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倾斜煤层巷道变形破坏机制的复变函数解

Complex function solution for deformation and failure mechanism of inclined coal seam roadway.

作者信息

Xiong Xianyu, Dai Jun, Xinnian Chen, Ouyang Yibo

机构信息

School of Architecture and Civil Engineering, Xi'an University of Science and Technology, Yan'ta Middle Road No.58, Xi'an, 710054, Shaanxi, China.

College of Energy Science and Engineering, Xi'an University of Science and Technology, Xi'an, 710054, Shaanxi, China.

出版信息

Sci Rep. 2022 May 3;12(1):7147. doi: 10.1038/s41598-022-11277-7.

DOI:10.1038/s41598-022-11277-7
PMID:35505073
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9065119/
Abstract

The stressed environment of the inclined coal seam roadway is complex and changeable, and the damage degree of surrounding rock increases, threatening the safe mining of coal mines. In order to take targeted support measures to control the stability of roadway surrounding rock, it is very important to study the stress and deformation characteristics of roadway surrounding rock in inclined coal seam. Therefore, this paper analyzes the deformation and failure law of inclined coal seam roadway according to the theory of complex variable function. It optimizes the solution process and accuracy of the mapping function coefficient and deduces the analytical solution of surrounding rock stress and deformation inclined coal seam roadway. The deformation and failure mechanism of surrounding rock in inclined coal seam roadway is revealed theoretically, and further use numerical simulation and physical simulation tests for supplementary analysis and verification. The results show that the stress and deformation of roadway surrounding rock in inclined coal seam show obvious asymmetric distribution characteristics. The stress and deformation of roadway surrounding rock on the right side are greater than on the left side. The two sides of the roadway, the right side of the roof and the roof angle of the right side, are the key positions of roadway stress concentration and deformation. According to the variation law of stress and deformation distribution of roadway surrounding rock, roadway cyclic deformation and failure theory is put forward. The numerical simulation and physical simulation tests show that the deformation and failure law of roadway is consistent with the theoretical analysis results, and there are differences in numerical values. The cyclic deformation and failure mechanism of roadway in inclined coal seam is verified, which can provide theoretical guidance for roadway support design.

摘要

倾斜煤层巷道的受力环境复杂多变,围岩破坏程度加剧,威胁着煤矿的安全开采。为采取针对性的支护措施来控制巷道围岩稳定性,研究倾斜煤层巷道围岩的应力与变形特征具有重要意义。因此,本文依据复变函数理论分析倾斜煤层巷道的变形破坏规律,优化映射函数系数的求解过程与精度,推导倾斜煤层巷道围岩应力与变形的解析解,从理论上揭示倾斜煤层巷道围岩的变形破坏机理,并进一步采用数值模拟和物理模拟试验进行补充分析与验证。结果表明,倾斜煤层巷道围岩应力与变形呈现明显的非对称分布特征,巷道右侧围岩的应力与变形大于左侧,巷道两侧、右侧顶板及右侧顶角是巷道应力集中与变形的关键部位。根据巷道围岩应力与变形分布的变化规律,提出巷道循环变形破坏理论。数值模拟和物理模拟试验表明,巷道的变形破坏规律与理论分析结果一致,但数值上存在差异,验证了倾斜煤层巷道的循环变形破坏机理,可为巷道支护设计提供理论指导。

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