Comparison of permeability of model porous media between SPH and LB

Understanding how the permeability of a porous medium changes as function of solid fraction and pore geometry is vital in many significant areas. Here, we construct a number of different porous media via computer methods. We then simulate the flow of a viscous liquid through the solid packing using the Smoothed Particle Hydrodynamics (SPH) and Lattice Boltzmann (LB) methods. Qualitative comparisons of flow between the two methods are generally good as are the quantitative permeability comparisons. The relative computational efficiency of both methods is examined with the LB method being superior to SPH for this application.

[1]  Christoph H. Arns,et al.  Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment , 2002 .

[2]  Paul W. Cleary,et al.  Industrial particle flow modelling using discrete element method , 2009 .

[3]  L. Luo,et al.  Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .

[4]  J. Boon.  The Lattice Boltzmann Equation for Fluid Dynamics and Beyond , 2003 .

[5]  G. G. Pereira,et al.  NUMERICAL PORE-SCALE MODELING OF THREE-PHASE FLUID FLOW : COMPARISON BETWEEN SIMULATION AND EXPERIMENT , 1999 .

[6]  Jan D. Miller,et al.  Saturated flow characteristics in column leaching as described by LB simulation , 2005 .

[7]  P. Cleary,et al.  Smooth particle hydrodynamics: status and future potential , 2007 .

[8]  J. Monaghan.  Simulating Free Surface Flows with SPH , 1994 .

[9]  Cass T. Miller,et al.  An evaluation of lattice Boltzmann schemes for porous medium flow simulation , 2006 .

[10]  Paul W. Cleary,et al.  Large scale industrial DEM modelling , 2004 .

[11]  Zhenhua Chai,et al.  Non-Darcy flow in disordered porous media: A lattice Boltzmann study , 2010 .

[12]  M. Nafi Toksöz,et al.  Numerical Modeling of Transport Properties and Comparison to Laboratory Measurements , 2008 .

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

[14]  C. Pan,et al.  Pore-scale modeling of saturated permeabilities in random sphere packings. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Shahla Mansouri,et al.  Computational modelling of unsaturated flow of liquid in heap leaching—using the results of column tests to calibrate the model , 2005 .

[16]  Nicos Martys,et al.  Transport and diffusion in three-dimensional composite media , 1994 .

[17]  Andre Peters,et al.  Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model , 2008 .

[18]  B. Lubachevsky,et al.  Geometric properties of random disk packings , 1990 .

[19]  H. Hasimoto.  On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres , 1959, Journal of Fluid Mechanics.

[20]  Dominique d'Humières,et al.  Multireflection boundary conditions for lattice Boltzmann models. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  George M. Homsy,et al.  Stokes flow through periodic arrays of spheres , 1982, Journal of Fluid Mechanics.

[22]  Paul W. Cleary,et al.  The packing properties of superellipsoids , 2010 .

[23]  Paul W. Cleary,et al.  Modelling confined multi-material heat and mass flows using SPH , 1998 .

[24]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .

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