石膏矿老采空区塑性支撑系统的突变失稳分析

doi:10.13722/j.cnki.jrme.2018.0794

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摘要采空区支撑系统稳定性研究是保证石膏矿区安全生产的关键，为此构建塑性区的矿柱–岩梁支撑系统，将岩梁和矿柱分别视为能量释放体和能量耗散体，并运用能量理论构建支撑系统尖点突变模型，得出支撑体系相关的失稳判别条件。研究结果表明：支撑系统失稳是能量释放、耗散与支撑系统变形不协调的结果，当?＞0时，系统能量释放与系统变形协调，支撑系统按路径I由下叶稳态渐进过度到上叶稳态的准静态过程；当?＜0时，由于能量释放与系统变形不能协调，系统会按路径II由下叶稳态突跳到上叶稳态的突变过程，此过程使得多余的能量释放致使支撑系统发生动力学失稳问题。而后对支撑系统几何参数的敏感度进行分析，得出影响因素敏感度大小顺序为：顶板厚度＞塑性区宽度＞矿房跨度＞矿柱宽度＞矿柱高度矿。结合工程实例，根据各区开采几何参数不同对采空区进行分类，并运用突变理论对各类采空区支撑系统稳定性进行分析，得出D类区域为危险采区，与现场调研结果一致。

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	徐晓鼎1
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	周跃进2
	庞顺2
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关键词 ：采矿工程, 塑性区, 突变理论, 敏感性

Abstract：The stability of the goaf support system is the key to safe production in gypsum mines. A pillar-beam support system in plastic zones was constructed，and the beam and pillar were taken as the energy releaser and energy dissipater respectively. A cusp catastrophe model was established based on the energy theory，and the condition of instability of the support system was obtained. The results indicate that the instability of support system is caused by the incompatibility of energy release，energy dissipation and geometric deformation. When ?＞0，the energy released from the support system is compatible with the geometric deformation. The support system experiences a quasi-static process from the static state in the bottom leaf to the static state in the top leaf along Path I. When ?＜0，the energy released from the support system cannot be in tune with the geometric deformation. The support system experiences a catastrophic process along Path II. The evolution from the static state in the bottom leaf to the static state in the top leaf is not progressive，but catastrophic. The redundant energy released in this process leads to the mechanical instability of the support system. The sensitivity of the geometric parameters of the support system was analyzed as well. These parameters are ranked according to their sensitivity from high to low，as is shown below：beam thickness＞plastic zone width＞room span＞pillar width＞pillar height. Based on the actual engineering examples，the goaf was classified according to the geometric parameters. The energy catastrophe theory was applied to analyze the stability of support system of goaf in different classes. The analysis results showed that class D goaf should be labeled as the unstable zone，which was consistent with the result of field research. The energy catastrophe theory is thus shown to demonstrate the non-linear mechanical mechanism of support system instability in room-pillar mining goaf.

Key words： mining engineering plastic zone catastrophe theory sensitivity

引用本文:

徐晓鼎1，2，周跃进2，庞顺2，3. 石膏矿老采空区塑性支撑系统的突变失稳分析[J]. 岩石力学与工程学报, 2018, 37(11): 2548-2555.
XU Xiaoding1，2，ZHOU Yuejin2，PANG Shun2，3. Analysis of catastrophic instability of plastic supporting system in old goaf of gypsum mine. , 2018, 37(11): 2548-2555.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2018.0794 或 http://www.rockmech.org/CN/Y2018/V37/I11/2548

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