GRAVITY INVASION PERCOLATION IN 2 DIMENSIONS - EXPERIMENT AND SIMULATION

被引:132
作者
BIROVLJEV, A [1 ]
FURUBERG, L [1 ]
FEDER, J [1 ]
JOSSANG, T [1 ]
MALOY, KJ [1 ]
AHARONY, A [1 ]
机构
[1] TEL AVIV UNIV, RAYMOND & BEVERLY SACKLER FAC EXACT SCI, SCH PHYS & ASTRON, IL-69978 TEL AVIV, ISRAEL
关键词
D O I
10.1103/PhysRevLett.67.584
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present experiments and computer simulations of slow drainage in a two-dimensional porous medium. The effect of gravity is systematically varied by tilting the system from the horizontal position. The width a of the front between the fluids is found to scale with the dimensionless Bond number Bo (ratio between gravitational and capillary forces) as sigma approximately Bo-0.57, as predicted by theory. The external perimeter of the invaded structure is shown to be fractal with the fractal dimension D(e) congruent-to 1.34 for length scales smaller than the front width.
引用
收藏
页码:584 / 587
页数:4
相关论文
共 24 条
  • [11] QUANTITATIVE-ANALYSIS OF AN INVADING-FLUID INVASION FRONT UNDER GRAVITY
    HULIN, JP
    CLEMENT, E
    BAUDET, C
    GOUYET, JF
    ROSSO, M
    [J]. PHYSICAL REVIEW LETTERS, 1988, 61 (03) : 333 - 336
  • [12] INVASION PERCOLATION IN AN ETCHED NETWORK - MEASUREMENT OF A FRACTAL DIMENSION
    LENORMAND, R
    ZARCONE, C
    [J]. PHYSICAL REVIEW LETTERS, 1985, 54 (20) : 2226 - 2229
  • [13] NUMERICAL-MODELS AND EXPERIMENTS ON IMMISCIBLE DISPLACEMENTS IN POROUS-MEDIA
    LENORMAND, R
    TOUBOUL, E
    ZARCONE, C
    [J]. JOURNAL OF FLUID MECHANICS, 1988, 189 : 165 - 187
  • [14] Maloy K. J., 1987, Time-Dependent Effects in Disordered Materials. Proceedings of a NATO Advanced Study Institute, P111
  • [15] VISCOUS FINGERING FRACTALS IN POROUS-MEDIA
    MALOY, KJ
    FEDER, J
    JOSSANG, T
    [J]. PHYSICAL REVIEW LETTERS, 1985, 55 (24) : 2688 - 2691
  • [16] Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT, P1
  • [17] Meakin P, 1987, PHASE TRANSITIONS CR, P336
  • [18] FRACTAL GROWTH OF VISCOUS FINGERS - QUANTITATIVE CHARACTERIZATION OF A FLUID INSTABILITY PHENOMENON
    NITTMANN, J
    DACCORD, G
    STANLEY, HE
    [J]. NATURE, 1985, 314 (6007) : 141 - 144
  • [19] EXACT DETERMINATION OF THE PERCOLATION HULL EXPONENT IN 2 DIMENSIONS
    SALEUR, H
    DUPLANTIER, B
    [J]. PHYSICAL REVIEW LETTERS, 1987, 58 (22) : 2325 - 2328
  • [20] SAPOVAL B, 1985, J PHYS LETT-PARIS, V46, pL149, DOI 10.1051/jphyslet:01985004604014900