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流变岩体隧道围岩-衬砌接触压力解析研究OA

Analytical study on contact pressure between surrounding rock and lining of rheological rock mass tunnel

中文摘要英文摘要

为了预测深埋隧道在流变岩体中的长期稳定性,分析衬砌结构与围岩在时间效应下的接触压力演化规律,开展了流变岩体隧道围岩-衬砌接触压力解析研究.基于复变函数理论,引入广义H-K模型描述围岩的流变行为,建立隧道不同施工步下围岩与衬砌的应力和位移关系;采用Laplace变换将微分方程转化为代数方程进行边界条件式求解,推导出围岩与衬砌间接触压力随时间变化的解析解;结合某隧道地质参数进行解析计算,并与现场监测结果进行比较.结果表明:解析解和现场监测结果数据演变规律基本一致;接触压力的响应时间、大小和监测位置关系显著;拱肩响应最早,接触压力在隧道开挖结束后大约60 d趋于稳定,压力值趋于0.58 MPa;拱腰和拱脚部位接触压力初始快速增加,后续平缓,采用解析解预测拱腰和拱脚接触压力极限值分别趋于0.33 MPa和0.18 MPa.研究结果可为流变围岩隧道衬砌设计与长期力学响应预测提供理论依据.

In order to predict the long-term stability of deep-buried tunnels in rheological rock masses and to analyze the evolution law of contact pressure between the lining structure and the surrounding rock under time-dependent effects,an analytical study on the surrounding rock-lining contact pressure of rheological rock mass tunnel was conducted.Based on complex function theory,a generalized H-K model was introduced to describe the rheological behavior of the surrounding rock.The relationships between stress and displacement of the surrounding rock and the lining under different construction stages were established.The Laplace transform was employed to convert the differential equations into algebraic equations for solving the boundary conditions,and an analytical solution for the time-dependent contact pressure between the surrounding rock and the lining was derived.Combined with geological parameters of a tunnel,the analytical calculation was carried out and compared with field monitoring results.The results indicate that the analytical results show a generally consistent evolutionary trend with the field monitoring data.The response time and magnitude of contact pressure have a significant correlation with the monitoring location.For the arch shoulder,the contact pressure responds the earliest and tends to stabilize at approximately 0.58 MPa about 60 days after the completion of tunnel excavation.At the arch waist and arch foot,the contact pressure increases rapidly at the initial stage and then grows gently,showing a trend of stabilization.The analytical solutions predict that the ultimate contact pressures at the arch waist and arch foot converge to approximately 0.33 MPa and 0.18 MPa,respectively.The findings of this study provide theoretical basis for the design of tunnel linings and the prediction of long-term mechanical responses in rheological rock tunnels.

杨正权;毕钛俊;邓琴;赵斌

云南交投集团投资有限公司,云南 昆明 650000中国科学院武汉岩土力学研究所,湖北 武汉 430071||岩土力学与工程安全全国重点实验室,湖北 武汉 430071中国科学院武汉岩土力学研究所,湖北 武汉 430071||岩土力学与工程安全全国重点实验室,湖北 武汉 430071中国建设基础设施有限公司,北京 100029

隧道工程接触压力流变力学解析解保角变换

tunnel engineeringcontact pressurerheological mechanicsanalytical solutionconformal mapping

《河北工业科技》 2026 (4)

347-354,8

云南省交通运输厅科技创新及示范项目(云交科教[2019]79号)中建基础科技研发课题[CSCIC-2022-KT-(04)]

10.7535/hbgykj.2026yx04007

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