Scaling - a matter of perspectives

In this work, the sample that simulates the inside of an agglomerate is the only one that contains the primary elements, while samples of ascending scale contain only the sample of the immediately smaller scale and its corresponding porosity. We define the relative porosity as the volume fraction occupied by the empty spaces at that scale, ignoring that the pseudo-solid phase (or smaller scale) also contains some porosity. The volume fractions of the solid phase of each sample at different scales can be related mathematically by  

A technique that takes into consideration the different scaling effects and available information can facilitate the reconstruction of structures as this allows a significant reduction in computational resources needed for simulation. Such scales are defined based on different observable structures in scales of different orders of magnitude. In addition, they allow the use of information available before and after the manufacture of CLs. It is for these reasons that reconstruction techniques and their features (Barbosa et al, 201 la 2011b) are used in this chapter. 

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