Random‐Walk Modeling of Reactive Transport in Porous Media With a Reduced‐Order Chemical Basis of Conservative Components

Abstract

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 mobilization of cadmium by a CO2 leak, showing the potential applicability of the proposed methodology.

Document Details

Document Type
Pub Defense Publication
Publication Date
Apr 01, 2021
Source ID
10.1029/2020wr028679

Entities

People

  • Daniel Fernàndez-Garcia
  • Diogo Bolster
  • Guillem Sole-Mari
  • Michael J. Schmidt

Organizations

  • Army Research Office
  • Polytechnic University of Catalonia
  • Sandia National Laboratories
  • University of Notre Dame

Tags

Fields of Study

  • Environmental science

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Solar Physics