The Evaluation Method of Rock Mass Stability Based on Natural Frequency

Xie, Mowen; Liu, Weinan; Du, Yan; Li, Qingbo; Wang, Hongfei

doi:10.1155/2021/6652960

Cited by 10 publications

(4 citation statements)

References 30 publications

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“…In order to achieve the stability evaluation of the perilous rock, Jia et al (2023aJia et al ( , 2022 found that the natural frequency increases nonlinearly in the horizontal direction with the increasing buried depth of the unstable rock, and they established the quantitative relationship model between the safety factor and natural frequency. 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.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang,

Gu,

Kong

et al. 2024

Preprint

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Not confined to static effects such as permeability, the effect of porosity on the natural frequency of a rock is crucial to explore its dynamic behaviors. In the present work, a cylinder vibration model governed by the Lame-Navier equation is developed to clarify the mechanism of porosity-effect on the natural frequency of a rock. Focusing on the structural difference of the pore, the porosity-effect on the natural frequency for a cylinder model is preliminarily investigated by finite element (FE) simulations, in consideration of ideal straight and conical hole structures. To probe the distribution of real pores, the micro-computed tomography (micro-CT) technique is used to extract the accurate geometry of pores of the digital core, and the results are imported into the FE model for simulation. By introducing the Nur’s model and Krief’s model, the improved cylinder vibration model is able to predict multiple orders of the natural frequency of real rock samples with various porosities, and therefore overcomes the defects of the conventional spring-dashpot model. Verified by the resonant experiment on various rock samples, the results of the FE model and the improved cylinder vibration model show a basically consistent trend, i.e. the natural frequency decreases with the increase of porosity. These findings are beneficial to a wide range of engineering applications such as resonance enhanced drilling (RED) of rocks, high-speed processing of novel porous materials, and oil or gas explorations.

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Section: Introductionmentioning

confidence: 99%

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

Zhang,

Gu,

Kong

et al. 2024

Preprint

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“…Ma et al [ 24 ] created a technique to assess a slope rock mass’s stability using LDV and examined the quantitative correlation between the vibration characteristics and rock mass stability. Several scholars [ 42 , 43 , 44 ] have applied LDV to study unstable rock masses and achieved good results. At present, LDV monitoring technology has not yet been used in the staged damage progress of rocks with different brittleness degrees.…”

Section: Introductionmentioning

confidence: 99%

Study on Staged Damage Behaviors of Rock-like Materials with Different Brittleness Degrees Based on Multiple Parameters

et al. 2023

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Understanding the brittle fracture behavior of rock is crucial for engineering and Earth science. In this paper, based on acoustic emission (AE) and laser Doppler vibration (LDV) monitoring technology, the staged damage behaviors of rock-like materials with different brittleness degrees under uniaxial compression are studied via multiple parameters. The results show that the brittleness degree determines the fracture mode. As the specimen’s brittleness degree increases, the tensile failure increases and shear failure decreases. AE activity is enhanced at the crack damage point. With an increasing specimen brittleness degree, different instability precursor information is shown during the unstable crack growth stage: the AE b value changes from the fluctuating to continuously decreasing state, and the natural frequency changes from the stable fluctuation to upward fluctuation state. The AE b value near the stress drop is the smallest, and it decreases with an increasing brittleness degree. The natural frequency reduction indicates the rock-like fracture. The natural frequency is a symbolic index that reflects staged damage characteristics and predicts the amount of energy released by brittle failure. These findings provide guidelines for rock stability monitoring and provide support for better responses to stability evaluations of rock slopes, rock collapses, and tunnel surrounding rock in engineering.

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“…Du et al simulated the process of landslides through experiments and found that the natural frequency and damping ratio of unstable rock decrease with the decrease in the contact area between unstable rock and bedrock mass [16]. Xie et al proposed a method to calculate the stability coefcient of unstable rock mass based on natural frequencies [17]. Tanaka et al pointed out that the diference in vibration modes of a dangerous rock mass can refect its stability [18].…”

Section: Introductionmentioning

confidence: 99%

Experimental Study on the Vibration Characteristics of Dangerous Rock Mass under Constant Micromotion

Zhang

Xie

Huang

et al. 2023

Advances in Civil Engineering

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In mountainous areas, dangerous rock mass collapse is a serious threat to human life and property safety. However, how to effectively prevent and control the instability of dangerous rock mass is still an urgent unsolved problem. In this study, the dynamic characteristics of dangerous rock mass under constant micromotion were analysed from the perspective of elastic wave propagation. When the slip plane of the dangerous rock mass is damaged, many micropores and cracks will appear in the medium composed of the slip surface. With constant micromotion as the vibration source, the elastic wave propagates to the dangerous rock mass through the damaged slip plane. The high-frequency components of elastic waves scatter in pores and fissures, where energy dissipates. According to this characteristic, a laboratory simulation experiment was designed. In the experiment, the damage process of the slip plane was simulated by the freeze‒thaw process of frozen hydrosol. The experimental analysis showed that the centre frequency of the high-frequency part of the dangerous rock mass model and bedrock mass model decreased as the frozen surface continued to melt. As the dangerous rock mass model and the bedrock mass model continued to fit, the centre frequency of the high-frequency part of the two rock mass models rebounded. This phenomenon showed that the damage degree of the slip plane between the dangerous rock mass and the bed rock mass can be effectively reflected by the centre frequency of the high-frequency part of the two rock mass models. During the experiment, the dangerous rock mass did not slide in the whole process, indicating that the deformation index has difficulty reflecting the stability of the hidden dangerous rock mass. In addition, the application conditions of using the natural frequency characteristics of dangerous rock mass and the scattering characteristics of elastic wave in the damage identification of structural plane were analysed: (1) when the structural plane has macrofracture, the change of natural frequency of dangerous rock mass should be used to analyse the damage degree of structural plane; (2) when there is no macrofracture of the structural plane, the characteristics of elastic wave scattering should be used to analyse the damage degree of the structural plane. This study provided a new idea for the prevention and control of dangerous rock masses and is expected to provide a useful reference for the automation of dangerous rock mass prevention and control.

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The Evaluation Method of Rock Mass Stability Based on Natural Frequency

Cited by 10 publications

References 30 publications

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

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

Study on Staged Damage Behaviors of Rock-like Materials with Different Brittleness Degrees Based on Multiple Parameters

Experimental Study on the Vibration Characteristics of Dangerous Rock Mass under Constant Micromotion

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