Analytical solutions considering face advance and time-dependent behavior for back-analysis of convergence measurements in deep circular tunnels under isotropic initial stress state

IF 7 1区 工程技术 Q1 ENGINEERING, GEOLOGICAL International Journal of Rock Mechanics and Mining Sciences Pub Date : 2024-08-20 DOI:10.1016/j.ijrmms.2024.105866
Alec Tristani, Jean Sulem, Lina-María Guayacán-Carrillo
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Abstract

A methodology is presented for the back-analysis of convergence measurements in deep tunnels to determine the constitutive parameters of the surrounding rock mass. Since increasing deformations and stresses with time are due to both the face advance and the time-dependent behavior of the ground, the two effects must be considered during the excavations. To that end, an analytical solution assuming an unlined circular tunnel excavated in a homogeneous isotropic ground under an initial isotropic stress field and assuming a fractional viscoelastic plastic behavior is developed. A second closed-form solution is also derived assuming an instantaneous excavation. Additionally, combining the developed analytical solution that takes into account the progressive face advance and an empirical approach, convergences are back-analyzed based on a least-squares optimization method to calibrate the constitutive parameters of the ground. The presented methodology aims to characterize the long-term behavior of tunnels and offers the advantage of being directly applicable during the excavation phase as soon as convergence measurements are available. Finally, the method is illustrated by two case studies related to the Fréjus road tunnel and the Saint-Martin-la-Porte access gallery (SMP2).

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在各向同性初始应力状态下,对深圆隧道内收敛测量进行反分析时,考虑面前进和随时间变化行为的分析解决方案
本文介绍了一种对深埋隧道中的会聚测量进行反分析的方法,以确定周围岩体的构成参数。由于随着时间的推移,变形和应力不断增加,这既是由于工作面的推进,也是由于地层随时间变化的行为,因此在开挖过程中必须考虑这两种影响。为此,我们开发了一种分析解决方案,假设在初始各向同性应力场下,在均质各向同性地层中开挖一条无衬砌圆形隧道,并假定存在部分粘弹性塑性行为。同时还推导出了第二种闭式解,即假设瞬时开挖。此外,结合已开发的考虑到工作面逐步推进的分析解决方案和经验方法,基于最小二乘优化方法对收敛性进行了反向分析,以校准地层的构成参数。所介绍的方法旨在描述隧道的长期行为,其优点是一旦获得收敛测量结果,就可在挖掘阶段直接使用。最后,该方法通过两个与弗雷瑞斯公路隧道和圣马丁拉波尔特通道(SMP2)相关的案例研究进行了说明。
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来源期刊
CiteScore
14.00
自引率
5.60%
发文量
196
审稿时长
18 weeks
期刊介绍: The International Journal of Rock Mechanics and Mining Sciences focuses on original research, new developments, site measurements, and case studies within the fields of rock mechanics and rock engineering. Serving as an international platform, it showcases high-quality papers addressing rock mechanics and the application of its principles and techniques in mining and civil engineering projects situated on or within rock masses. These projects encompass a wide range, including slopes, open-pit mines, quarries, shafts, tunnels, caverns, underground mines, metro systems, dams, hydro-electric stations, geothermal energy, petroleum engineering, and radioactive waste disposal. The journal welcomes submissions on various topics, with particular interest in theoretical advancements, analytical and numerical methods, rock testing, site investigation, and case studies.
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