Pore network modeling of two-phase flow in a liquid-(disconnected) gas system

The appropriate description of two-phase flow in some systems requires a detailed analysis of the fundamental equations of flow and transport including momentum transfer between fluid phases. In the particular case of two-phase flow of oil and gas through porous media, when the gas phase is present as disconnected bubbles, there are inconsistencies in calculated flow properties derived by using the conventional Darcean description. In a two-phase system, the motion of one fluid phase may induce significant changes in the mobility of the second phase, as known from the generalized transport equations derived by Whitaker and Kalaydjian. The relevance of such coupling coefficients with respect to the conventional relative permeability term in two-phase Darcean flow is evaluated in this work for an oil-(disconnected) gas system. The study was performed using a new Pore Network Simulator specially designed for this case. Results considering both, Darcy's equation and generalized flow equations suggest that the four transport coefficients (effective permeabilities and coupling coefficients) are needed for a proper description of the macroscopic flow in a liquid-disconnected gas system.

[1]  M. Pooladi-Darvish,et al.  Solution-gas Drive In Heavy Oil Reservoirs , 1999 .

[2]  V. D. L. Cruz,et al.  Mobilization of oil ganglia , 1983 .

[3]  Y. Yortsos,et al.  Model for the gas evolution in a porous medium driven by solute diffusion , 2002 .

[4]  R. E. Hayes,et al.  Modelling Foamy Oil Flow in Porous Media , 1999 .

[5]  Scher,et al.  Simulation and theory of two-phase flow in porous media. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[6]  R. Dawe,et al.  The depressurization of water-flooded reservoirs; wettability and critical gas saturation , 1996, Petroleum Geoscience.

[7]  M. Blunt,et al.  Wettability effects in three-phase gravity drainage , 1998 .

[8]  Alkiviades C. Payatakes,et al.  Mechanistic Model of Steady-State Two-Phase Flow in Porous Media Based on Ganglion Dynamics , 1998 .

[9]  Relation between pressure and fractional flow in two-phase flow in porous media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Lincoln Paterson,et al.  Pore-scale network model for drainage-dominated three-phase flow in porous media , 1996 .

[11]  Kent S. Udell,et al.  Nonaqueous phase liquid transport and cleanup: 1. Analysis of mechanisms , 1988 .

[12]  W. Rose.  Measuring transport coefficients necessary for the description of coupled two-phase flow of immiscible fluids in porous media , 1988 .

[13]  Martin J. Blunt,et al.  Relative permeabilities from two- and three-dimensional pore-scale network modelling , 1991 .

[14]  W. Rose.  Critical questions about the coupling hypothesis , 1991 .

[15]  Kristian Mogensen,et al.  A Dynamic Two-Phase Pore-Scale Model of Imbibition , 1998 .

[16]  Robert I. Nigmatulin,et al.  Dynamics of multiphase media , 1991 .

[17]  Anthony R. Kovscek,et al.  A pore-level scenario for the development of mixed-wettability in oil reservoirs , 1993 .

[18]  Blunt,et al.  Macroscopic parameters from simulations of pore scale flow. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[19]  Stephen Whitaker,et al.  Flow in porous media II: The governing equations for immiscible, two-phase flow , 1986 .

[20]  Ramon G. Bentsen,et al.  Interfacial viscous coupling: a myth or reality? , 1999 .

[21]  R. Bentsen.  Influence of hydrodynamic forces and interfacial momentum transfer on the flow of two immiscible phases , 1998 .

[22]  M. Sahimi.  Flow phenomena in rocks : from continuum models to fractals, percolation, cellular automata, and simulated annealing , 1993 .

[23]  Alkiviades C. Payatakes,et al.  Dynamics of Oil Ganglia During Immiscible Displacement in Water-Wet Porous Media , 1982 .

[24]  François Kalaydjian,et al.  Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media , 1990 .

[25]  F. Dullien.  Porous Media: Fluid Transport and Pore Structure , 1979 .

[26]  E. W. Washburn.  The Dynamics of Capillary Flow , 1921 .

[27]  Martin J. Blunt,et al.  Three-dimensional modeling of three phase imbibition and drainage , 1998 .

[28]  J. S. Archer,et al.  Petroleum Engineering: Principles and Practice , 1986 .

[29]  T. J. Lasseter,et al.  Two-phase flow in random network models of porous media , 1985 .

[30]  Walter Rose,et al.  Optimizing experimental design for coupled porous media flow studies , 1990 .

[31]  Matthew D. Jackson,et al.  Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. , 2002 .

[32]  Rudolf Hilfer,et al.  Transport and Relaxation Phenomena in Porous Media , 2007 .

[33]  François Kalaydjian,et al.  A macroscopic description of multiphase flow in porous media involving spacetime evolution of fluid/fluid interface , 1987 .

[34]  J. Bear.  Dynamics of Fluids in Porous Media , 1975 .

[35]  Madalena M. Dias,et al.  Network models for two-phase flow in porous media Part 2. Motion of oil ganglia , 1986, Journal of Fluid Mechanics.

[36]  Y. Yortsos,et al.  Theory of multiple bubble growth in porous media by solute diffusion , 1995 .

[37]  J. Moulu.  Solution-gas drive: experiments and simulation , 1989 .

[38]  M. Blunt.  Physically-based network modeling of multiphase flow in intermediate-wet porous media , 1998 .

[39]  Ramon G. Bentsen,et al.  Effect of momentum transfer between fluid phases on effective mobility , 1998 .

[40]  F. Javadpour,et al.  Network modelling of apparent-relative permeability of gas in heavy oils , 2004 .

[41]  S. Whitaker.  The closure problem for two-phase flow in homogeneous porous media , 1994 .