›› 2012, Vol. 33 ›› Issue (S2): 345-351.

• Numerical Analysis • Previous Articles     Next Articles

Elastic analysis of surrounding rock for underwater tunnels based on functions of complex variables method

YU Li-yuan1, 2, CHEN Xiao-peng3, HAN Li-jun1, WANG Ying-chao2   

  1. 1. State Key Laboratory for Geomechanics&Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China; 2. School of Mechanics & Civil Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 3. Chengdu Hydro China Chengdu Engineering Corporation, Chengdu 610072, China
  • Received:2012-02-05 Online:2012-11-22 Published:2012-12-11

PDF (Chinese)

1401

Abstract: The underwater tunnels can be regarded as shallow tunnels. So the classical problem of an elastic half plane with a circular cavity, loaded arbitrarily on the horizontal boundary can be used to analyse the stress and displacement fields of the surrounding rock for underwater tunnels. As is known to all, it is much more difficult to deal with shallow tunnels than deep tunnels via the analytical way. Using Verruijt’s conformal mapping function, the region of exclusion of a hole in a half plane is tansfered into a cirque. Then the analytic functions can be expanded as Laurent series in this region. The stress and displacement can be solved by the function of complex varibles method founded by Muskhelishvili. The corresponding calculation program is coded by Fortran. As an example, a specific underwater tunnel is analysed by the Fortran calculation program eventually.

Key words: underwater tunnel, function of complex variables, conformal mapping, surrounding rock, stress and displacement

CLC Number: 

  • U 451
[1] JIANG Zhong-ming, LI Peng, ZHAO Hai-bin, FENG Shu-rong, TANG Dong, . Experimental study on performance of shallow rock cavern for compressed air energy storage [J]. Rock and Soil Mechanics, 2020, 41(1): 235-241.
[2] WENG Yong-hong, ZHANG Lian, XU Tang-jin, HUANG Shu-ling, DING Xiu-li, . Safety evaluation on interaction of new plug structure and surrounding rock mass under high water head [J]. Rock and Soil Mechanics, 2020, 41(1): 242-252.
[3] ZHENG Shuai, JIANG An-nan, ZHANG Feng-rui, ZHANG Yong, SHEN Fa-yi, JIANG Xu-dong, . Dynamic classification method of surrounding rock and its engineering application based on machine learning and reliability algorithm [J]. Rock and Soil Mechanics, 2019, 40(S1): 308-318.
[4] ZHANG Zhi-guo, HUANG Mao-song, YANG Xuan, . Analytical solution for dissipation of excess pore water pressure and soil consolidation settlement induced by tunneling under the influence of long-term leakage [J]. Rock and Soil Mechanics, 2019, 40(8): 3135-3144.
[5] GONG Feng-qiang, WU Wu-xing, LI Tian-bin, SI Xue-feng, . Simulation experimental study of spalling failure of surrounding rock of rectangular tunnel of deep hard rock [J]. Rock and Soil Mechanics, 2019, 40(6): 2085-2098.
[6] CUI Qi, HOU Jian-guo, SONG Yi-le. Analyses of restraint of surrounding rock and structural vibration characteristics of underground powerhouse for pumped storage power station [J]. Rock and Soil Mechanics, 2019, 40(2): 809-817.
[7] HOU Gong-yu, LIANG Jin-ping, JING Hao-yong, HU Tao, ZHANG Guang-dong, TAN Jin-xin, YANG Xi, ZHANG Yong-kang, . Acoustic emission characteristics of thick-walled cylinder specimen subjected to triaxial loading during excavation unloading [J]. Rock and Soil Mechanics, 2019, 40(12): 4564-4572.
[8] JIANG Xiong, XU Nu-wen, ZHOU Zhong, HOU Dong-qi, LI Ang, ZHANG Min, . Failure mechanism of surrounding rock of bus-bar tunnels at Lianghekou hydropower station subjected to excavation [J]. Rock and Soil Mechanics, 2019, 40(1): 305-314.
[9] MA Xian-chun, LUO Gang, DENG Jian-hui, SHANGGUAN Li, . Study of anchorage depth of anti-sliding piles for steep-sliding accumulation landslides [J]. Rock and Soil Mechanics, 2018, 39(S2): 157-168.
[10] CUI Guang-yao, QI Jia-suo, WANG Ming-sheng, . Field test study on large deformation control of surrounding rock of cleaved basalt tunnel [J]. Rock and Soil Mechanics, 2018, 39(S2): 231-237.
[11] CHENG Hua, PENG Shi-long, RONG Chuan-xin, Sun Ze-hui, . Numerical simulation and engineering application of grouting reinforcement for surrounding rocks of chamber in deep of 1 000 m by L-shaped boreholes [J]. Rock and Soil Mechanics, 2018, 39(S2): 274-284.
[12] GU Shuan-cheng, ZHOU Pan, HUANG Rong-bin. Stability analysis of tunnel supported by bolt-surrounding rock bearing structure [J]. , 2018, 39(S1): 122-130.
[13] HOU Gong-yu, LI Xiao-rui, LIANG Hong-yao, LIANG Jin-ping, ZHOU Meng-hui, CUI Yong-ke，. Research on proportion of high strength gypsum materials and its application to excavation unloading test of surrounding rock specimen(thick wall cylinder) [J]. , 2018, 39(S1): 159-166.
[14] SUN Ming-she, MA Tao, SHEN Zhi-jun, WU Xu, WANG Meng-shu，. Study of lining sharing surrounding rock pressure in composite lining structure [J]. , 2018, 39(S1): 437-445.
[15] LI Shu-cai, PAN Dong-dong, XU Zhen-hao, LI Li-ping, LIN Peng,. A model test on catastrophic evolution process of water inrush of a concealed karst cave filled with confined water [J]. , 2018, 39(9): 3164-3173.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] REN Song, JIANG De-yi, YANG Chun-he, TENG Hong-wei. Creep tests on shale of cracking position in Gonghe tunnel and simulating it by DEM[J]. , 2010, 31(2): 416 -421 .
[2] LI Rong-tao. A coupled chemoplastic-damage constitutive model for plain concrete subjected to high temperature[J]. , 2010, 31(5): 1585 -1591 .
[3] WANG Xie-qun，ZHANG You-xiang，ZOU Wei-lie，XIONG Hai-fan. Numerical simulation for unsaturated road-embankment deformation and slope stability under rainfall infiltration[J]. , 2010, 31(11): 3640 -3644 .
[4] CHEN Xiang-hao，DENG Jian-hui，CHEN Ke-wen，ZHENG Jun，MENG Fan-li，XU Liang. Stress monitoring and analysis of gravelly soil corewall in high rockfill dam during construction[J]. , 2011, 32(4): 1083 -1088 .
[5] CAO Guang-xu, SONG Er-xiang, XU Ming. Simplified calculation methods of post-construction settlement of high-fill foundation in mountain airport[J]. , 2011, 32(S1): 1 -5 .
[6] . [J]. , 2011, 32(S1): 559 -0564 .
[7] LIU Hua-li , ZHU Da-yong , QIAN Qi-hu , LI Hong-wei. Analysis of three-dimensional end effects of slopes[J]. , 2011, 32(6): 1905 -1909 .
[8] LIU Nian-ping , WANG Hong-tu , YUAN Zhi-gang , LIU Jing-cheng. Fisher discriminant analysis model of sand liquefaction and its application[J]. , 2012, 33(2): 554 -557 .
[9] ZOU Fei1, 2，LI Hai-bo ，ZHOU Qing-chun ，MO zhen-ze ，ZHU Xiao-ming ，NIU Lei ，YANG Feng-wei . Experimental study of influence of joint space and joint angle on rock fragmentation by TBM disc cutter[J]. , 2012, 33(6): 1640 -1646 .
[10] WANG Wei-dong , LI Yong-hui , WU Jiang-bin . Pile-soil interface shear model of super long bored pile and its FEM simulation[J]. , 2012, 33(12): 3818 -3824 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd