Application of a Finite-Discrete Element Method Code for Modelling Rock Spalling in Tunnels: The Case of the Lyon-Turin Base Tunnel

Q1 Mathematics
Daniele Martinelli, Alessandra Insana
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引用次数: 0

Abstract

Brittle failure, or spalling, occurs around openings excavated in hard rock masses with high in situ stresses. It takes place due to the nucleation and growth of cracks around the excavation boundary, induced by the redistribution of stresses following the excavation. Modelling this failure process is a tough challenge. The hybrid finite-discrete element method (FDEM) can overcome the boundary between continuum and discontinuum, capturing emergent discontinuities associated with brittle fracturing processes. In this study, FDEM is applied using a commercial code to show its applicability to model brittle behaviour around deep underground excavations in the case of the Torino-Lyon Base tunnel in three different stress conditions. Except for the hydrostatic condition, cracking is triggered immediately after the excavation. Spalling occurring around the tunnel is quite extended; therefore, an accurately designed support must be installed to prevent blocks from falling from the tunnel boundary. The obtained results are aligned with previous results existing in the literature. However, in this case, a deeper spalling is caused by the shape change due to the gradual stress redistribution. Such a phenomenon underlines the importance of using a code able to identify crack propagation, opening, and the formation of loose blocks that progressively modify the tunnel contour.
应用有限离散要素法代码模拟隧道岩石剥落:里昂-都灵基地隧道案例
脆性破坏或剥落发生在原位应力较大的坚硬岩体开挖口周围。发生这种情况的原因是开挖后应力的重新分布导致开挖边界周围裂缝的成核和生长。对这一破坏过程进行建模是一项艰巨的挑战。有限元-离散元混合法(FDEM)可以克服连续与非连续之间的界限,捕捉与脆性断裂过程相关的突发非连续性。在本研究中,FDEM 被应用于商业代码,以都灵-里昂基地隧道为例,展示了其在三种不同应力条件下对地下深层开挖脆性行为建模的适用性。除静水压条件外,开挖后立即出现裂缝。隧道周围发生的剥落范围相当大;因此,必须安装精确设计的支撑,以防止岩块从隧道边界掉落。获得的结果与文献中已有的结果一致。然而,在这种情况下,由于应力的逐渐再分布导致的形状变化,造成了更深的剥落。这种现象凸显了使用能够识别裂缝扩展、开裂以及逐渐改变隧道轮廓的松散块体形成的代码的重要性。
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
Applied Sciences
Applied Sciences Mathematics-Applied Mathematics
CiteScore
6.40
自引率
0.00%
发文量
0
审稿时长
11 weeks
期刊介绍: APPS is an international journal. APPS covers a wide spectrum of pure and applied mathematics in science and technology, promoting especially papers presented at Carpato-Balkan meetings. The Editorial Board of APPS takes a very active role in selecting and refereeing papers, ensuring the best quality of contemporary mathematics and its applications. APPS is abstracted in Zentralblatt für Mathematik. The APPS journal uses Double blind peer review.
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