Statistical network analysis topology

Therefore, within the frameworks of fractal analysis an increase in network density with reduction in chain statistical flexibility was obtained. The increase in the number of topological fixation points of macromolecules in the glassy state in comparison with the high-elastic state can be predicted by using fractal analysis methods [29,61]. 

In (ref. 37) and in the present work a new simulator of mercury intrusion into and retraction from a three-dimensional chamber-and-throat network is developed. The capillary resistance encountered at entrances to chambers under certain conditions during mercury intrusion, and the snap-off in throats during mercury retraction are taken into account. The effects of geometrical, topological and statistical parameters and of the intrusion and reoiiction contact angles on the form of capillary pressure curves are studied. Comparisons between the actual throat and chamber size distributions and the measured "pore size distributions" (by the convetional method of analysis) are also made. 

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