瞬态P波扰动下深埋圆形复合衬砌引水隧洞动力响应解析解及影响因素研究Analytical Solution and Influencing Factors of Dynamic Response of Deep-buried Diversion Tunnel with Circular Composite Lining under Transient Disturbance by P-wave
李梅,陆宇嘉,梅万全,韩高升,陈光海,赵明生,柯昌均,任高峰
摘要(Abstract):
爆破开挖产生的扰动P波会影响隧道的稳定性,引水隧洞里充满了水,其隧道围岩动力响应解析解求法与常规无水隧道的求法势必不一样。目前现有解析解研究多集中在稳态解和单衬砌隧道,较少同时考虑存在复合衬砌隧道和有水的情况,因此,开展瞬态P波扰动下深埋圆形复合衬砌引水隧洞稳定性瞬态响应研究,将隧道内流体视作另一种介质,隧道与衬砌之间视为非理想接触面,结合傅里叶合成技术、波函数展开法及梯形求积公式对隧道围岩瞬态响应进行理论求解;通过与既有文献结果对比,验证了方法的有效性;进而分析围岩泊松比、非理想界面模型的弹性系数以及扰动荷载加载时间对动应力集中系数的影响。研究结果表明:动力扰动过程中,顶底板产生显著的压应力集中,两帮出现显著的拉应力集中;随着泊松比增大,两帮由拉应力集中转化为压应力集中,顶底板压应力集中逐渐减弱;围岩衬砌接触较差时,隧道围岩应力时程响应曲线出现显著振荡;随着界面弹性系数增大,非理想界面模型的动力响应收敛于理想界面模型的响应;随着爆破荷载作用时间增加,顶底板处的压应力峰值先增大,两帮处的拉应力峰值先减小,最后均趋向稳定。
关键词(KeyWords): 扰动P波;复合衬砌引水隧洞;瞬态响应;傅里叶合成技术;波函数展开法
基金项目(Foundation): 湖北省技术创新专项重大项目(2022BEC040)近距离多层磷矿优化开采碳排放核算关键技术研发;; 国家自然科学基金(52064003)~~
作者(Author): 李梅,陆宇嘉,梅万全,韩高升,陈光海,赵明生,柯昌均,任高峰
参考文献(References):
- [1] 李兴华,龙源,纪冲,等.爆破地震波作用下既有圆形隧道衬砌动应力集中系数分析[J].岩土力学,2013,34(8):2218-2224.[1] LI Xing-hua,LONG Yuan,JI Chong,et al.Analysis of dynamic stress concentration coefficient of lining of existing circular tunnel under blasting seismic wave[J].Rock and Soil Mechanics,2013,34(8):2218-2224.(in Chinese)
- [2] 付佳,梁建文,杜金金.平面 SH 波激励下的土-隧道动力相互作用的解析解[J].岩土工程学报,2018,38(4):558-598.[2] FU Jia,LIANG Jian-wen,DU Jin-jin.Analytical solution of soil-tunnel dynamic interaction under planar SH wave excitation[J].Chinese Journal of Geotechnical Engineering,2018,38(4):558-598.(in Chinese)
- [3] (美)鲍亦兴,(美)毛昭宇,刘殿魁,等.弹性波衍射与动态应力集中[J].北京:科学出版社,1993.[3] BAO,MAO,LIU Dian-kui,et al.Elastic wave diffraction and dynamic stress concentration[J].Beijing:Science Press,1993.(in Chinese)
- [4] 王长柏,李海波,周青春,等.P 波作用下深埋隧道动应力集中问题参数敏感性分析[J].岩土力学,2011,32(3):775-780.[4] WANG Chang-bai,LI Hai-bo,ZHOU Qing-chun,et al.Parameter sensitivity analysis of dynamic stress concentration problem of deep buried tunnel under P wave action[J].Rock and Soil Mechanics,2011,32(3):775-780.(in Chinese)
- [5] 丁海滨,徐长节,童立红,等.P波作用下饱和土中深埋圆形复合式衬砌隧道动应力响应研究[J].计算力学学报,2018,35(5):589-596.[5] DING Hai-bin,XU Chang-jie,TONG Li-hong,et al.Study on dynamic stress response of deep-buried circular composite lining tunnel in saturated soil under P wave action[J].Chinese Journal of Computational Mechanics,2018,35(5):589-596.(in Chinese)
- [6] 王帅帅,高波.平面P波入射下深埋圆形复合式衬砌隧道抗减震机理研究[J].地震工程学报,2016,38(2):159-165.[6] WANG Shuai-shuai,GAO Bo.Study on seismic absorption mechanism of deep-buried circular composite lining tunnel under planar P wave incidence[J].Journal of Earthquake Engineering,2016,38(2):159-165.(in Chinese)
- [7] 陶明,向恭梁,赵瑞.深埋引水隧洞对应力波的散射与动应力集中[J].应用力学学报,2022,39(5):859- 868.[7] TAO Ming,XIANG Gong-liang,ZHAO Rui.Scattering of stress waves and dynamic stress concentration in deep buried diversion tunnels[J].Chinese Journal of Applied Mechanics,2022,39(5):859- 868.(in Chinese)
- [8] XIANG Gong-liang,TAO Ming,ZHAO Rui,et al.Dynamic response of water-rich tunnel subjected to plane P wave considering excavation induced damage zone[J].Underground Space,2024,15:113-130.
- [9] TAO Ming,XIANG Gong-liang,ZHAO Rui,et al.Scattering of P-wave and transient response around a fluid-filled cavity in an elastic medium[J].Journal of Central South University,2023,30(2):568-583.
- [10] 李梅,高鑫鑫,梅万全,等.平面爆破P波扰动下深埋圆形衬砌隧道瞬态动力响应解析解研究[J].爆破,2022,39(3):33- 40.[10] LI Mei,GAO Xin-xin,MEI Wan-quan,et al.Study on transient dynamic response of deep buried circular lining tunnel under P-wave disturbance of plane blasting[J].Blasting,2022,39(3):33- 40.(in Chinese)
- [11] MEI Wan-quan,LI Mei,PAN Peng-zhi,et al.Blasting induced dynamic response analysis in a rock tunnel based on combined inversion of Laplace transform with elasto-plastic cellular automaton[J].Geophysical Journal International,2021,225(1):699-710.
- [12] 丁三毛.考虑地应力影响的深埋圆形管道在爆破P波作用下的动力响应[J].爆破,2023,40(3):177-184.[12] DING San-mao.Dynamic response of deeply buried circular pipeline under blasting P wave considering the influence of in-situ stress[J].Blasting,2023,40(3):177-184.(in Chinese)
- [13] 陶明,姚靖,李夕兵.平面P波入射具有不完美界面圆形夹塞的动态响应特性[J].爆破,2022,39(3):25-32.[13] TAO Ming,YAO Jing,LI Xi-bing.Dynamic response characteristics of circular plug with imperfect interface incident of planar P wave[J].Blasting,2022,39(3):25-32.(in Chinese)
- [14] YI Chang-ping,ZHANG Ping,DANIEL Johansson,et al.Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves[J].Computers and Geotechnics,2014,55:165-171.
- [15] LU Shi-wei,ZHOU Chuan-bo,ZHANG Zhen,et al.Particle velocity response of surrounding rock of a circular tunnel subjected to cylindrical P-waves[J].Tunnelling and Underground Space Technology,2019,83:393- 400.
- [16] 徐叶勤,李梅,姚俊伟,等.爆破荷载对含软弱夹层隧道围岩稳定性和变形破坏特征的影响[J].爆破,2020,37(2):25- 41.[16] XU Ye-qin,LI Mei,YAO Jun-wei,et al.Effect of blasting load on stability and deformation and failure characteristics of surrounding rock of tunnel with weak interlayer[J].Blasting,2020,37(2):25- 41.(in Chinese)
- [17] TAO M,ZHAO H T,LI Z W,et al.Analytical and numerical study of a circular cavity subjected to plane and cylindrical P-wave scattering[J].Tunnelling and Underground Space Technology,2020,95:103143.
- [18] LI Xi-bing,LI Chong-jin,CAO Wen-zhou,et al.Dynamic stress concentration and energy evolution of deep-buried tunnels under blasting loads[J].International Journal of Rock Mechanics and Mining Sciences,2018,104:131-146.
- [19] MEI Wan-quan,XIA Yuan-you,PAN Peng-zhi,et al.Transient wave-induced dynamic responses of a circular composite-lined tunnel with imperfect interface[J].Waves in Random and Complex Media,2022:1-23.
- [20] 王帅帅,高波.隧道设置减震层减震机制研究[J].岩石力学与工程学报,2016,35(3):592- 603.[20] WANG Shuai-shuai,GAO Bo.Study on damping mechanism of seismic absorbing layer in tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(3):592- 603.(in Chinese)