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

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