In this work, an original and complete systematic topological assessment of anisotropy, connectivity and tortuosity of real 3D porous structures is presented. Several novelties are introduced here, like: the definition of the Average Effective Diffusivity Tensor (AEDT), allowing us to assess the desired topological parameters, the novel concept of connectivity tensor based on the inverse of the (diagonal) tortuosity tensor, the development of a new procedure of digital reconstruction of real 3D structures for CFD purpose, and a novel methodology for the connectivity tensor calculation, which avoids time-dependent diffusivities. After a detailed explanation of methodology and related validation using well-known 3D structures, we analyse two different real digitally-reconstructed 3D structures: LTL zeolite and clinoptilolite. As key-result, the internal voids distribution is characterised in terms of several existing and new topological parameters, all obtained from the mathematical properties of tortuosity and connectivity tensors. Among them, particular useful are the here-defined directionality factors, which indicate the preferential diffusional paths. The proposed approach is relatively easy and can be effectively applied not only to characterise existing materials, but also to design novel ones (in form of catalysts, selective membranes and/or adsorbents) with desired and predictable topological and mass transport properties.
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