›› 2017, Vol. 38 ›› Issue (10): 2923-2930.doi: 10.16285/j.rsm.2017.10.020

• 基础理论与实验研究 • 上一篇    下一篇

石膏矿矿柱-护顶层支撑体系的流变力学模型分析

夏开宗1, 2,陈从新1,刘秀敏1,宋许根1, 2,蒋玄苇1, 2,周意超1, 2   

  1. 1. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,湖北 武汉 430071;2. 中国科学院大学,北京 100049
  • 收稿日期:2015-12-16 出版日期:2017-10-10 发布日期:2018-06-05
  • 通讯作者: 宋许根,男,1992年生,硕士研究生,主要从事边坡稳定性、地下采矿稳定性等方面的研究工作。E-mail: songxugen@qq.com E-mail:xiakaizong1988@sina.com
  • 作者简介:夏开宗,男,1988年生,博士研究生,主要从事边坡稳定性、地下采矿稳定性等方面的研究工作。
  • 基金资助:

    国家自然科学基金面上项目(No. 51274188)。

Rheological mechanical model of pillar-protective roof supporting system in gypsum mines

XIA Kai-zong1, 2, CHEN Cong-xin1, LIU Xiu-min1, SONG Xu-gen1, 2, JIANG Xuan-wei1, 2, ZHOU Yi-chao1, 2   

  1. 1. State Key Laboratory of Geomechanics and Geolechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China; 2. University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2015-12-16 Online:2017-10-10 Published:2018-06-05
  • Supported by:

    This work was supported by the General Program of National Natural Science Foundation of China (51274188).

摘要: 采用房柱法开采石膏矿体,将石膏矿柱简化为满足西原模型的黏弹塑性体流变模型,采空区上部留设的护顶层简化为弹性矩形薄板,建立了石膏矿矿柱-护顶层支撑体系的流变力学体模型。在此模型的基础上推导了矿柱支撑下采空区护顶层受流变作用的挠度微分方程,并根据其在不同阶段的边界条件采用伽辽金方法对该微分方程进行了求解。研究结果表明:当作用在矿柱上的应力? 大于极限摩阻力?s时,石膏矿柱的塑性流变大变形将随时间逐渐增大,极易导致石膏矿柱-护顶层支撑体系破裂直至坍塌;所建立的考虑矿柱流变特性的石膏矿采空区矿柱-护顶层支撑体系力学模型,可以对支撑体系的稳定时间进行预测。

关键词: 采矿工程, 石膏矿, 矿柱, 护顶层, 稳定时间

Abstract: In this study, a rheological mechanical model was developed for the pillar-protective roof system in gypsum mines. The gypsum pillar was considered as a visco-elastoplastic body in the rheological model satisfying the Nishihara model, and the pre-setting protective roof on the top of the goaf was simplified as an elastic rectangular sheet. On the basis of the established model, a deflection differential equation was derived for the stabilization time of protective roof under the support of the pillar. Besides, a solution of Galerkin method was applied to the equation in accordance with the boundary conditions of the protective roof at three stages. When the stress ? on the pillar is greater than the limit friction resistance ?s , the plastic rheological deformation of the pillar gradually increases with time, which eventually results in the failure of the pillar-protective roof system. Based on a case study, the proposed mechanical model can forecast the stable time of the roof rock in the pillar-protective roof system of mined-out area by considering the rheological behaviour of pillars.

Key words: mining engineering, gypsum mine, pillar, protective roof, stable time

中图分类号: 

  • O 319. 56

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