Distribution of avalanches in interfacial motion in a porous medium

被引：31

作者：

Dougherty, A ^{[1
]}

Carle, N ^{[1
]}

机构：

[1] Lafayette Coll, Dept Phys, Easton, PA 18042 USA

来源：

PHYSICAL REVIEW E | 1998年 / 58卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.58.2889

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We report measurements of the dynamics of an air/water interface moving through a model porous medium made of glass beads packed in a horizontal Hele-Shaw cell. At low flowrates, the interface does not move uniformly. Instead, some small regions move while others stay pinned, at least for a shea time. The,burst of motion when a pinned region breaks free is called an avalanche. In several theoretical models, such avalanches were found to follow a power-law distribution. In contrast,we find that even for very slow flow: (capillary number mu U/gamma similar to 2x10(-7)) the number of avalanches of size s decays roughly exponentially with s.

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页码：2889 / 2893

页数：5

相关论文

共 21 条

[1]

ALBERT R, IN PRESS PHYS REV LE

[2] SCALING PROPERTIES OF DRIVEN INTERFACES IN DISORDERED MEDIA [J].

AMARAL, LAN ;

BARABASI, AL ;

MAKSE, HA ;

STANLEY, HE .

PHYSICAL REVIEW E, 1995, 52 (04) :4087-4104

[3] UNIVERSALITY CLASSES FOR INTERFACE GROWTH WITH QUENCHED DISORDER [J].

AMARAL, LAN ;

BARABASI, AL ;

STANLEY, HE .

PHYSICAL REVIEW LETTERS, 1994, 73 (01) :62-65

[4] DYNAMICS OF A DISORDERED FLUX LINE LATTICE [J].

BHATTACHARYA, S ;

HIGGINS, MJ .

PHYSICAL REVIEW LETTERS, 1993, 70 (17) :2617-2620

[5] Avalanches in the directed percolation depinning and self-organized depinning models of interface roughening [J].

Buldyrev, SV ;

Amaral, LAN ;

Barabasi, AL ;

Harrington, ST ;

Havlin, S ;

Kertesz, J ;

SadrLahijany, R ;

Stanley, HE .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1996, 4 (03) :307-319

[6] ANOMALOUS INTERFACE ROUGHENING IN POROUS-MEDIA - EXPERIMENT AND MODEL [J].

BULDYREV, SV ;

BARABASI, AL ;

CASERTA, F ;

HAVLIN, S ;

STANLEY, HE ;

VICSEK, T .

PHYSICAL REVIEW A, 1992, 45 (12) :R8313-R8316

[7] Interface pinning and the dynamics of capillary rise in porous media [J].

Delker, T ;

Pengra, DB ;

Wong, PZ .

PHYSICAL REVIEW LETTERS, 1996, 76 (16) :2902-2905

[8] Intermittent behavior in slow drainage [J].

Furuberg, L ;

Maloy, KJ ;

Feder, J .

PHYSICAL REVIEW E, 1996, 53 (01) :966-977

[9] ROUGHNESS OF WETTING FLUID INVASION FRONTS IN POROUS-MEDIA [J].

HE, SJ ;

KAHANDA, GLMKS ;

WONG, PZ .

PHYSICAL REVIEW LETTERS, 1992, 69 (26) :3731-3734

[10] ANOMALOUS NOISE DISTRIBUTION OF THE INTERFACE IN 2-PHASE FLUID-FLOW [J].

HORVATH, VK ;

FAMILY, F ;

VICSEK, T .

PHYSICAL REVIEW LETTERS, 1991, 67 (23) :3207-3210