适于富水区域围岩长期稳定性的蠕变模型研究  

Research on the Creep Model for the Long-Term Stability of Surrounding Rock in Water-Rich Areas

作　　者：朱航宇 李剑光[1] 杨均红 胡懿成 辛在平 Zhu Hangyu;Li Jianguang;Yang Junhong;Hu Yicheng;Xin Zaiping(College of Electromechanical Engineering,Qingdao University of Science and Technology,Qingdao 266042,China)

机构地区：[1]青岛科技大学机电工程学院,青岛266042

出　　处：《科技通报》2025年第4期73-79,85,共8页Bulletin of Science and Technology

基　　金：山东省自然科学基金项目(ZR2019MEE082)。

摘　　要：为研究适于富水区域围岩长期稳定性计算的蠕变模型,本文在岩石流变理论的基础上,结合渗流力学原理,以及不同地应力和孔隙水压对岩石蠕变及岩体变形的影响,建立了考虑孔隙水压的巷道围岩力学模型。在一定的假设条件下,对力学模型进行解析,得到轴向应力、应变和位移分布的数学模型。进一步通过弹性解答和拉普拉斯变换得到黏弹性力学与静弹性力学的对应性原理。将岩土流变力学理论与渗流力学原理相结合,利用弹性力学基本方程、蠕变方程和有效应力原理,推导出拓展的广义开尔文模型作为本构方程。将孔隙水压引入到围岩蠕变方程中,得到了不同地应力与孔隙水压共同作用下围岩蠕变的统一解析解。并与既有工程应用算例验证,反映出了新模型的优势。This paper investigates a creep model applicable to the long-term stability calculation of surrounding rocks in water-rich areas,on the basis of the theory of rock rheology,combined with the principles of seepage mechanics and the influences of different in-situ stresses and pore water pressures on rock creep and rock mass deformation,a mechanical model of roadway surrounding rocks considering pore water pressure is established.Under certain assumed conditions,the mechanical model is analyzed to obtain the mathematical models of axial stress,strain,and displacement distribution.Furthermore,through elastic solutions and Laplace transformation,the correspondence principle between viscoelastic mechanics and static elastic mechanics is obtained.By integrating the theory of rheology of rock and soil with the principles of seepage mechanics,using the basic equations of elastic mechanics,the creep equation,and the principle of effective stress,an extended generalized Kelvin model is derived as the constitutive equation.The pore water pressure is introduced into the creep equation of the surrounding rocks,and a unified analytical solution for the creep of the surrounding rocks under the combined action of different in-situ stresses and pore water pressures is obtained.The new model is verified by comparison with existing engineering application cases,reflecting its advantages.

关 键 词：富水区域 巷道围岩 孔隙水压 蠕变 长期稳定性 

分 类 号：TU452[建筑科学—岩土工程]