tudy Of The Evolution Of The Fractal Dimension Of Soil Gains During Compaction

Abstract

The study of the shape and texture of grains (angularity, sphericity and roughness) plays a very
important role in better understanding the mechanical behavior of granular media. This affects their
strength, their compactness, their particle size, etc. However, Euclidean geometry which does not study
irregular real objects cannot completely satisfy this study. This is why we use the fractal dimension to
properly describe a complex structure composed of irregular soil grains. SO; It is necessary to
characterize the shape of the grain with methods of calculating the fractal dimension, such as the area
perimeter method used, which is a number that measures the degree of irregularity and fragmentation of a
grain, before and after each test carried out. Our work is an experimental study carried out in the
laboratory with the Proctor test for the grains of the limestone material. To understand its behavior, it is
important to analyze the correlation between the fractal dimension and the characteristics obtained during
the different Proctor tests. The results obtained show that the variation of the calculated fractal dimension,
corresponding to the crushing effect of the grains, is strongly influenced by their shape, their size, their
particle size distribution, the number of blows, the compaction energy and the number of layers made.
This confirms that the fractal dimension is a very effective tool for measuring and understanding the
physical and mechanical properties of granular materials.