Numerical simulation of geochemical compaction with discontinuous reactions

Abramo Agosti, Luca Formaggia, Bianca Giovanardi, Anna Scotti

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

1 Citation (Scopus)

Abstract

The present work deals with the numerical simulation of porous media subject to the coupled effects of mechanical compaction and reactive flows that can significantly alter the porosity due to dissolution, precipitation or transformation of the solid matrix. These chemical processes can be effectively modelled as ODEs with discontinuous right hand side, where the discontinuity depends on time and on the solution itself. Filippov theory can be applied to prove existence and to determine the solution behaviour at the discontinuities. From the numerical point of view, tailored numerical schemes are needed to guarantee positivity, mass conservation and accuracy. In particular, we rely on an event-driven approach such that, if the trajectory crosses a discontinuity, the transition point is localized exactly and integration is restarted accordingly.

Original languageEnglish
Title of host publicationCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
EditorsEugenio Onate, Manolis Papadrakakis, Bernhard A. Schrefler
PublisherInternational Center for Numerical Methods in Engineering
Pages300-311
Number of pages12
ISBN (Electronic)9788494392832
Publication statusPublished - 2015
Externally publishedYes
Event6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015 - Venice, Italy
Duration: 18 May 201520 May 2015

Publication series

NameCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering

Conference

Conference6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015
CountryItaly
CityVenice
Period18/05/1520/05/15

Keywords

  • Compaction processes
  • Discontinuous RHS ODE
  • Mineral dissolution/precipitation

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