Four-dimensional lattice spring model for blasting vibration of tunnel surrounding rock

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-09-13 DOI:10.1007/s40571-024-00822-y

Xuxin Chen, Xiao Wang, Chuanyang Jia, Vahab Sarfarazi

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Abstract

Four-dimensional lattice spring model (4D-LSM) has the intrinsic advantage of analyzing the large dynamic problem. It has better adaptability to the dynamic response of tunnel blasting excavation. The 4D-LSM model of the vibration in small-distance tunnel blasting is established. The dynamic response of the surrounding rock was analyzed by applying the nonreflective boundary condition and equivalent explosive load. The results show that the blasting vibration waves and the air pressure waves generated by tunnel blasting excavation are attenuated to the outside in the form of column surface wave. Due to the cavity effect of the blasting vibration, the vibration wave was reflected at the boundary of the neighboring tunnel contour. The peak particle velocity (PPV) of the rock sandwich area in the small clear-distance tunnel decreases with the increase in blasting distance. The blasting vibration wave was reflected by blasting cavity effect. It causes the increase in the peak particle velocity (PPV) of the surrounding rock mass in the local zone.

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隧道围岩爆破振动的四维格构弹簧模型

四维格构弹簧模型（4D-LSM）具有分析大动态问题的内在优势。它对隧道爆破开挖的动态响应具有更好的适应性。本文建立了隧道小距离爆破振动的 4D-LSM 模型。应用非反射边界条件和等效爆炸载荷分析了围岩的动态响应。结果表明，隧道爆破开挖产生的爆破振动波和气压波以柱面波的形式向外衰减。由于爆破振动的空腔效应，振动波在邻近隧道轮廓边界处发生反射。随着爆破距离的增加，小净距隧道内岩石夹层区的峰值颗粒速度（PPV）减小。爆破振动波在爆破空腔效应的作用下发生反射。它导致局部区域围岩的峰值颗粒速度（PPV）增加。

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来源期刊

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

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.