2024年4月11日发(作者：)

不同应力路径下含水泥岩崩解破坏跨尺度

分形规律研究

Research on cross-scale fractal patterns of failure in

cemented rocks under different stress paths

The study of rock failure and fractal analysis has been a

topic of great interest in geomechanics and geotechnical

engineering. Understanding the fractal characteristics of

rock failure is crucial for predicting the safety and

stability of underground structures, such as tunnels and

mines. In this context, this paper aims to investigate the

cross-scale fractal patterns of failure in cemented rocks

under different stress paths.

Under different stress paths, the mechanical behavior of

cemented rocks can vary significantly. The response of

rocks to external loading conditions can be influenced by

factors such as confining pressure, pore pressure, and the

orientation of applied stress. These varying conditions can

lead to different failure mechanisms and ultimately affect

the fractal patterns observed during failure.

Fractal analysis provides a quantitative measure for

characterizing complex geometrical patterns that occur in

natural systems. It has been widely used in geotechnical

studies to describe the irregular shapes of soil particles

or fracture surfaces. In this study, we adopt a similar

approach to analyze the fractal dimensions and scaling

behaviors associated with failures in cemented rocks

subjected to various stress paths.

Through experimental testing and image analysis techniques,

we obtain high-resolution images of failed samples under

different stress conditions. By analyzing these images

using fractal analysis methods such as box counting or

power spectral density analysis, we can determine the

fractal dimension values associated with these failures.

The results reveal interesting cross-scale fractal patterns

during rock failure under different stress paths. We

observe that certain stress paths tend to exhibit self-

similarity across multiple scales, while others display

more intricate patterns with varying degrees of complexity.