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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (11): 2227-2234    DOI: 10.3785/j.issn.1008-973X.2023.11.010
环境与土木工程     
基于分数阶模型的隧道周围土体非线性流变固结分析
胡安峰1,2(),姜浩1,3,肖志荣4,*(),谢森林1,龚昭祺5,李文乾6
1. 浙江大学 滨海和城市岩土工程研究中心，浙江 杭州 310058
2. 浙江大学 平衡建筑研究中心，浙江 杭州 310058
3. 浙江大学 建筑设计研究院有限公司，浙江 杭州 310028
4. 浙江科技学院 土木与建筑工程学院，浙江 杭州 310023
5. 浙江省建筑设计研究院，浙江 杭州 310006
6. 中铁十局集团城市轨道交通工程有限公司，广东 广州 511400
Nonlinear rheological consolidation analysis of soil around tunnel based on fractional order model
An-feng HU1,2(),Hao JIANG1,3,Zhi-rong XIAO4,*(),Sen-lin XIE1,Zhao-qi GONG5,Wen-qian LI6
1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
2. Center for Balance Architecture, Zhejiang University, Hangzhou 310058, China
3. The Architectural Design and Research Institute of Zhejiang University Co. Ltd, Hangzhou 310028, China
4. School of Civil Engineering and Architecture, Zhejiang University of Science and Technology, Hangzhou 310023, China
5. Zhejiang Province Architectural Design and Research Institute, Hangzhou 310006, China
6. Urban Rail Traffic Engineering Branch of China Railway No.10 Engineering Group, Guangzhou 511400, China
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摘要：

考虑隧道周围饱和软土压缩性和渗透性非线性变化，建立二维非线性固结控制方程，引入分数阶Merchant模型考虑土体流变特性影响，采用Douglas-Jone格式的交替隐式差分法对方程进行求解. 通过与现有解析解进行对比，验证了本研究解的正确性. 利用得到的差分解进行参数分析，研究隧道周围饱和软土的非线性流变固结特性. 结果表明，隧道渗漏模式、初始渗透系数和渗透指数对土体固结速率影响较大，透水通道越多、初始渗透系数越大、渗透指数越小，土体固结速率越快，而压缩指数对固结速率的影响较小；渗透各向异性系数对固结速率有较大影响，在进行固结性状分析时，应当充分考虑土体不同方向渗透系数的差异；当考虑土体流变特性时，土体固结速率显著减小，但当初始渗透系数增大到一定程度时，土体流变特性对土层固结速率的影响可以忽略.
关键词： 隧道;  饱和软土;  非线性流变固结;  有限差分法;  分数阶模型    
Abstract:

The two-dimensional nonlinear consolidation control equation was established, considering the nonlinear changes of compressibility and permeability of the saturated soft soil around the tunnel. The fractional-order Merchant model was introduced to consider the influence of soil rheological properties, and the alternating implicit difference method in Douglas-Jone format was used to solve the equation. The correctness of the solutions was verified by the comparison with the existing analytical solutions. The nonlinear rheological consolidation characteristics of the saturated soft soil around the tunnel were investigated by using the obtained difference decomposition for parametric analysis. Results show that the tunnel leakage pattern, initial permeability coefficient, and permeability index have a large influence on the consolidation rate of the soil, and the more the permeable channels, the larger the initial permeability coefficient, and the smaller the permeability index, the faster the consolidation rate of the soil, while the compression index has a smaller influence on the consolidation rate. The coefficient of permeability anisotropy has a significant effect on the rate of consolidation, and the difference in permeability coefficients in different directions of the soil should be fully considered in the analysis of consolidation properties. When considering the rheological properties of the soil, the consolidation rate of the soil slows down significantly, but when the initial permeability coefficient increases to a certain degree, the effect of the rheological properties of the soil on the consolidation rate of the soil layer can be ignored.
Key words: tunnel    saturated soft soil    nonlinear rheological consolidation    finite difference method    fractional order model
收稿日期: 2022-12-29 出版日期: 2023-12-11
CLC:  TU 43  
基金资助: 国家自然科学基金资助项目(52378419, 51978612)
通讯作者: 肖志荣     E-mail: anfenghu@zju.edu.cn;100106@zust.edu.cn
作者简介: 胡安峰（1974—），男，教授，从事桩基工程、软黏土力学、近海岩土工程及深度学习理论在岩土工程中的应用研究. orcid.org/0000-0002-3278-0238. E-mail： anfenghu@zju.edu.cn
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引用本文:

胡安峰,姜浩,肖志荣,谢森林,龚昭祺,李文乾. 基于分数阶模型的隧道周围土体非线性流变固结分析[J]. 浙江大学学报(工学版), 2023, 57(11): 2227-2234.

An-feng HU,Hao JIANG,Zhi-rong XIAO,Sen-lin XIE,Zhao-qi GONG,Wen-qian LI. Nonlinear rheological consolidation analysis of soil around tunnel based on fractional order model. Journal of ZheJiang University (Engineering Science), 2023, 57(11): 2227-2234.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.11.010    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I11/2227

图 1  隧道周围饱和软土非线性流变固结计算模型
图 2  任一时间步下模型网格示意图
参数 数值 参数 数值
h/m 11 H/m 30
r2/m 3.10 u0/kPa 30
r1/m 2.75 Cc 0.25
ks/(m·s?1) 5.40×10?9 Ck 0.25
κ 0.018 γs/(N·m?3) 18
B/m 25 e0 1.40
表 1  模型几何参数和物理参数
图 3  本研究解与已有解析解对比
图 4  盾构管片渗漏示意图
图 5  隧道渗漏模式影响下的固结速率对比
图 6  渗透各向异性影响下的固结速率对比
图 7  初始渗透系数影响下的固结速率对比
图 8  渗透指数影响下的固结速率对比
图 9  压缩指数影响下的固结速率对比
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