Session

11.09.2017     14:10–15:50

Title:
MS11
Effective models for porous media containing thin structures
Type:
Subsurface models (cryoshpere, hydrosphere, lithosphere, pedoshpere)

Porous media containing thin structures occur in a wide range of applications in the geosciences like e.g., ground water contamination, but also in other fields like engineering and biology. Flow and reactive transport processes in fractured porous media lead to great mathematical challenges in the numerical treatment of the mathematical models, since the magnitude of the thin fractures is several orders of magnitude smaller than the surrounding media. The aim of this minisymposium is the derivation of reduced effective models for the microscopic problems which can be treated numerically with an reasonable effort and give an approximation of the microscopic model. In the effective models the thin layer reduces to an interface and the influence of the layers arise in these models as effective transmission conditions. 

11.09.2017
14:10–15:50

Title:
MS11
Effective models for porous media containing thin structures
Type:
Subsurface models (cryoshpere, hydrosphere, lithosphere, pedoshpere)

Porous media containing thin structures occur in a wide range of applications in the geosciences like e.g., ground water contamination, but also in other fields like engineering and biology. Flow and reactive transport processes in fractured porous media lead to great mathematical challenges in the numerical treatment of the mathematical models, since the magnitude of the thin fractures is several orders of magnitude smaller than the surrounding media. The aim of this minisymposium is the derivation of reduced effective models for the microscopic problems which can be treated numerically with an reasonable effort and give an approximation of the microscopic model. In the effective models the thin layer reduces to an interface and the influence of the layers arise in these models as effective transmission conditions. 


14:10–14:30
O54 Analysis and upscaling of a model for reactive flow in porous media 
Iuliu Sorin Pop (Bergen/NO, Diepenbeek/NL)


14:30–14:50
O55 Effective pressure boundary condition for the filtration through porous medium via homogenization
Eduard Marusic-Paloka (Zagreb/HR)


14:50–15:10
O56 Effective transmission conditions for transport processes through a thin layer
Markus Gahn (Erlangen/DE)


15:10–15:30
O57 Homogenization via unfolding in domains separated by a thin layer of thin beams
Orlik Julia (Kaiserslautern/DE)


15:30–15:50
O58 Space-time domain decomposition for a nonlinear parabolic model of two-phase flow with discontinuous capillary pressure
Michel Kern (Paris, Saclay/FR)