Pore-Scale Modelling of Rate Effects in Waterflooding

We develop a rate-dependent network model that accounts for viscous forces by solving for the wetting and non-wetting phase pressure and which allows wetting layer swelling near an advancing flood front. The model incorporates a new time-dependent algorithm by accounting for partial filling of elements. We use the model to study the effects of capillary number, mobility ratio and contact angle distribution on waterflood displacement patterns, saturation and velocity profiles. By using large networks, generated from a new stochastic network algorithm, we reproduce Buckley–Leverett profiles directly from pore-scale modelling thereby providing a bridge between pore-scale and macro-scale transport.

[1]  Tadeusz W Patzek Verification of a Complete Pore Network Simulator of Drainage and Imbibition , 2000 .

[2]  Stig Bakke,et al.  Extending Predictive Capabilities to Network Models , 1998 .

[3]  Bryant,et al.  Prediction of relative permeability in simple porous media. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[4]  Alex Hansen,et al.  A Two-Dimensional Network Simulator for Two-Phase Flow in Porous Media , 1997 .

[5]  S. Bakke,et al.  3-D Pore-Scale Modelling of Sandstones and Flow Simulations in the Pore Networks , 1997 .

[6]  S. V. Pokrovsky,et al.  One-Dimensional Dynamics of Jet Flows of Elastic Fluids , 1997 .

[7]  Stig Bakke,et al.  Reconstruction of Berea sandstone and pore-scale modelling of wettability effects , 2003 .

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

[9]  J. W. Ruge,et al.  4. Algebraic Multigrid , 1987 .

[10]  S. E. Buckley,et al.  Mechanism of Fluid Displacement in Sands , 1942 .

[11]  Bulk Flow Regimes and Fractional Flow in 2D Porous Media by Numerical Simulations , 2000, cond-mat/0008014.

[12]  Martin J. Blunt,et al.  Predictive pore‐scale modeling of two‐phase flow in mixed wet media , 2004 .

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

[14]  Scher,et al.  Pore-level modeling of wetting. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  S. Bakke,et al.  Process Based Reconstruction of Sandstones and Prediction of Transport Properties , 2002 .

[16]  Martin J Blunt,et al.  Dynamic network modeling of two-phase drainage in porous media. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  T. Matsuura,et al.  Viscous and capillary pressures during drainage: Network simulations and experiments , 1997 .

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

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

[20]  Madalena M. Dias,et al.  Network models for two-phase flow in porous media Part 1. Immiscible microdisplacement of non-wetting fluids , 1986, Journal of Fluid Mechanics.

[21]  M. Panfilov,et al.  Phenomenological Meniscus Model for Two-Phase Flows in Porous Media , 2005 .

[22]  Mark A. Knackstedt,et al.  The effect of displacement rate on imbibition relative permeability and residual saturation , 2006 .

[23]  Cesar Zarcone,et al.  Numerical models and experiments on immiscible displacements in porous media , 1988, Journal of Fluid Mechanics.

[24]  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.

[25]  J. Koplik,et al.  Immiscible fluid displacement in small networks , 1985 .

[26]  Alkiviades C. Payatakes,et al.  Effects of Precursor Wetting Films in Immiscible Displacement Through Porous Media , 2000 .

[27]  M. Blunt,et al.  Pore Scale Modeling of Rate Effects in Imbibition , 2000 .

[28]  O. Vizika,et al.  On the Role of the Viscosity Ratio during Low-Capillary-Number Forced Imbibition in Porous Media , 1994 .