| Issue |
J. Phys. II France
Volume 3, Number 7, July 1993
|
|
|---|---|---|
| Page(s) | 955 - 959 | |
| DOI | https://doi.org/10.1051/jp2:1993175 | |
DOI: 10.1051/jp2:1993175
J. Phys. II France 3 (1993) 955-959
Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, Siberian division, Lavrentyev pr. 15, 630090, Novosibirsk, Russia
47.55 - 47.55M - 47.20
© Les Editions de Physique 1993
J. Phys. II France 3 (1993) 955-959
Fingering in the fast flow through porous medium
A.P. Ershov, A.L. Kupershtokh and A.Ya. DammerLavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, Siberian division, Lavrentyev pr. 15, 630090, Novosibirsk, Russia
(Received 8 January 1993, revised 14 May 1993, accepted 18 May 1993)
Abstract
The displacement of dense liquid from the pore space, e.g. by injected gas, is considered. For fast flow regimes the drag
law is non-linear. The resulting nonlinear boundary problem can be solved by methods similar to dielectric-breakdown models.
The gas jets form fractal structures. In the plane geometry the fractal dimension
D exceeds the known linear Laplace value
D1, but it is less than
D0.5 obtained in the model with a growth parameter
.
47.55 - 47.55M - 47.20
© Les Editions de Physique 1993