4.3 Article

Comparison study of phase-field and level-set method for three-phase systems including two minerals

Journal

COMPUTATIONAL GEOSCIENCES
Volume 26, Issue 3, Pages 545-570

Publisher

SPRINGER
DOI: 10.1007/s10596-022-10142-w

Keywords

Pore-scale; Moving boundary; Reactive transport; Phase-field method; Level-set method; Multiphase solid

Funding

  1. Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy [EXC 2075-390740016]
  2. Stuttgart Center for Simulation Science (SimTech)
  3. DFG Research Training Group 2339 Interfaces, Complex Structures, and Singular Limits
  4. DFG Research Unit 2179 MadSoil

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We investigate the reactive flow and transport in porous media and propose phase-field and level-set models to simulate the evolution of a three-phase system involving mineral precipitation and dissolution reactions. The simulation results are analyzed in terms of mineral volumes, surface areas, and derived effective quantities such as diffusion and permeability tensors. It is found that the phase-field model is influenced by curvature-driven motion during the simulation process.
We investigate reactive flow and transport in evolving porous media. Solute species that are transported within the fluid phase are taking part in mineral precipitation and dissolution reactions for two competing mineral phases. The evolution of the three phases is not known a-priori but depends on the concentration of the dissolved solute species. To model the coupled behavior, phase-field and level-set models are formulated. These formulations are compared in three increasingly challenging setups including significant mineral overgrowth. Simulation outcomes are examined with respect to mineral volumes and surface areas as well as derived effective quantities such as diffusion and permeability tensors. In doing so, we extend the results of current benchmarks for mineral dissolution/precipitation at the pore-scale to the multiphasic solid case. Both approaches are found to be able to simulate the evolution of the three-phase system, but the phase-field model is influenced by curvature-driven motion.

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