14-17 May 2018
New Orleans
US/Central timezone

Phase field formulations for reactive two-phase flow

16 May 2018, 10:26
15m
New Orleans

New Orleans

Oral 20 Minutes MS 1.18: Pore scale formulations and upscaling of reactive transport problems in porous media Parallel 6-A

Speaker

Carina Bringedal (Hasselt University)

Description

Two-phase flow problems and reactive flow with changing pore geometry both include a free boundary at the pore scale. Chemical reactions as mineral precipitation and dissolution can alter the pore structure; hence the fluid-grain interface evolves following the reaction rates. The presence of two immiscible fluids introduces an evolving fluid-fluid interface depending on the flow itself and surface tension. Problems with evolving boundaries are usually formulated through the location of the sharp interfaces, but we here propose phase field formulations that allow formulating the relevant processes on a larger regular domain with the evolving interface appearing as a diffuse transition of non-zero width. From a numerical point of view, the phase field formulation is simpler as the small-scale structures do not need to be explicitly resolved but is instead captured through the evolution of the phase fields. In the limit as the diffuse interface width approaches zero, the usual sharp interface formulation is obtained. Further, the pore scale phase field formulations can be upscaled to the macro (Darcy) scale using homogenization.

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Primary author

Carina Bringedal (Hasselt University)

Co-author

Prof. Sorin Pop (Hasselt University)

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