Mathematical theory of two-phase geochemical flow with chemical species

W. J. Lambert*, A. C. Alvarez, D. Marchesin, J. Bruining

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

In this work, we introduce a formalism for two-phase geochemical flow. Here, we admit that the chemical species flow in both phases. Moreover, we consider chemical interaction and chemical equilibrium laws for which it is possible to obtain algebraic relationships between the chemical species. In this work, we consider that we have only one free chemical species, i.e., by using equilibrium laws, we admit that all chemical species can be written as function of only one, which we denote as y. We present a formalism for this kind of flow, moreover, we obtain the eigenvalues, eigenvectors, and bifurcations structures. We also show the structure of integral and Hugoniot curves in the saturation versus chemical species plane.

Original languageEnglish
Title of host publicationTheory, Numerics and Applications of Hyperbolic Problems II
Subtitle of host publicationAachen, Germany, August 2016
EditorsChristian Klingenberg, Michael Westdickenberg
Pages255-267
Volume237
ISBN (Electronic)978-3-319-91548-7
DOIs
Publication statusPublished - 1 Jan 2018
Event16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016 - Aachen, Germany
Duration: 1 Aug 20165 Aug 2016

Conference

Conference16th International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 2016
Country/TerritoryGermany
CityAachen
Period1/08/165/08/16

Keywords

  • Enhanced oil recovery General structure for shocks
  • Geochemical flow
  • Rarefactions and bifurcation loci

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