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Random-walk Modeling of Reactive Transport in Porous Media With a Reduced-order Chemical Basis of Conservative Components
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  • Diogo Bolster,
  • Guillem Sole-Mari,
  • Michael J Schmidt,
  • Daniel Fernandez Garcia
Diogo Bolster
University of Notre Dame

Corresponding Author:dbolster@nd.edu

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Guillem Sole-Mari
Universitat Polit├Ęcnica de Catalunya
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Michael J Schmidt
Colorado School of Mines
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Daniel Fernandez Garcia
Technical University of Catalonia
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In this work we employ a reduced-order basis of conservative chemical components to model reactive transport using a Lagrangian (particle tracking) method. While this practice is well-understood in the Eulerian (grid-based) context, its adaptation to a Lagrangian context requires a novel reformulation of particle transport properties. Because the number of conservative-species particles need not change during simulation, spatial resolution stays constant in time, and there is no increase in computational expense due to increasing numbers of product particles. Additionally, this treatment simplifies the interaction between equilibrium and kinetic reactions and allows the use of species-dependent transport operators at the same time. We apply this method to model a suite of simple test problems that include equilibrium and kinetic reactions, and results exhibit excellent match with base-case Eulerian results. Finally, we apply the new method to model a 2D problem concerning the mobilisation of cadmium by a CO$_2$ leak, showing the potential applicability of the proposed methodology.