Application of level-set method for deposition in three-dimensional reconstructed porous media

M. T. Vu (1) , P. M. Adler (2)

1 VNU - Department of Civil Engineering, International University
2 METIS - Milieux Environnementaux, Transferts et Interactions dans les hydrosystèmes et les Sols

Three-dimensional (3D) porous structures which are usually discretized by voxels can also be discretized by the level-set method (LSM) and flow, reactive transport, and structure evolution can be modeled. The determination of the solid-liquid interface is detailed as well as the discretization of the governing equations. Comparisons between a one-dimensional analytical solution and LSM are conducted for validation. Deposition in 3D reconstructed media is studied under various flow and reaction conditions. The evolution of the structure is explored locally by means of the pore geometry and globally by means of the permeability and the porosity. The difference between the voxel method and LSM is discussed during the investigations.

Domaines: Géophysique [physics.geo-ph]

M. T. Vu, P. M. Adler. Application of level-set method for deposition in three-dimensional reconstructed porous media. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2014, 89 (5), In press. ⟨10.1103/PhysRevE.89.053301⟩. ⟨hal-01196394⟩