基于最大能量耗散率的岩爆倾向性指标研究

doi:10.13722/j.cnki.jrme.2023.0363

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摘要岩爆倾向性判别为隧洞岩爆风险评价提供了基本依据。在分析岩石单轴压缩各阶段能量耗散演化特征的基础上，提出基于最大能量耗散率(耗散能密度时间导数的最大值)的岩爆倾向性评价新指标，从稳定性判定准则、经验和岩爆倾向性定义3个角度阐明其科学合理性。为定量计算所提指标，建立考虑空隙压密和初始损伤的弹脆性损伤本构模型；为验证指标及损伤模型的适用性，开展4种岩石(玄武岩、花岗岩、灰岩、砂岩)在刚性和柔性压力机下的单轴压缩及循环加卸载试验。最后基于正交试验、相关性分析和极差分析，揭示岩爆倾向性的影响因素及不同指标间的内在关系。结果表明：岩石单轴压缩应力–应变曲线峰后阶段存在能量耗散率峰值，该值可作为材料固有稳定性指标评价岩爆倾向性，兼顾了岩石的峰前能量储耗特性和峰后特征；所提弹脆性损伤模型较好反映了岩石单轴加载下的非线性力学行为和内蕴能量演化特征，应力–应变和耗散能密度理论曲线均与试验值吻合良好；不同岩石最大能量耗散率与实际岩爆等级一致，证实了所提指标的可靠性；弹性模量、脆性和初始损伤是岩爆倾向性的主要影响因素，最大能量耗散率指标较好体现了岩石脆性对岩爆倾向性的影响，与剩余弹性能指数的相关性最强(相关系数0.940)。研究成果可为岩爆倾向性的合理评价提供理论依据和参考。

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	张如九1
	张延杰2
	高仝3
	李梅2
	刘耀儒1
	张凯1

关键词 ：岩石力学, 岩爆倾向性, 能量耗散率, 评价指标, 本构模型, 初始损伤

Abstract：Rockburst proneness evaluation provides a basis for rockburst risk assessment in deep tunnels. Based on energy dissipation characteristics of complete stress-strain curve of rocks under uniaxial compression，a new evaluation index for rockburst proneness，the maximum energy dissipation rate(the maximum value of time derivative of dissipated energy density)，was proposed in this study. The rationality of proposed index was explained based on stability criteria，experience，and definition of rockburst proneness. To quantitatively calculate the proposed index，an elastic-brittle-damage constitutive model considering void compaction and initial damage was established. To verify the applicability of the proposed index and damage model，uniaxial compression and cyclic loading and unloading tests were conducted on four different rocks(basalt，granite，limestone and sandstone) under rigid and flexible testing machines. Based on the orthogonal tests，correlation analysis and range analysis，the influencing factors of rockburst proneness and internal relationships between different indices were revealed. The results show that，a maximum energy dissipation rate exists in the post-peak stage of rock stress-strain curve，which can be used as an inherent stability indicator to evaluate rockburst proneness. This indicator can both consider the pre-peak energy storage and dissipation characteristics and post-peak characteristics. The proposed elastic-brittle-damage model effectively describes the nonlinear mechanical behavior and intrinsic energy evolution characteristics of rocks. The theoretical curves of stress-strain and dissipated energy density are in good agreement with experimental values. Calculation results of the maximum energy dissipation rate index for different rocks are consistent with the actual rockburst intensity，verifying the reliability of proposed index. Elastic modulus，brittleness，and initial damage are the main influencing factors of rockburst proneness. The proposed index better reflects the influence of rock brittleness on rockburst tendency， and has the strongest correlation with residual elastic energy index(with the correlation coefficient of 0.940). Research results can provide a scientific basis for the reasonable evaluation of rockburst proneness.

Key words： rock mechanics rockburst proneness energy dissipation rate evaluation index constitutive model initial damage

引用本文:

张如九1，张延杰2，高仝3，李梅2，刘耀儒1，张凯1. 基于最大能量耗散率的岩爆倾向性指标研究[J]. 岩石力学与工程学报, 2023, 42(12): 2993-3009.
ZHANG Rujiu1，ZHANG Yanjie2，GAO Tong3，LI Mei2，LIU Yaoru1，ZHANG Kai1. A novel index of rockburst proneness based on maximum energy dissipation rate. , 2023, 42(12): 2993-3009.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0363 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I12/2993

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