›› 2011, Vol. 32 ›› Issue (1): 304-308.

• Numerical Analysis • Previous Articles     Next Articles

Analytical study of seepage flow into a lined tunnel in a semi-infinite aquifer

TONG Lei1，XIE Kang-he2，LU Meng-meng2，WANG Kun2   

  1. 1. Zhejiang Province Institute of Architectural Design and Research, Hangzhou 310006, China; 2. MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China
  • Received:2009-05-19 Online:2011-01-10 Published:2011-01-19

PDF (Chinese)

2684

Abstract:

An analytical solution is derived for seepage flow into a lined tunnel in a semi-infinite aquifer by assuming the soil and lining are saturated, homogeneous and isotropic media. Using the conformal mapping, the soil region is transferred into a cirque, and the flow in the soil region, as well as in the lining region, can be described by Laplace equation in a ring domain. The seepage inflow volume and hydraulic head along the tunnel circumference are solved by Fourier method for the Dirichlet problem. The influence of radius, hydraulic conductivity and internal water pressure on the seepage inflow volume and hydraulic head along the tunnel circumference is discussed and compared with numerical simulation. The comparison shows the analytical solution is a simple, convenient and practical calculation for shallow tunnels.

Key words: semi-infinite aquifer, seepage inflow, conformal mapping, analytical solution

CLC Number: 

  • U 451+.2
[1] CHENG Tao, YAN Ke-qin, HU Ren-jie, ZHENG Jun-jie, ZHANG Huan, CHEN He-long, JIANG Zhi-jie, LIU Qiang, . Analytical method for quasi-two-dimensional plane strain consolidation problem of unsaturated soil [J]. Rock and Soil Mechanics, 2020, 41(2): 453-460.
[2] MENG Yu-han, ZHANG Bi-sheng, CHEN Zheng, MEI Guo-xiong, . Consolidation analysis of foundation with sand blankets under ramp loading [J]. Rock and Soil Mechanics, 2020, 41(2): 461-468.
[3] ZHANG Yu-guo, WAN Dong-yang, ZHENG Yan-lin, HAN Shuai, YANG Han-yue, DUAN Meng-meng. Analytical solution for consolidation of vertical drain under vacuum preloading considering the variation of radial permeability coefficient [J]. Rock and Soil Mechanics, 2019, 40(9): 3533-3541.
[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] XIA Cai-chu, LIU Yu-peng, WU Fu-bao, XU Chen, DENG Yun-gang, . Viscoelasto-viscoplastic solutions for circular tunnel based on Nishihara model [J]. Rock and Soil Mechanics, 2019, 40(5): 1638-1648.
[6] XIN Ya-wen, ZHOU Zhi-fang, MA Jun, LI Ming-wei, CHEN Meng, WANG Shan, HU Zun-yue, . A method for determining aquitard hydraulic parameters based on double-tube field test [J]. Rock and Soil Mechanics, 2019, 40(4): 1535-1542.
[7] MENG Yu-han, CHEN Zheng, FENG Jian-xue, LI Hong-po, MEI Guo-xiong, . Optimization of one-dimensional foundation with sand blankets under the non-uniform distribution of initial excess pore water pressure [J]. Rock and Soil Mechanics, 2019, 40(12): 4793-4800.
[8] HUANG Chao-xuan. Research on nonlinear consolidation calculation of foundation treated with prefabricated vertical drains [J]. Rock and Soil Mechanics, 2019, 40(12): 4819-4827.
[9] WU Gang, SUN Hong-yue, FU Cui-wei, CHEN Yong-zhen, TANG Bi-hui，. A mathematical model and its solution for unsteady flow under siphon drainage by fully penetrating well in soft ground [J]. , 2018, 39(9): 3355-3361.
[10] XIA Chang-qing, HU An-feng, CUI Jun, Lü Wen-xiao, XIE Kang-he, . Analytical solutions for one-dimensional nonlinear consolidation of saturated soft layered soils [J]. , 2018, 39(8): 2858-2864.
[11] ZHANG Bing-qiang, WANG Qi-yun, LU Xiao-ying, . Analytical solution for non-Darcian seepage field of a shallow circular tunnel in soft soil [J]. Rock and Soil Mechanics, 2018, 39(12): 4377-4384.
[12] WANG Lei, LI Lin-zhong, XU Yong-fu, XIA Xiao-he, SUN De-an，. Analysis of one-dimensional consolidation of fractional viscoelastic saturated soils with semi-permeable boundary [J]. , 2018, 39(11): 4142-4148.
[13] HU Zhi-feng, CHEN Jian, QIU Yue-feng, LI Jian-bin, ZHOU Xing-tao, . Analytical formula for ground settlement induced by horizontal movement of retaining wall [J]. , 2018, 39(11): 4165-4175.
[14] LI Chuan-xun, WANG Su. An analytical solution for one-dimensional nonlinear consolidation of soft soil [J]. , 2018, 39(10): 3548-3554.
[15] ZENG Gui-sen, Lü Ai-zhong. Analytical solution for shallow circular tunnel under action of tectonic stress [J]. , 2017, 38(S1): 79-86.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] SUN Shu-lin，LI Fang，CHEN Jun. Electrical resistivity measurement for lime-stabilized silt soil[J]. , 2010, 31(1): 51 -55 .
[2] LI Ying-yong，ZHANG Ding-li，ZHANG Hong-bo，SONG Xiu-guang. Research on failure mechanism and effects of prestressed anchor cables for reinforcing slopes[J]. , 2010, 31(1): 144 -150 .
[3] HUANG Qiang-bing，PENG Jian-bing，DENG Ya-hong，FAN Wen. Design parameters of Xi’an metro line 2 tunnel passing through active ground fissure zones[J]. , 2010, 31(9): 2882 -2888 .
[4] WANG Yi-zhong，LI Yong-quan，FU Xu-dong. Finite element calculation of NATM construction of Qiushui mountain tunnel beneath Jihe expressway[J]. , 2011, 32(1): 125 -131 .
[5] PANG Wei，YE Chao-liang，YANG Guang-qing，DING Jun-xia. Study of feasibility of calium carbide dust improved inshore area saline soil for highway subgrade[J]. , 2009, 30(4): 1068 -1072 .
[6] KONG Xiang-xing, XIA Cai-chu, QIU Yu-liang, ZHANG Li-ying, GONG Jian-wu. Study of construction mechanical behavior of parallel-small spacing metro tunnels excavated by shield method and cross diaphragm (CRD) method in loess region[J]. , 2011, 32(2): 516 -524 .
[7] JI Wu-jun. Investigation and analysis of engineering problems for loess tunnels[J]. , 2009, 30(S2): 387 -390 .
[8] CHEN Li-hua , LIN Zhi , LI Xing-ping. Study of efficacy of systematic anchor bolts in highway tunnels[J]. , 2011, 32(6): 1843 -1848 .
[9] WANG Yu ，JIA Zhi-gang ，LI Xiao ，WANG Can ，YU Hong-ming . Fuzzy random reliability analysis of slope based on fuzzy point estimate method[J]. , 2012, 33(6): 1795 -1800 .
[10] DENG Hua-feng，LI Jian-lin，ZHU Min，WANG Kong-wei，WANG Le-hua，DENG Cheng-jin. Experimental research on strength deterioration rules of sandstone under “saturation-air dry” circulation function[J]. , 2012, 33(11): 3306 -3313 .
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