arXiv 0905.15072009-05-10physics.flu-dyn

材料对称性对各向异性多孔介质输运系数的影响

Effects of Material Symmetry on the Coefficients of Transport in Anisotropic Porous Media

Jacob Bear, Leonid G. Fel, Yoram Zimmels

备注：: 17 pages

摘要：

本文的目的是突出一些系数的某些功能，出现在各向异性多孔介质中的传输现象的模型，特别是分散系数，第二阶张量D_{ij}，和分散系数，第四阶张量a_{ijkl}，出现在溶质传输模型。尽管我们将重点关注占据空隙空间或其一部分的流体相中溶解化学物质的质量传输，但同样的讨论也适用于描述平流质量通量的模型中出现的传输系数。流体和其他大量物质（例如热量）的扩散传输。耦合过程的情况下，例如，同时传输的热量和质量的化学物种，也被认为是。整个讨论将在宏观水平，在多孔介质域被视为均匀连续。

英文摘要：

The objective of this article is to highlight certain features of a number of coefficients that appear in models of phenomena of transport in anisotropic porous media, especially the coefficient of dispersion, the 2nd rank tensor D_{ij}, and the dispersivity coefficient, the 4th rank tensor a_{ijkl}, that appear in models of solute transport. Although we shall focus on the transport of mass of a dissolved chemical species in a fluid phase that occupies the void space, or part of it, the same discussion is also applicable to transport coefficients that appear in models that describe the advective mass flux of a fluid and the diffusive transport of other extensive quantities, like heat. The case of coupled processes, e.g. the simultaneous transport of heat and mass of a chemical species, are also considered. The entire discussion will be at the macroscopic level, at which a porous medium domain is visualized as homogenized continuum.

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