Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 17: Anomalous Transport II (talks contributed by DY)
DY 17.6: Vortrag
Mittwoch, 24. März 2010, 12:30–12:45, H38
Anomalous transport in porous media II: Momentum diffusion in multiscale media — •Thomas Zauner1 and Rudolf Hilfer1,2 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Institute for Physics, University of Mainz, 55099 Mainz, Germany
We study viscous momentum diffusion in porous media using lattice Boltzmann simulations. A crucial transport parameter describing momentum diffusion is permeability. It is determined by the underlying stochastic geometry at the pore scale. When the geometry exhibits structure at several scales, viscous dissipation becomes scale dependent. As a consequence the permeability may become scale dependent. We use a recently introduced multiscale model for carbonate rocks [1]. Carbonate rock is known for exhibiting anomalous transport phenomena. Two methodically different lattice Boltzmann implementations, with single- and multirelaxation time collision operator, are used for numerical calculations. We find anomalous behavior in the sense of scale dependent momentum diffusion.
[1] Biswal, B. and Oren, P. E. and Held, R. J. and Bakke, S. and Hilfer, R., Phys. Rev. E, 75, 2007.