Steady-State Two-Phase Flow in Porous Media: Statistics and Transport Properties

被引:137
作者
Tallakstad, Ken Tore [1 ]
Knudsen, Henning Arendt [1 ]
Ramstad, Thomas [2 ,3 ]
Lovoll, Grunde [1 ]
Maloy, Knut Jorgen [1 ]
Toussaint, Renaud [4 ]
Flekkoy, Eirik Grude [1 ]
机构
[1] Univ Oslo, Dept Phys, NO-0316 Oslo, Norway
[2] Norwegian Univ Sci & Technol, Dept Phys, NO-7491 Trondheim, Norway
[3] Numer Rocks AS, NO-7041 Trondheim, Norway
[4] Univ Strasbourg, CNRS, UMR 7516, Inst Phys Globe, F-67084 Strasbourg, France
关键词
IMMISCIBLE DISPLACEMENT; FRACTIONAL FLOW; DRAINAGE; REGIMES;
D O I
10.1103/PhysRevLett.102.074502
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study experimentally the case of steady-state simultaneous two-phase flow in a quasi-two-dimensional porous media. The dynamics is dominated by the interplay between a viscous pressure field from the wetting fluid and bubble transport of a less viscous, nonwetting phase. In contrast with more studied displacement front systems, steady-state flow is in equilibrium, statistically speaking. The corresponding theoretical simplicity allows us to explain a data collapse in the cluster size distribution as well as the relation |del P|proportional to Ca between the pressure gradient in the system and the capillary number.
引用
收藏
页数:4
相关论文
共 24 条
[1]   Drainage in a rough gouge-filled fracture [J].
Auradou, H ;
Måloy, KJ ;
Schmittbuhl, J ;
Hansen, A .
TRANSPORT IN POROUS MEDIA, 2003, 50 (03) :267-305
[2]   FLOW REGIMES AND RELATIVE PERMEABILITIES DURING STEADY-STATE 2-PHASE FLOW IN POROUS-MEDIA [J].
AVRAAM, DG ;
PAYATAKES, AC .
JOURNAL OF FLUID MECHANICS, 1995, 293 :207-236
[3]  
BEAR J, 1972, DYNAMICS FLUIDS PORO, P5701
[4]   PORE-SCALE VISCOUS FINGERING IN POROUS-MEDIA [J].
CHEN, JD ;
WILKINSON, D .
PHYSICAL REVIEW LETTERS, 1985, 55 (18) :1892-1895
[5]  
DULLIEN FAL, 1992, POROUS MEDIA FLUID T, P5701
[6]   Immiscible displacement of viscosity-matched fluids in two-dimensional porous media [J].
Frette, OI ;
Maloy, KJ ;
Schmittbuhl, J .
PHYSICAL REVIEW E, 1997, 55 (03) :2969-2975
[7]   LATTICE-BOLTZMANN STUDIES OF IMMISCIBLE 2-PHASE FLOW THROUGH POROUS-MEDIA [J].
GUNSTENSEN, AK ;
ROTHMAN, DH .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 1993, 98 (B4) :6431-6441
[8]  
Knudsen HA, 2002, PHYS REV E, V65, DOI 10.1103/PhysRevE.65.056310
[9]   Generic differential equation for fractional flow of steady two-phase flow in porous media [J].
Knudsen, HA ;
Hansen, A .
EUROPHYSICS LETTERS, 2004, 65 (02) :200-206
[10]   Bulk flow regimes and fractional flow in 2D porous media by numerical simulations [J].
Knudsen, HA ;
Aker, E ;
Hansen, A .
TRANSPORT IN POROUS MEDIA, 2002, 47 (01) :99-121