Efficient flow and transport simulations in reconstructed 3D pore geometries

被引:92
作者
Zaretskiy, Yan [1 ]
Geiger, Sebastian [1 ]
Sorbie, Ken [1 ]
Foerster, Malte [2 ]
机构
[1] Heriot Watt Univ, Inst Petr Engn, Edinburgh EH14 4AS, Midlothian, Scotland
[2] Fraunhofer Inst Algorithms & Sci Comp, D-53754 St Augustin, Germany
基金
英国工程与自然科学研究理事会;
关键词
Pore-scale modeling; Finite element; Finite volume; Solute transport; Navier-Stokes equation; Algebraic multigrid; LATTICE BOLTZMANN METHOD; POROUS-MEDIA; FINITE-ELEMENT; HYDRODYNAMIC DISPERSION; MULTIPHASE FLOW; 2-PHASE FLOW; FLUID-FLOW; DIFFUSION; PRESSURE; MODELS;
D O I
10.1016/j.advwatres.2010.08.008
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
Upscaling pore-scale processes into macroscopic quantities such as hydrodynamic dispersion is still not a straightforward matter for porous media with complex pore space geometries. Recently it has become possible to obtain very realistic 3D geometries for the pore system of real rocks using either numerical reconstruction or micro-CT measurements. In this work, we present a finite element-finite volume simulation method for modeling single-phase fluid flow and solute transport in experimentally obtained 3D pore geometries. Algebraic multigrid techniques and parallelization allow us to solve the Stokes and advection-diffusion equations on large meshes with several millions of elements. We apply this method in a proof-of-concept study of a digitized Fontainebleau sandstone sample. We use the calculated velocity to simulate pore-scale solute transport and diffusion. From this, we are able to calculate the a priori emergent macroscopic hydrodynamic dispersion coefficient of the porous medium for a given molecular diffusion D-m of the solute species. By performing this calculation at a range of flow rates, we can correctly predict all of the observed flow regimes from diffusion dominated to convection dominated. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1508 / 1516
页数:9
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