DYNAMIC SCALING OF THE INTERFACE IN 2-PHASE VISCOUS FLOWS IN POROUS-MEDIA

被引：159

作者：

HORVATH, VK ^{[1
]}

FAMILY, F ^{[1
]}

VICSEK, T ^{[1
]}

机构：

[1] EMORY UNIV,DEPT PHYS,ATLANTA,GA 30322

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 01期

关键词：

D O I：

10.1088/0305-4470/24/1/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The time evolution and geometry of rough interfaces observed in experiments on immiscible displacement of viscous fluids in porous media are analysed using the concepts of dynamic scaling and self-affine fractal geometry. We find that the development of the interface is governed by dynamic scaling and we have determined the corresponding surface exponents-alpha and beta. The values of the exponents calculated for the experimental patterns are different from those obtained for a variety of two-dimensional models of marginally stable interfaces.

引用

页码：L25 / L29

页数：5

共 35 条

[1] NUMERICAL-SOLUTION OF A CONTINUUM EQUATION FOR INTERFACE GROWTH IN 2+1 DIMENSIONS [J].

AMAR, JG ;

FAMILY, F .

PHYSICAL REVIEW A, 1990, 41 (06) :3399-3402

[2]

Burgers JM., 1974, NONLINEAR DIFFUSION, DOI DOI 10.1007/978-94-010-1745-9

[3] FRACTAL DIMENSIONS OF LANDSCAPES AND OTHER ENVIRONMENTAL DATA [J].

BURROUGH, PA .

NATURE, 1981, 294 (5838) :240-242

[4] INFLUENCE OF CONTACT-ANGLE ON QUASI-STATIC FLUID INVASION OF POROUS-MEDIA [J].

CIEPLAK, M ;

ROBBINS, MO .

PHYSICAL REVIEW B, 1990, 41 (16) :11508-11521

[5]

COLEMAN M, 1990, PREPRINT

[6] THE SURFACE STATISTICS OF A GRANULAR AGGREGATE [J].

EDWARDS, SF ;

WILKINSON, DR .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1982, 381 (1780) :17-31

[7] SCALING OF THE ACTIVE ZONE IN THE EDEN PROCESS ON PERCOLATION NETWORKS AND THE BALLISTIC DEPOSITION MODEL [J].

FAMILY, F ;

VICSEK, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (02) :L75-L81

[8] DYNAMIC SCALING AND PHASE-TRANSITIONS IN INTERFACE GROWTH [J].

FAMILY, F .

PHYSICA A, 1990, 168 (01) :561-580

[9] SCALING OF ROUGH SURFACES - EFFECTS OF SURFACE-DIFFUSION [J].

FAMILY, F .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (08) :L441-L446

[10] SCALING PROPERTIES OF THE SURFACE OF THE EDEN MODEL IN D = 2, 3, 4 [J].

JULLIEN, R ;

BOTET, R .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (12) :2279-2287

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