Multiphase flow in porous media

Multiphase flow in natural porous media
Contact: Peter Knabner
Participants: Jens Oberlander; formerly: Estelle Marchand, Fabian Brunner

We are concerned with physical models involving exchange of components between phases, capilarry effects and Fickian diffusion. It allows any (dis)appearance of one of the phases. Modeling and numerical aspects of the problem are considered, the keywords for our approach being “complementarity problem” and “mixed-hybrid elements”. Possible applications are modeling hydrogen flow processes in nuclear waste storage sites and CO2-sequestration.

2D-Simulation results: time evolution of saturation and gas pressure

Saturation. Color scale: from 0 (blue) to 0.024 (red).

 

Gas pressure. Color scale: from 42 bar (blue) to 218 bar (red).

 

Gas pressure. Color scale: from 42 bar (blue) to 55 bar (red).

Publications

  • Estelle Marchand, Peter Knabner. Results of the MoMaS benchmark for gas phase appearance and disappearance using generalized MHFE. Advances in Water Resources 73,  2014, 74-96. DOI: 10.1016/j.advwatres.2014.07.005
  • Torsten Müller. A Generalised Fully Coupled Hybrid-Mixed Finite Element Approximation for Multi-Component Two-Phase Flows in Porous Media. PhD These, 2013. URN: urn:nbn:de:bvb:29-opus-4796
  • Estelle Marchand, Torsten Müller, Peter Knabner. Fully Coupled Generalized Hybrid-Mixed Finite Element Approximation of Two-Phase Two-Component Flow in Porous Media. Part I: Formulation and Properties of the Mathematical Model. Computational Geosciences 17(2), 2013, 431–442. DOI: 10.1007/s10596-013-9341-7
  • Estelle Marchand, Torsten Müller, Peter Knabner. Fully Coupled Generalised Hybrid-Mixed Finite Element Approximation of Two-Phases Two-Component Flow in Porous Media. Part II: Numerical Scheme and Numerical Results. Computational Geosciences 16, 2012, 691-708. DOI: 10.1007/s10596-012-9279-1