基于近场动力学的窄煤柱宽度优化研究  

Optimization Study on the Width of Narrow Coal Pillar along the Goaf Tunnel with Peridynamics

作　　者：赵世军 章青[2] 张惟昭 缪玉松 赵新波[1] Shijun Zhao;Qing Zhang;Weizhao Zhang;Yusong Miao;Xinbo Zhao(School of Science,Qingdao University of Technology,Qingdao,266520;College of Mechanics and Materials,Hohai University,Nanjing,211100;Xibei Mining Co.,Ltd.,Shandong Energy Group,Xi'an,710018)

机构地区：[1]青岛理工大学理学院,青岛266520 [2]河海大学力学与材料学院,南京211100 [3]山东能源集团西北矿业有限公司,西安710018

出　　处：《固体力学学报》2024年第3期363-378,共16页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(12302264,11932006,52104004)资助。

摘　　要：煤岩体具有极为复杂的非连续变形、非均质性特征,以有限元法为代表的传统数值方法难以准确描述其损伤累积、渐进破坏全过程.基于非局部近场动力学方法(Peridynamics,PD),通过重构本构力函数核函数,推导了相应的微模量函数与临界伸长率.在均匀离散模型中引入用随机预断“键”表征的非均质性,使近场动力学方法能够适用于天然非均质材料与结构的非连续变形破坏分析.以付村煤矿为例,建立了近场动力学数值计算模型,分析了不同煤柱宽度条件下巷道围岩变形、破坏规律以及煤柱破损特征.研究发现:当煤柱宽度为5 m时,巷道煤壁处于挤压变形区边缘,由于支承压力剧烈变化,巷帮变形破损严重;煤柱宽度增大至6 m和7 m时,巷道煤壁逐渐远离挤压变形区,煤柱受到采空区基本顶回转运动的影响相对减弱,巷帮变形和破损量较小;当煤柱宽度继续增大,巷道围岩将进入到应力增高区域,由于外应力场支承压力较大,巷帮变形及破损量会随之增大.综合考虑巷道围岩变形破坏、煤柱破损特征,最终确定煤柱留设宽度为7 m.本文工作表明,提出的煤岩体破损分析的近场动力学模型能够有效描述煤岩体的损伤累积和渐进破坏过程,为沿空掘巷护巷煤柱尺寸优化提供了新的计算工具.Coal-rock mass have extremely complex discontinuous deformation and heterogeneous characteristics.The traditional numerical methods represented by Finite Element Method(FEM)are difficult to accurately describe the whole process of damage accumulation and progressive failure.Based on the no-nlocal Peridynamics(PD)method,the corresponding micro-modulus function and critical elongation are derived by reconstructing kernel function of the constitutive force function.The heterogeneity characterized by random pre-breaking bond is introduced into the homogeneous discrete model,so that the Peridynamics can be applied to the simulation and analysis of deformation and failure of natural heterogeneous materials and structures.Taking Fucun Coal Mine as an example,heterogeneous Peridynamic simulation model is established.The deformation and failure laws of roadway surrounding rock and failure characteristics of coal pillars with different widths are analyzed.It is found that when the width of coal pillar is 5 m,the roadway is at the edge of the extrusion deformation zone.Due to the dramatic change of the abutment pressure,the roadway surrounding rock is seriously deformed and damaged;when the width of coal pillar increases to 6 m and 7 m,the roadway surrounding rock gradually moves away from the extrusion deformation area,the influence of the basic roof rotation movement of the goaf on coal pillar is relatively weak,and the deformation and damage of the roadway are small;when the width of coal pillar continues to increase,the roadway surrounding rock will enter the the stress increases area.Due to the large bearing pressure of the external stress field,the deformation and damage of the roadway will increase.Considering the deformation and damage characteristics of roadway surrounding rock and coal pillar,the reserved width of coal pillar is finally determined to be 7 m.The proposed Peridynamic simulation model provides a new and effective simulation tool for the optimization of coal pillar size in gob-side entry driving.

关 键 词：近场动力学 沿空掘巷 煤柱尺寸 数值模拟 宽度优化 

分 类 号：TD822.3[矿业工程—煤矿开采]