and numerical computation of geochemical systems with kinetic precipitation and dissolution reactions involving several minerals. 2021. ⟨hal-03157970⟩

Partager

Métriques

Consultations de la notice

98

Téléchargements de fichiers

115