基于尖点突变模型巷道层状围岩失稳机制及判据研究

发布时间：2018-04-15 04:17

本文选题：非线性 + 层状围岩　；参考：《煤炭学报》2017年06期

【摘要】：巷道顶部围岩受力系统是高度非线性的复杂大系统,尤其是层状围岩的突变失稳问题更是目前实际工程中的难点和科学研究的重点。在基于层状围岩稳定性地质力学模型和势能函数的基础上,建立了弯折失稳破坏的尖点突变模型,注重研究系统状态发生突变时外界的控制条件,主要阐述非线性系统从连续渐变状态走向系统性质的突变,并据此分析了层状围岩突变失稳破坏过程中的能量转化发生机理。基于定态曲面方程和分支曲线方程,推导得出系统失稳的充要力学条件,建立了符合实际的岩体破坏分析方法和失稳判据,揭示围岩的稳定性主要由外力(P,q),岩体的弹性模量(E),容重(γ_c),层间极限剪应力(p_t)以及几何形态(l,h)控制,并提出了防护建议。结合矿区巷道围岩实例,运用尖点突变失稳判据预测分析结果与实际情况相符合。
[Abstract]:The mechanical system of the surrounding rock at the top of the roadway is a complex and large system with high nonlinearity, especially the sudden instability of the layered rock is a difficult point in the practical engineering and the focus of scientific research at present.Based on the geo-mechanical model and potential energy function of the stability of layered surrounding rock, the cusp catastrophe model of buckling failure is established, and the external control conditions when the system states change are studied.This paper mainly describes the transition of nonlinear system from the state of continuous gradual change to the catastrophe of system property, and then analyzes the mechanism of energy transformation in the process of sudden instability and failure of layered surrounding rock.Based on the steady surface equation and bifurcation curve equation, the necessary mechanics conditions of system instability are derived, and the rock mass failure analysis method and instability criterion are established.It is revealed that the stability of the surrounding rock is mainly controlled by the external force, the elastic modulus of the rock mass, the bulk density of the rock mass, the interlayer ultimate shear stress and the geometric shape of the rock mass, and some protection suggestions are put forward.Combined with the example of surrounding rock of roadway in mining area, the prediction and analysis result of sudden point instability criterion is in accord with the actual situation.
【作者单位】：成都理工大学地质灾害防治与地质环境保护国家重点实验室;
【基金】：国家自然科学基金资助项目(51208069) 四川省应用基础研究计划资助项目(2014JY0083)
【分类号】：TD322

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