采动应力分布逾渗模型

doi:10.13722/j.cnki.jrme.2020.1174

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摘要采动应力重分布的理论求解是深地工程安全开挖和稳定性维护的力学基石。在全面回顾国内外采动力学模型的基础上，发现依赖弹塑性力学的采动力学理论解优点和缺点共存，优势在于力学单元的普适性严格保证了理论解的严谨性，缺点在于力学单元的连续性定义限制了采动应力模型获得非连续解。引入概率模型或可为采动应力分布求解提供新思路，但单纯引入概率模型获得的采动应力分布解并不能保证解的唯一性。通过对比验证基于Weibull函数、Gumbel函数和Gamma函数3种概率的采动应力分布结果，概率解和实测值之间存在偏差，这种偏差性是概率模型的非唯一性引起的。最后，以裂隙场描述参数连通概率密度为桥梁，通过平行杆模型引入逾渗理论求解采动应力分布，建立了逾渗模型，多个矿区的实测结果和逾渗模型预测值交叉验证，证实采动应力分布逾渗模型可靠且形式简洁。

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	薛东杰1
	2
	3
	张泽朋1
	周宏伟2
	曹志国3
	王路军3
	王俊光4
	路乐乐1
	赵艾博1
	刘奎昌1

关键词 ：采矿工程, 采动应力, 弹塑性理论, 概率模型, 平行杆模型, 逾渗模型

Abstract：The theoretical solution of excavation-induced stress redistribution is the mechanical cornerstone of safe mining and stability maintenance of surrounding rock in deep. Based on a comprehensive review of mechanical models of stress redistribution，it is found that the advantages and disadvantages of theoretical solutions based on elastoplastic model coexist. The advantage is that the universality of the built mechanical element strictly guarantees the rigor of the theoretical solutions，and the disadvantage is that the continuity definition of the mechanical element hinders the obtainment of the discontinuous solution of excavation-induced stresses. Although the introduction of probability models may provide a new idea for solving the mining-induced stress redistribution，the solution by simply introducing the probability model cannot guarantee the uniqueness due to the mapping problem. By comparing and verifying the stress redistributions respectively considering three probability models of Weibull function，Gumbel function and Gamma function，it is found that an unavoidable deviation between the probability model-based solutions and the measured values，which is caused by the non-uniqueness of the probability models. Finally，taking the connectivity probability density of fracture field as a bridge and introducing percolation theory into the parallel bar model，a concise percolation solution of mining-induced stress redistribution is obtained. Comparisons between the measured results of several mining areas and the predicted values of the percolation model verify that the proposed percolation model is reliable and simple in form.

Key words： mining engineering excavation-induced stress elastoplastic model probability model parallel bar model percolation model

引用本文:

薛东杰1，2，3，张泽朋1，周宏伟2，曹志国3，王路军3，王俊光4，路乐乐1，赵艾博1，刘奎昌1. 采动应力分布逾渗模型[J]. 岩石力学与工程学报, 2022, 41(2): 319-335.
XUE Dongjie1，2，3，ZHANG Zepeng1，ZHOU Hongwei2，CAO Zhiguo3，WANG Lujun3，WANG Junguang4，LU Lele1，ZHAO Aibo1，LIU Kuichang1. Percolation model of stress redistribution under excavation. , 2022, 41(2): 319-335.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.1174 或 http://rockmech.whrsm.ac.cn/CN/Y2022/V41/I2/319

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