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DOI10.1016/j.advwatres.2020.103612
On the influence of boundary conditions when determining transport coefficients from digital images of heterogeneous media.
Thovert J.-F.; Mourzenko V.V.
发表日期2020
ISSN0309-1708
卷号141
英文摘要Sensitivity to the boundary conditions (BC's) when determining macroscopic transport coefficients by numerical upscaling in finite domains is a well known methodological issue, explored here with the purpose of: quantifying the influence of the BC's in relation with the parameters of the system (porosity, characteristic length scale, conductivity contrast); assessing the level of confidence associated with the predictions; devising criteria to anticipate the risk of serious artifacts, and proposing ways to limit them. The terminology of thermal transfer is used but the developments apply to any transport mechanism governed by a diffusion equation, including conduction, mass diffusion or Darcy flow. Quantitative indicators are defined for a rigorous individual or comparative assessment of conductivity tensors, and used in the analysis of extensive numerical data obtained in tomographic images and model materials, with a broad range of properties. Practical criteria are proposed for the a priori and a posteriori detection of at-risk situations, and a self-diagnosing protocol is proposed to screen out the BC's influence, whenever possible. © 2020 Elsevier Ltd
关键词Boundary conditionsFlow of fluidsTomographyCharacteristic lengthComparative assessmentConductivity tensorsDiffusion equationsMacroscopic transportQuantitative indicatorsTransport coefficientTransport mechanismRisk assessmentboundary conditiondigital imageheterogeneous mediumhydraulic conductivitypermeabilitysamplingtomographytransport processupscaling
语种英语
来源机构Advances in Water Resources
文献类型期刊论文
条目标识符http://gcip.llas.ac.cn/handle/2XKMVOVA/131793
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GB/T 7714
Thovert J.-F.,Mourzenko V.V.. On the influence of boundary conditions when determining transport coefficients from digital images of heterogeneous media.[J]. Advances in Water Resources,2020,141.
APA Thovert J.-F.,&Mourzenko V.V..(2020).On the influence of boundary conditions when determining transport coefficients from digital images of heterogeneous media..,141.
MLA Thovert J.-F.,et al."On the influence of boundary conditions when determining transport coefficients from digital images of heterogeneous media.".141(2020).
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