Hauptseminar Porous Media SS 2021/Transport in porous networks

Date

2021-06-25

Time

14:30

Topic

Transport in porous networks

Speaker

Stefan Orth

Tutor

Philipp Stärk

Contents

Understanding transport of fluids in porous networks is directly useful to a large array of technical applications, including mining, oil recovery, battery design, catalysis design etc.

Obviously, transport of fluids in porous networks depends on the exact hydrodynamic conditions inside the material, which can be characterized via various dimensionless numbers (Reynolds, Peclet, Knudsen, Mach).

In this talk the theory of transport will be described, first by considering Poiseuille-Hagen flow and then extending this model to more complex pore geometries in Darcy's law, while discussing limitations and corrections of all considered model assumptions. In particular, the talk will also deal with the interesting phenomenon of liquid imbibition, to consider the effects of adsorption and confinement.

In a second part of the talk, pore network models will be considered, where transport properties can be determined on a simple, coarse grained model of porous medium by using conservation equations, akin to the well-known Kirchhoff laws in electrical engineering.

Literature

• Jean-Louis Barrat, Lydéric Bocquet.
  Large Slip Effect at a Nonwetting Fluid-Solid Interface.
  Physical Review Letters 82(23):4671–4674, 1999.
  [DOI]
• Yuya Tsunazawa, Tadashi Yokoyama, Naoki Nishiyama.
  An Experimental Study on the Rate and Mechanism of Capillary Rise in Sandstone.
  Progress in Earth and Planetary Science 3(1):8, 2016.
  [DOI]
• Jacob Bear.
  Modeling Phenomena of Flow and Transport in Porous Media.
  Edited by Jacob Bear. Part of Theory and Applications of Transport in Porous Media.
  Springer International Publishing, Cham, 2018. ISBN: 978-3-319-72826-1.
  [DOI]
• Amaël Obliger, Marie Jardat, Daniel Coelho, Samir Bekri, Benjamin Rotenberg.
  Pore network model of electrokinetic transport through charged porous media.
  Physical Review E 89(4):043013, 2014.
  [PDF] (2.1 MB) [DOI]