1.School of Safety Engineering，North China Institute of Science and Technology，Yanjiao ，China;2.School of Resource and Safety Engineering，China University of Mining and technology(Beijing)，Beijing ，China；3.Beijing Tiandi Huatai Mining Management Co.,Ltd.,Beijing，China

针对埋深大、采掘工程和构造区附近的巷道或硐室围岩会形成蝶形塑性区的问题，采用理论计算和计算机编程的方法从极坐标下圆形孔洞围岩塑性区形成和发展的角度出发，阐述了圆形孔洞围岩塑性区形成的力学机制，分析了圆形孔洞围岩塑性区不同的几何形态和范围，重点研究了蝶形塑性区形成、发展及边界扩张的空间演化规律，并探讨了影响蝶形塑性区分布的关键因素和各因素之间的变化特征对蝶形塑性区的影响程度和工程危害。研究发现：孔洞围岩形成蝶形塑性区后，当埋深、孔半径，内摩擦角和黏聚力参数不变时，随着侧压系数从0.4减小至0.3，蝶形塑性区边界从1.43 m增加至3.22 m，随着侧压系数继续的微小变化从0.3减小至0.2，蝶形塑性区边界从3.22 m呈对角线成倍发展扩张至12.27 m，蝶叶扩张至无限大后消失，其中蝶叶扩展影响因素按程度从大到小依次划分为侧压系数、埋深、孔半径，内摩擦角和黏聚力。研究成果为矿山、水利水电、隧道、油气勘探等深部工程稳定性分析及其控制提供了理论依据。

As for surrounding rock of roadway or chamber of big buried depth,near mining engineering or tectonic zone will appear butterfly plastic zone,the paper uses theoretical calculation and computer programming based on formation and development of plastic zone of circular hole surrounding rock in polar coordinates.It expounds formation mechanical mechanism of plastic zone of circular hole surrounding rock,analyzes different geometry and scope of plastic zone of circular hole surrounding rock,mainly studies formation,development and spatial evolution law of boundary expansion of butterfly plastic zone,and discusses key factors influencing distribution of butterfly plastic zone and influence extent and engineering harm of variation characteristics between the various factors on butterfly plastic zone.The research shows that after hole surrounding rock formed butterfly plastic zone,when the parameters of buried depth,hole radius,angle of internal friction and cohesion of is unchanged,the boundary of butterfly plastic zone increases from 1.43 m to 3.22 m with lateral pressure coefficient decreases from 0.4 to 0.3.With lateral pressure coefficient continue decreasing from 0.3 to 0.2,butterfly plastic zone boundary is diagonally multiplied from 3.22 to 12.27 m,butterfly leaf disappears after expansion to infinity.According to the degree,influencing factors of butterfly leaf expansion is divided into lateral pressure coefficient,buried depth,hole radius,angle of internal friction and cohesion.It provides theoretical basis for stability analysis and control of deep engineering such as mining,water conservancy and hydropower,tunnel,and oil and gas exploration.