Fingering instability in water-oil displacement

被引：30

作者：

Brailovsky, I

Babchin, A

Frankel, M

Sivashinsky, G ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Alberta Res Council, Edmonton, AB T6N 1E4, Canada

[3] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

来源：

TRANSPORT IN POROUS MEDIA | 2006年 / 63卷 / 03期

基金：

美国国家科学基金会; 以色列科学基金会;

关键词：

fingering; flows in porous media; interface instability;

D O I：

10.1007/s11242-005-8430-z

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

Following the classical Buckley-Leverett theory for the two-phase immiscible flows in porous media a non-linear evolution equation for the water-oil displacement front is formulated and studied numerically. The numerical simulations yield a physically plausible picture of the fingering instability known to develop in water-oil systems. A way to control the unrestricted growth of fingers is discussed. Distinctions and similarities with dynamically related Saffman-Taylor and Darrieus-Landau problems are outlined.

引用

页码：363 / 380

页数：18

共 23 条

[1]

[Anonymous], 1988, DYNAMICS CURVED FRON

[2]

Barenblatt G.I., 1972, THEORY UNSTEADY FLUI

[3]

Barenblatt G.I., 1990, Theory of Fluid Flow Through Natural Rocks

[4] VISCOUS FLOWS IN 2 DIMENSIONS [J].

BENSIMON, D ;

KADANOFF, LP ;

LIANG, SD ;

SHRAIMAN, BI ;

TANG, C .

REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :977-999

[5] GEOMETRICAL MODELS OF INTERFACE EVOLUTION [J].

BROWER, RC ;

KESSLER, DA ;

KOPLIK, J ;

LEVINE, H .

PHYSICAL REVIEW A, 1984, 29 (03) :1335-1342

[6]

CHIKHLIWALA ED, 1985, 14367 SPE

[7] AN EQUATION OF SURFACE DYNAMICS MODELING FLAME FRONTS AS DENSITY DISCONTINUITIES IN POTENTIAL FLOWS [J].

FRANKEL, ML .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (10) :1879-1883

[8]

Godunov S. K., 1964, THEORY DIFFERENCE SC

[9] DISPLACEMENT STABILITY OF WATER DRIVES IN WATER-WET CONNATE-WATER-BEARING RESERVOIRS [J].

HAGOORT, J .

SOCIETY OF PETROLEUM ENGINEERS JOURNAL, 1974, 14 (01) :63-71

[10] VISCOUS FINGERING IN POROUS-MEDIA [J].

HOMSY, GM .

ANNUAL REVIEW OF FLUID MECHANICS, 1987, 19 :271-311

← 1 2 3 →