Analytical solutions of noncircular tunnels in transversely isotropic rheological rock masses

IF 7 1区 工程技术 Q1 ENGINEERING, GEOLOGICAL
G.S. Zeng , H.N. Wang , F. Song , A. Rodriguez-Dono , L.R. Alejano
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引用次数: 0

Abstract

In the field of tunnelling applications, it is often found that the rock masses exhibit anisotropy and rheological properties. To optimize the utilization of underground space, the use of noncircular tunnels is often preferred. However, it is important to note that these noncircular tunnels can lead to high-stress concentrations and significant displacements.

This article presents a thorough analytical study on the time-dependent ground responses induced by the excavation of noncircular tunnels in transversely isotropic viscoelastic rock masses. The study considers a comprehensive set of engineering factors, including the viscoelastic characteristics of the surrounding rock, any anisotropic angle, and arbitrary tunnel shapes.

Using the generalized corresponding principle of anisotropic elasticity and anisotropic viscoelasticity, an analytical model is introduced. This model can accurately and swiftly address the problem of deformation and stresses around noncircular tunnels in anisotropic rheological rock masses. The analytical solutions are verified by their good agreement with the Finite Element Method (FEM) results under identical assumptions. Moreover, the qualitative agreement between the analytical solutions and field data further validates the practical application of the analytical solution.

A parametric analysis is then performed to investigate the effects of anisotropy ratio, anisotropy angle, and coefficient of lateral pressure on stresses and displacements.

The proposed analytical solutions can help reveal the particular mechanical mechanism of the time-dependent ground responses due to the combination of rock anisotropy and rheology. Furthermore, they can provide a more accurate prediction of the ground response, which may be useful to optimize the design of tunnel excavation in anisotropic rheological rock masses.

横向各向同性流变岩体中的非圆形隧道的解析解
在隧道应用领域,人们经常发现岩体具有各向异性和流变特性。为了优化地下空间的利用,人们通常倾向于使用非圆形隧道。本文对在横向各向同性粘弹性岩体中开挖非圆形隧道所引起的随时间变化的地面响应进行了深入的分析研究。该研究考虑了一系列综合工程因素,包括围岩的粘弹性特征、任意各向异性角和任意隧道形状。利用各向异性弹性和各向异性粘弹性的广义相应原理,引入了一个分析模型。利用各向异性弹性和各向异性粘弹性的一般相应原理,引入了一个分析模型。该模型可以准确、快速地解决各向异性流变岩体中非圆形隧道周围的变形和应力问题。在相同的假设条件下,分析求解结果与有限元法(FEM)结果的良好一致性验证了这一点。此外,分析解决方案与现场数据之间的定性一致进一步验证了分析解决方案的实际应用。然后进行了参数分析,以研究各向异性比、各向异性角和侧压力系数对应力和位移的影响。此外,它们还能提供更准确的地层响应预测,有助于优化各向异性流变岩体中的隧道开挖设计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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