# Dresden 2009 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

# DY: Fachverband Dynamik und Statistische Physik

## DY 12: Poster I

### DY 12.12: Poster

### Dienstag, 24. März 2009, 14:30–16:30, P1A

**Hysteresis in twophase flow in porous media - a numerical experiment** — •Florian Doster^{1}, Paul Zegeling^{2}, and Rudolf Hilfer^{1,3} — ^{1}Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — ^{2}Departement of Mathematics, Utrecht University, 3584 CD Utrecht, Netherlands — ^{3}Institute for Physics, University of Mainz, 55099 Mainz, Germany

Existing theories for twophase flow in porous media at the scale of centimeters to hectometers show a number of deficiencies, particularly concerning hysteresis, upscaling and residual saturations. An alternative constitutive theory [1] has proposed to treat the percolating and the non-percolating fluid parts seperately. We have now closed the set of nonlinear coupled partial differential equations of this theory selfconsistently. The set of equations is then solved for the initial/boundary value problem of raising a closed column by an adaptive moving grid algorithm [2]. Its solutions show that this new constitutive theory [1] is capable of predicting some hysteretic phenomena in twophase flow in porous media.

[1] R. Hilfer, Phys. Rev. E, 016307 (2006)

[2] J.G. Blom et al., ACM Trans. in Math. Software 20, 194, (1994)