Analytical solution for dissipation of excess pore water pressure 
and soil consolidation settlement induced by tunneling under
the influence of long-term leakage

ZHANG Zhi-guo; HUANG Mao-song; YANG Xuan

doi:10.16285/j.rsm.2018.0913

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Analytical solution for dissipation of excess pore water pressure and soil consolidation settlement induced by tunneling under the influence of long-term leakage

更新时间：2026-06-25

- Analytical solution for dissipation of excess pore water pressure and soil consolidation settlement induced by tunneling under the influence of long-term leakage
- Vol. 40, Issue 8, Pages: 3135-3144(2019)
- 作者机构：
  
  1. 上海理工大学环境与建筑学院,上海,200093
  2. 中国铁道科学研究院高速铁路轨道技术国家重点实验室,北京,100081
  3. 中国矿业大学深部岩土力学与地下工程国家重点实验室,江苏,徐州,221116
  4. 同济大学地下建筑与工程系,上海,200092
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2018.0913
  CLC： TU457
- Online First：25 August 2019，
  
  Published：2019
- 稿件说明：
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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]. 2019, 40(8): 3135-3144.
DOI：

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]. 2019, 40(8): 3135-3144. DOI： 10.16285/j.rsm.2018.0913.

摘要

基于Terzaghi-Rendulic固结理论，采用保角映射和分离变量法，计算得到隧道衬砌半渗透漏水边界条件下，盾构施工扰动引起的隧道周围土体超孔隙水压力消散解和地表土体固结沉降，通过工程实例进行验证，发现理论方法与实测数据趋势一致；此外，利用参数分析获得了土体固结沉降和超孔隙水压力的分布影响规律。结果表明：衬砌与土体的相对渗透比越大，固结沉降的初始速率越大，但不影响最终收敛值；土体弹性模量越小，最终固结沉降量越大；土体中超孔隙水压力随着时间增加，在隧道开挖后较短时间里以较大幅度逐渐消散，消散到约为初始值的1/10时减幅放缓；距离衬砌外壁越远，土体初始超孔隙水压力越小，其消散速度也越慢。

Abstract

Considering semi-permeable boundary condition and Terzaghi-Rendulic consolidation theory

the dissipation solution of excess pore water pressure and the ground surface consolidation settlement are obtained by using the conformal mapping and separation variable method. The analytical results are compared with the measured results from project cases

which shows good agreement. In addition

the influence laws of the soil consolidation settlement and the excess pore water pressure are obtained via the parameter analysis. The results show that the larger the permeable ratio of soil and lining is

the larger the initial rate of consolidation settlement is

but it has no influence on the final convergence value. The smaller the elastic modulus of soil is

the larger the final consolidation settlement is. The excess pore water pressure gradually increases with time

while it dissipates on a large scale in a short time after the excavation of the tunnel. The speed becomes slow when the value reaches to about one-tenth of the initial value. The longer the distance to the lining is

the smaller the initial excess pore water pressure is

and the slower the corresponding dissipation speed is.

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