了解差应力和断裂几何形状对晶体岩石爆破诱发损伤的影响:一种数值方法

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-02-23 DOI:10.1007/s40571-024-00722-1
Guibin Wang, Huandui Liu, Junyue Zhang, Shiwan Chen
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引用次数: 0

摘要

本研究采用数值模拟的方法,仔细研究已有裂缝和原位应力状态对爆破诱发裂缝在断裂岩石中扩展的影响。断裂岩石的地质力学行为是通过基于颗粒的离散元模型模拟的,该模型的颗粒是根据实际岩石样本(特别是北山花岗岩)的粒度分布,通过 Voronoi tessellation 方案构建和组装的,它捕捉了动态加载下的固体振动,并真实地响应了裂缝生长和断裂位移。此外,还利用斯涅尔定律和断裂力学验证了模型的可靠性。基于该模型,研究了应力状态和断裂结构(如单一孤立断裂和两个相互作用断裂)对损伤演变的影响。结果表明,当差分应力与爆破波对齐(或垂直)时,在大多数情况下会放大(或减小)爆破波对岩体的破坏作用。差应力对爆破波的影响类似于爆破波振幅的增大(或减小)。当压差应力超过拉裂应力时,无论爆破波与压差应力之间的角度如何,岩石都会因产生塑性区域而破坏加剧。同时,对两条相互作用裂缝的研究表明,裂缝几何形状的不同会导致试样产生不同的应力集中和阴影区。这会改变裂缝发展的位置和范围,最终影响岩石的强度。我们的模拟结果为理解和描述通过钻探和爆破方法获得的断裂结晶岩中地下开挖周围的开挖破坏区提供了重要见解,也为动态载荷下已建邻近结构提供了安全预测。
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Understanding the effect of differential stress and fracture geometry on blast-induced damage in crystalline rocks: a numerical approach

This study employs numerical simulations to scrutinize the influence of pre-existing fractures and in situ stress states on blast-induced crack propagation in fractured rocks. The geomechanical behavior of fractured rocks is simulated via a particle-based discrete element model with particles constructed and assembled by the Voronoi tessellation scheme based on the grain-size distribution of actual rock samples (specifically, Beishan granite), which captures solid vibrations under dynamic loading and realistically responds to crack growth and fracture displacement. The reliability of the model is also validated using Snell’s law and fracture mechanics. Based on the model, the effects of stress states and fracture configurations (such as single isolated fracture and two interacting fractures) on damage evolution are examined. It was observed that when the differential stress is aligned (or perpendicular) with the blasting wave, it amplifies (or reduces) the damaging effect of the blasting wave on the rock mass in most instances. The effect of the differential stress on the blasting wave is similar to that of an increase (or reduction) in the amplitude of the blasting wave. When the differential stress exceeds the tensile cracking stress, rock damage sharply escalates due to the generation of a plastic region, regardless of the angle between the blasting wave and differential stress. Meanwhile, a study of two interacting fractures reveals that differences in fracture geometry lead to different stress concentration and shadow zones in the specimen. This changes the location and extent of crack development and ultimately affects the strength of the rock. The findings from our simulations provide critical insights for understanding and characterizing excavation damage zones around underground excavations in fractured crystalline rock obtained by drilling and blasting methods and also provide safety predictions for constructed neighboring structures under dynamic loads.

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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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