Study on the Correlation Between Meso-Structure Fractal Characteristics and Macroscopic Parameters of Two Typical Rocks

The meso-structure characteristics of rock affect the macroscopic mechanical behaviors such as its fracture form. In this paper, through the uniaxial compression test and electron microscope scanning(SEM) test of two typical rocks of sandstone and limestone, the fractal characteristics of meso-structure and its influence on the macroscopic damage form are analyzed. The quantitative relation between the fractal dimension and the uniaxial compression strength(UCS) and the modulus of elasticity(E) is established. Results showed that the self-similarity of different lithology rock meso-structures is different. With the magnification of the meso-scanning image, the rock meso-structure fractal dimension is constantly changing, and the trend of sandstone and limestone is decreasing first and then increasing, the trend of the increase of limestone with multiple is slower than that in sandstone. There is a good inverse relationship between uniaxial compression strength and fractal dimension, while elastic modulus and fractal dimension have better power correlation.