Research on Stability Evaluation of Perilous Rock on Soil Slope Based on Natural Vibration Frequency

Abstract

Perilous rock instability on the soil slope brings a substantial threat to project operation and even people’s lives. The buried depth of the perilous rock is a challenge to deal with and primarily determines its stability, and the indirect rapid identification of its buried depth is the key to its stability evaluation. The paper aims to find a new and quick method to measure the buried depth of perilous rock on the soil slope and to solve the hard-to-measure buried depth stability evaluation. When the damping ratio is less than one, and the deformation is linear elastic throughout the amplitude range, the potentially perilous rock vibration model may reduce to a multi-degree-of-freedom vibration one. By theoretical deduction, a quantitative relationship is established among the perilous rock mass, the basement response coefficient, the buried depth of the perilous rock, and the natural horizontal vibration frequency. In addition, the accuracy of this relationship is confirmed via numerous indoor experiments, showing that the horizontal vibration frequency of the perilous rock model in one dimension increases as the buried depth increases. Finally, based on the natural vibration frequency and guided by the limit balance model, a stability evaluation model of the perilous rock on the soil slope is constructed. Hence, the example shows that the method is feasible. The research findings are of vital significance for the stability evaluation of the perilous rock on the soil slope and give a novel approach and theoretical foundation for quick identification and monitoring.

Using Public Landslide Inventories for Landslide Susceptibility Assessment at the Basin Scale: Application to the Torto River Basin (Central-Northern Sicily, Italy)

“…In fact, the proposed procedure simply requires, together with a first susceptibility model, a status slope unit check for a small percentage of the study area and systematic mapping in one or more smaller subareas. The study was focused on slide and flow landslide typologies, but the strategies of analysis can also be helpful for increasing landslide archives and related resolution of landslide susceptibility maps for any other type of landslide (such as falls, topples, and deep-seated typologies) with the aim of identifying areas to be analyzed at a larger scale through the application of empirical or analytical models for rockfalls (e.g., [57][58][59]) or to assess the magnitude and deformations rate for other slower and more complex landslides (e.g., [60,61]).…”

Effect of rock porosity on the natural frequency of the sample: theoretical model and experiment

“…Xie et al (2021) established a three-dimensional (3-D) analysis method for the rock vibration, and they proved the effectiveness for the rock stability analysis based on the natural frequency. At present, investigations on the natural frequency of rock primarily concentrate on the field or laboratory scales, such as seismic failure of rock slopes (Song et al 2019a) and rock block's instability (Jia et al 2017(Jia et al , 2019(Jia et al , 2023b, which are characterized by much smaller pores relative to the size of a rock to be studied.…”

Stability Evaluation of Sliding-Type Perilous Rock in Huangzangsi Hydrojunction Project Based on Natural Vibration Frequency

“…Xie et al found that a ground-penetrating radar (GPR) survey can be used to evaluate the slope stability [29]. Du et al and Jia et al further conducted experimental research on dumping perilous rock and found that the natural vibration frequency is closely related to the stability [30][31][32][33]. However, the above research has just started and is in the experimental stage, and the theory has not yet been perfected [34,35].…”