Numerical modelling of flow and transport in rough fractures

被引:28
作者
Briggs, Scott [1 ]
Karney, Bryan W. [1 ]
Sleep, Brent E. [1 ]
机构
[1] Univ Toronto, 100 Coll St, Toronto, ON M5S 1A4, Canada
关键词
Hydrogeology; Fracture flow; Solute transport; Computational fluid dynamics; Lattice Boltzmann method (LBM); Random walk (RW);
D O I
10.1016/j.jrmge.2014.10.004
中图分类号
P5 [地质学];
学科分类号
0709 ; 081803 ;
摘要
Simulation of flow and transport through rough walled rock fractures is investigated using the lattice Boltzmann method (LBM) and random walk (RW), respectively. The numerical implementation is developed and validated on general purpose graphic processing units (GPGPUs). Both the LBM and RW method are well suited to parallel implementation on GPGPUs because they require only next-neighbour communication and thus can reduce expenses. The LBM model is an order of magnitude faster on GPGPUs than published results for LBM simulations run on modern CPUs. The fluid model is verified for parallel plate flow, backward facing step and single fracture flow; and the RW model is verified for point-source diffusion, Taylor-Aris dispersion and breakthrough behaviour in a single fracture. Both algorithms place limitations on the discrete displacement of fluid or particle transport per time step to minimise the numerical error that must be considered during implementation. (C) 2014 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting by Elsevier B.V. All rights reserved.
引用
收藏
页码:535 / 545
页数:11
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共 50 条
  • [1] Ahlstrom SW, 1977, BNWL2127 BATT PACK N
  • [2] [Anonymous], 1997, PHYS CHEM EARTH
  • [3] EXPERIMENTAL AND THEORETICAL INVESTIGATION OF BACKWARD-FACING STEP FLOW
    ARMALY, BF
    DURST, F
    PEREIRA, JCF
    SCHONUNG, B
    [J]. JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) : 473 - 496
  • [4] Bailey Peter, 2009, Proceedings of the 2009 International Conference on Parallel Processing (ICPP 2009), P550, DOI 10.1109/ICPP.2009.38
  • [5] Trapping zones: The effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture
    Boutt, David F.
    Grasselli, Giovanni
    Fredrich, Joanne T.
    Cook, Benjamin K.
    Williams, John R.
    [J]. GEOPHYSICAL RESEARCH LETTERS, 2006, 33 (21)
  • [6] Lattice-Boltzmann simulations of three-dimensional fluid flow on a desktop computer
    Brewster, Jeffrey D.
    [J]. ANALYTICAL CHEMISTRY, 2007, 79 (07) : 2965 - 2971
  • [7] FLUID-FLOW THROUGH ROCK JOINTS - THE EFFECT OF SURFACE-ROUGHNESS
    BROWN, SR
    [J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1987, 92 (B2): : 1337 - 1347
  • [8] APPLICABILITY OF THE REYNOLDS-EQUATION FOR MODELING FLUID-FLOW BETWEEN ROUGH SURFACES
    BROWN, SR
    STOCKMAN, HW
    REEVES, SJ
    [J]. GEOPHYSICAL RESEARCH LETTERS, 1995, 22 (18) : 2537 - 2540
  • [9] Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations
    Brush, DJ
    Thomson, NR
    [J]. WATER RESOURCES RESEARCH, 2003, 39 (04) : SBH51 - SBH515
  • [10] Effects of inertia and directionality on flow and transport in a rough asymmetric fracture
    Cardenas, M. Bayani
    Slottke, Donald T.
    Ketcham, Richard A.
    Sharp, John M., Jr.
    [J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH, 2009, 114