GRAVITY INVASION PERCOLATION IN 2 DIMENSIONS - EXPERIMENT AND SIMULATION

被引：138

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

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 05期

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

页码：584 / 587

页数：4

共 24 条

[11] QUANTITATIVE-ANALYSIS OF AN INVADING-FLUID INVASION FRONT UNDER GRAVITY [J].

HULIN, JP ;

CLEMENT, E ;

BAUDET, C ;

GOUYET, JF ;

ROSSO, M .

PHYSICAL REVIEW LETTERS, 1988, 61 (03) :333-336

[12] INVASION PERCOLATION IN AN ETCHED NETWORK - MEASUREMENT OF A FRACTAL DIMENSION [J].

LENORMAND, R ;

ZARCONE, C .

PHYSICAL REVIEW LETTERS, 1985, 54 (20) :2226-2229

[13] NUMERICAL-MODELS AND EXPERIMENTS ON IMMISCIBLE DISPLACEMENTS IN POROUS-MEDIA [J].

LENORMAND, R ;

TOUBOUL, E ;

ZARCONE, C .

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 [J].

MALOY, KJ ;

FEDER, J ;

JOSSANG, T .

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 [J].

NITTMANN, J ;

DACCORD, G ;

STANLEY, HE .

NATURE, 1985, 314 (6007) :141-144

[19] EXACT DETERMINATION OF THE PERCOLATION HULL EXPONENT IN 2 DIMENSIONS [J].

SALEUR, H ;

DUPLANTIER, B .

PHYSICAL REVIEW LETTERS, 1987, 58 (22) :2325-2328

[20]

SAPOVAL B, 1985, J PHYS LETT-PARIS, V46, pL149, DOI 10.1051/jphyslet:01985004604014900

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