复变函数两向不等压矩形巷道稳定性与支护优化研究  

Research on stability and support optimization of rectangular roadways under biaxial unequal pressure using complex variable functions

作　　者：朱洪涛 ZHU Hongtao(CCTEG International Engineering Co.,Ltd.,Beijing 100013,China)

机构地区：[1]中煤科工集团国际工程有限公司,北京100013

出　　处：《煤炭工程》2025年第2期133-141,共9页Coal Engineering

摘　　要：针对矩形巷道断面形状容易造成应力集中这一情况,以王才伙盘煤矿火烧区影响下的3202工作面回风巷道为工程背景,基于复变函数理论建立矩形巷道围岩应力的力学模型,研究得到巷道围岩应力的复变函数解及其塑性区范围,分析了巷道宽高比和侧压系数对应力分布的影响以及影响巷道围岩塑性区发育的因素。在此基础上提出了综合支护方案,即优化锚杆(索)支护、使用工字钢架棚抑制巷道表面变形和注浆提高围岩力学性质等。研究结果表明,矩形巷道围岩应力分布呈明显的非均匀性变化,巷帮肩角部位应力集中现象显著。塑性区发育呈现典型的“X”形分布特征,这种破坏模式与巷道角部区域的应力重分布过程存在显著耦合关系。优化支护方案大幅提高了围岩应力集中区的稳定性,减少了巷道顶板和两帮的变形,有效控制了巷道围岩变形,支护体与围岩之间形成了良好的耦合效果。经现场工程实践验证,采用优化支护方案后,顶板下沉量为37 mm,两帮缩进量为19 mm,控制效果显著。Given the propensity of rectangular roadways to induce stress concentration,the return air roadway of the 3202 working face in Wangcaihuopan Mine was investigated which is affected by the fire area.Employing complex variable function theory,a mechanical model was established for the surrounding rock stress of rectangular roadways and analytical solutions were derived for both stress distribution and plastic zone boundaries.The influences of roadway aspect ratio and lateral pressure coefficient on stress redistribution and plastic zone development were systematically analyzed.A comprehensive support strategy was proposed,integrating optimized bolt-cable support,I-steel arch reinforcement for surface deformation control,and grouting to enhance surrounding rock properties.Key findings reveal that the surrounding rock stress in rectangular roadways exhibits pronounced non-uniformity,with marked stress concentration at shoulder corners.The plastic zone develops in a X-shaped pattern,demonstrating strong coupling with stress redistribution in corner regions.The optimized support scheme substantially improves stress concentration stability,reducing roof subsidence to 37 mm and sidewall convergence to 19 mm,as validated by field measurements.These results confirm enhanced support-surrounding rock coupling and effective deformation control.

关 键 词：围岩应力 矩形巷道 复变函数解法 支护优化 数值模拟 

分 类 号：TD353[矿业工程—矿井建设]