含饱和水封闭孔洞岩石单元的弹塑性应力及变形研究  

Study on Elastic-Plastic Stress and Deformation of Rock Element with Closed Holes Containing Saturated Water

作　　者：王东岳 戚承志 卢春生 李凯锐 郑栋 秦佳秋 Wang Dongyue;Qi Chengzhi;Lu Chunsheng;Li Kairui;Zheng Dong;Qin Jiaqiu(School of Civil and Traffic Engineering,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;School of Civil and Mechanical Engineering,Curtin University,Perth 6845,Australia)

机构地区：[1]北京建筑大学土木与交通工程学院,北京100044 [2]澳大利亚科廷大学土木与机械工程学院,西澳大利亚州珀斯6845

出　　处：《市政技术》2025年第1期119-127,共9页Journal of Municipal Technology

基　　金：国家自然科学基金重点项目(52438007);国家自然科学基金面上项目(12172036);北京建筑大学头雁项目(X24029)。

摘　　要：水的存在会对岩体的力学性质及稳定性产生劣化作用。在地下工程建设过程中,由于不均匀荷载的作用,岩石内的孔洞水常常因受压排水困难而产生封闭孔洞水压力,但是该问题还没有得到研究。为研究封闭孔洞岩石中孔洞水压力对岩石应力及变形的影响,利用弹塑性力学厚壁圆筒理论,以含不可压缩饱和水的圆环形岩石单元为基本模型,推导了该岩石单元在均布荷载作用下的应力应变分布公式及孔洞水压力随半径变化的关系式,确定了封闭孔洞内壁位移限定情况下孔洞水压力的大小。其次,利用屈雷斯卡准则确定了外部压力一定条件下塑性区半径R与孔洞内径a的关系,并推导了该模型的塑性区半径及位移的表达式。最后建立了考虑孔洞水力压裂的ABAQUS有限元模型,获得了岩石单元在水力裂缝贯穿后环向应力的变化趋势。Water will deteriorate the mechanical properties and stability of rock mass.During the process of underground engineering,due to uneven load,the pore water in the rock often produces closed pore water pressure because of the difficulty of pressurized drainage.In order to study the influence of pore water pressure on rock stress and deformation in closed hole rock,the stress-strain distribution formula of rock element under uniform load and the relationship between pore water pressure and radius are derived by the thick-walled cylinder theory of elastic-plastic mechanics based on the circular rock element model with incompressible saturated water.The size of pore water pressure is determined under the condition of limited displacement of inner wall of closed hole.Under certain external pressure,the relationship between the radius R in the plastic zone and the inner diameter a of the hole is determined by the Tresca criterion.The expressions of the radius and displacement of the model in the plastic zone are derived.Finally,the ABAQUS finite element model is established considering the hydraulic fracturing of the hole to obtain the variation trend of the circumferential stress of the rock element after the hydraulic fracture is penetrated.

关 键 词：弹塑性分析 孔洞水压 水力压裂 水-岩作用 损伤半径 

分 类 号：TU452[建筑科学—岩土工程] O344.3[建筑科学—土工工程]