Investigation of fracture mechanisms in smooth blasting of limestone samples: numerical and experimental approaches

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Computational Particle Mechanics Pub Date : 2024-05-15 DOI:10.1007/s40571-024-00764-5
Vahab Sarfarazi, Jinwei Fu, Hadi Haeri, Koorosh Zamanian, Hesam Dehghani, Shirin Jahanmiri
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Abstract

This paper presents a comprehensive study on the numerical and experimental simulation of smooth blasting in limestone. The calibration of the numerical model was initiated through Brazilian and uniaxial compression tests on limestone samples. Compressive strength and Brazilian tensile strength of limestone were 70 MPa and 8 MPa. This enabled the determination of essential micro-parameters. Subsequently, smooth blasting scenarios were simulated under two distinct conditions: with and without confinement. Under confinement conditions, models with dimensions of 600 mm * 900 mm were constructed. The blasting hole was strategically positioned at varying distances from the free boundary, accompanied by a row of parallel holes positioned behind it. A confining pressure of 10 MPa was applied. Appropriate values for normal and shear damping, as well as the allocation of a viscous boundary, were established. Normal and shear damping values were equal to 0.4 and 0.3, respectively. Throughout different stages of blasting, critical parameters such as crack growth patterns, particle velocity, and induced loads near the blasting hole were meticulously recorded. Measuring circles were strategically placed in proximity to both the blasting hole and free boundary to capture induced forces. Parallel to the numerical simulations, an unconfined experimental test was conducted on limestone samples with similar dimensions. However, it was observed that the reflected tensile stress wave at the surface of the empty hole exacerbated damage to the rock mass between the blast hole and the empty holes. The presence of multiple empty holes significantly influenced the extension of the blasting-induced main fracture. Various factors, including the distance between the explosion source and the empty holes, played a pivotal role in the reflection tensile failure on the surface with no holes. Furthermore, it was found that increasing the separation between the empty holes and the blasting hole led to a reduction in kinetic energy and high friction energy. Conversely, widening the blasting holes amplified both peak friction energy and kinetic energy. Elevating the confining pressure resulted in a decrease in both peak friction energy and kinetic energy, while simultaneously increasing the strain energy. Additionally, extending the distance between the blasting hole and the free border led to a reduction in flying rock. Confining the area had a dual benefit of reducing induced force and mitigating the quantity of flying rock. The results from the experimental test and numerical simulation exhibited a consistent trend.

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石灰石样品光面爆破中的断裂机制研究:数值和实验方法
本文对石灰岩光面爆破的数值模拟和实验模拟进行了综合研究。数值模型的校准是通过对石灰石样品进行巴西和单轴压缩试验开始的。石灰石的抗压强度为70 MPa,巴西抗拉强度为8 MPa。这样就可以确定基本的微参数。随后,模拟了两种不同条件下的光面爆破场景:有约束和无约束。在约束条件下,构建了尺寸为600 mm * 900 mm的模型。爆破孔战略性地定位在离自由边界不同距离的位置,在其后面有一排平行的孔。围压为10 MPa。建立了合适的法向和剪切阻尼值,以及粘性边界的分配。法向和剪切阻尼值分别为0.4和0.3。在爆破的不同阶段,我们仔细记录了爆破孔附近的裂纹扩展模式、颗粒速度和诱导载荷等关键参数。测量圆被巧妙地放置在爆破孔和自由边界附近,以捕捉诱导力。在数值模拟的同时,对尺寸相近的石灰石试样进行了无侧限试验。然而,空孔表面反射的拉应力波加剧了空孔与爆破孔之间岩体的破坏。多个空孔的存在对爆破主裂缝的延伸有显著影响。在无孔表面发生反射拉伸破坏时,包括爆炸源与空孔之间的距离在内的各种因素都起着关键作用。进一步发现,增大空孔与爆破孔之间的距离,会导致动能降低和高摩擦能。相反,爆破孔的扩大增大了峰值摩擦能和动能。围压的升高导致峰值摩擦能和峰值动能均降低,同时应变能升高。此外,延长爆破孔与自由边界之间的距离导致飞石的减少。限制该区域具有减少诱导力和减少飞石数量的双重好处。实验结果与数值模拟结果基本一致。
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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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