Dresden 2009 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Poster I
DY 12.12: Poster
Tuesday, March 24, 2009, 14:30–16:30, P1A
Hysteresis in twophase flow in porous media - a numerical experiment — •Florian Doster1, Paul Zegeling2, and Rudolf Hilfer1,3 — 1Institute for Computational Physics, University of Stuttgart, 70569 Stuttgart, Germany — 2Departement of Mathematics, Utrecht University, 3584 CD Utrecht, Netherlands — 3Institute 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)