Fracturing evolutionary law and energy utilization efficiency of green sandstones under different loading rates

Authors

ZHAO Huanshuai, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, ChinaFollow
PAN Yongtai, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, ChinaFollow
QIAO Xin, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, China
WANG Xingyu, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, China
YU Chao, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, China
HUANG Jiacheng, School of Chemical and Environmental Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China; Engineering Research Center for Mine and Municipal Solid Waste Recycling, China University of Mining and Technology (Beijing), Beijing 100083, China

Abstract

[Objective] This study aims to explore the fracturing evolutionary laws and energy utilization efficiency of rocks under different loading rates is a pressing issue in the field of rock fragmentation and processing. [Methods] To this end, the microscopic parameters of green sandstones were calibrated based on laboratory tests, followed by the identification of relationships between the macro- and microscopic mechanical responses of the sandstones. Using Particle Flow Code (PFC), this study investigated the stress-strain curves and stress chain distribution of green sandstones under different loading rates. Then, based on the fracturing and crack characteristics, this study analyzed the fracturing evolutionary laws, and analyzed the energy utilization efficiency during the fracturing process of green sandstones. [Results and Conclusions] The results indicate that: (1) The stress-strain curves obtained during the fracturing of green sandstones exhibited the stages of pre-peak linear elasticity, pre-peak plastic deformations, and post-peak progressive destabilization. The tensile chains lead to crack propagation in green sandstones, and the eventual failure of the sandstones was caused by the interactions between pressure and tensile chains. (2) Under varying loading rates, green sandstones experienced the stages of shear fracturing, penetrating fracturing, and mixed multistage fracturing. The fracturing in the former stages was primarily caused by shear force, while tensile force predominated in the last stage. Tensile cracks were primarily found throughout the rock fracturing. These cracks exhibited a formation rate significantly higher than shear cracks, with an overall crack generation rate reaching up to 2400.81 m/s. (3) The failure energy of green sandstones evolved from slow increase to rapid increase and then to stabilization. The energy utilization efficiency peaked at 0.088% when the loading rate was 0.05 m/s. This study conducted a preliminary exploration into the fracturing evolutionary laws and energy utilization efficiency of rocks microscopically, and the results serve as a guidance for selecting rational process parameters for rock fracturing.

Keywords

green sandstone, loading rate, Particle Flow Code (PFC), mechanical properties, force chain, failure energy

DOI

10.12363/issn.1001-1986.24.03.0152

Recommended Citation

ZHAO Huanshuai, PAN Yongtai, QIAO Xin, et al. (2024) "Fracturing evolutionary law and energy utilization efficiency of green sandstones under different loading rates," Coal Geology & Exploration: Vol. 52: Iss. 6, Article 8.
DOI: 10.12363/issn.1001-1986.24.03.0152
Available at: https://cge.researchcommons.org/journal/vol52/iss6/8

Reference

[1] YAHYAEI M，HILDEN M，SHI Fengnian，et al. Comminution[M]//Production，Handling and Characterization of Particulate Materials. Switzerland：Springer International Publishing，2016：157–199.

[2] ZHANG Zongxian，OUCHTERLONY F. Energy requirement for rock breakage in laboratory experiments and engineering operations：A review[J]. Rock Mechanics and Rock Engineering，2022，55(2)：629−667.

[3] 夏晓鸥，罗秀建. 惯性圆锥破碎机[M]. 北京：冶金工业出版社，2015.

[4] 李傲，王志亮，封陈晨，等. 动态冲击下锦屏大理岩力学响应与能量特性[J]. 水文地质工程地质，2022，49(5)：112−118.

LI Ao，WANG Zhiliang，FENG Chenchen，et al. Mechanical responses and energy characteristics of the Jinping marble under the dynamic impact[J]. Hydrogeology & Engineering Geology，2022，49(5)：112−118.

[5] 朱瑞赓，吴绵拔. 在不同加载速率条件下花岗岩的破坏准则[J]. 岩土力学，1984，5(1)：37−46.

ZHU Ruigeng，WU Mianba. Failure criterion of granite at different loading rates[J]. Rock and Soil Mechanics，1984，5(1)：37−46.

[6] CAO Anye，JING Guangcheng，DING Yanlu，et al. Mining-induced static and dynamic loading rate effect on rock damage and acoustic emission characteristic under uniaxial compression[J]. Safety Science，2019，116：86−96.

[7] 宋义敏，邢同振，邓琳琳，等. 不同加载速率下岩石变形场演化试验研究[J]. 岩土力学，2017，38(10)：2773−2779.

SONG Yimin，XING Tongzhen，DENG Linlin，et al. Experimental study of evolution characteristics of rock deformation field at different loading rates[J]. Rock and Soil Mechanics，2017，38(10)：2773−2779.

[8] 张泽坤，宋战平，程昀，等. 加载速率影响下类硬岩声发射及破裂响应特征[J]. 煤田地质与勘探，2022，50(2)：115−124.

ZHANG Zekun，SONG Zhanping，CHENG Yun，et al. Acoustic emission characteristics and fracture response behavior of hard rock-like material under influence of loading rate[J]. Coal Geology & Exploration，2022，50(2)：115−124.

[9] 陈军涛，李明，程斌斌，等. 加载速率对大尺寸试样破裂特性的影响规律[J]. 煤田地质与勘探，2019，47(5)：163−172.

CHEN Juntao，LI Ming，CHENG Binbin，et al. Influence of loading rate on the fracture characteristics of large-size specimen[J]. Coal Geology & Exploration，2019，47(5)：163−172.

[10] 张学朋，蒋宇静，王刚，等. 基于颗粒离散元模型的不同加载速率下花岗岩数值试验研究[J]. 岩土力学，2016，37(9)：2679−2686.

ZHANG Xuepeng，JIANG Yujing，WANG Gang，et al. Numerical experiments on rate-dependent behaviors of granite based on particle discrete element model[J]. Rock and Soil Mechanics，2016，37(9)：2679−2686.

[11] 姜耀东，李海涛，赵毅鑫，等. 加载速率对能量积聚与耗散的影响[J]. 中国矿业大学学报，2014，43(3)：369−373.

JIANG Yaodong，LI Haitao，ZHAO Yixin，et al. Effect of loading rate on energy accumulation and dissipation in rocks[J]. Journal of China University of Mining & Technology，2014，43(3)：369−373.

[12] GUO Qing，PAN Yongtai，ZHOU Qiang，et al. Kinetic energy calculation in granite particles comminution considering movement characteristics and spatial distribution[J]. Minerals，2021，11(2)：217.

[13] 张磊. 超声振动激励下坚硬岩石高效破碎基础研究[D]. 徐州：中国矿业大学，2021.

ZHANG Lei. Basic research on high efficient crushing of hard rock under ultrasonic vibration excitation[D]. Xuzhou：China University of Mining and Technology，2021.

[14] 赵环帅，潘永泰，余超，等. 锤式破碎机冲击速率对青砂岩破碎效果及断裂能利用效率的影响[J]. 煤炭科学技术，2024，52(5)：289−300.

ZHAO Huanshuai，PAN Yongtai，YU Chao，et al. The influence of impact velocities of hammer crusher on the crushing effect and utilization efficiency of fracture energy in green sandstone[J]. Coal Science and Technology，2024，52(5)：289−300.

[15] 徐小敏，凌道盛，陈云敏，等. 基于线性接触模型的颗粒材料细–宏观弹性常数相关关系研究[J]. 岩土工程学报，2010，32(7)：991−998.

XU Xiaomin，LING Daosheng，CHEN Yunmin，et al. Correlation of microscopic and macroscopic elastic constants of granular materials based on linear contact model[J]. Chinese Journal of Geotechnical Engineering，2010，32(7)：991−998.

[16] 陈军涛，李昊，褚衍玉，等. 刚度差异对岩石破裂影响的颗粒流模拟研究[J]. 山东科技大学学报(自然科学版)，2022，41(2)：51−59.

CHEN Juntao，LI Hao，CHU Yanyu，et al. Influence of stiffness difference on rock fracture based on particle flow simulation[J]. Journal of Shandong University of Science and Technology (Natural Science)，2022，41(2)：51−59.

[17] 佟安，张军徽，武娜. 红砂岩单轴压缩宏细观参数映射关系研究[J]. 力学与实践，2020，42(2)：202−208.

TONG An，ZHANG Junhui，WU Na. Macro and microscopic parameter mapping relationship for red sandstone[J]. Mechanics in Engineering，2020，42(2)：202−208.

[18] 于利强，姚强岭，徐强，等. 加载速率影响下裂隙细砂岩裂纹扩展试验及数值模拟研究[J]. 煤炭学报，2021，46(11)：3488−3501.

YU Liqiang，YAO Qiangling，XU Qiang，et al. Experimental and numerical simulation study on crack propagation of fractured fine sandstone under the influence of loading rate[J]. Journal of China Coal Society，2021，46(11)：3488−3501.

[19] 尹白琳，吝曼卿，石明汉，等. 不同加载速率对磷块岩破坏特性的影响研究[J]. 化工矿物与加工，2023，52(8)：26−31.

YIN Bailin，LIN Manqing，SHI Minghan，et al. Study on the effect of loading rates on the failure characteristics of phosphate rock[J]. Industrial Minerals & Processing，2023，52(8)：26−31.

[20] 赵志强，吴顺川，张小强，等. 岩体原位直剪试验声发射特征及破坏机理研究[J]. 工程地质学报，2023，31(6)：1901−1909.

ZHAO Zhiqiang，WU Shunchuan，ZHANG Xiaoqiang，et al. Acoustic emission characteristics and failure mechanism of rock mass with in-situ direct shear test[J]. Journal of Engineering Geology，2023，31(6)：1901−1909.

[21] 王仁坤，林鹏，周维垣. 复杂地基上高拱坝开裂与稳定研究[J]. 岩石力学与工程学报，2007，26(10)：1951−1958.

WANG Renkun，LIN Peng，ZHOU Weiyuan. Study on cracking and stability problems of high arch dams on complicated foundations[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(10)：1951−1958.

[22] 陈东升，纪洪广，袁永忠，等. 岩石非均质程度对水压致裂地应力测试方法影响的分析与讨论[J]. 地质力学学报，2023，29(3)：365−374.

CHEN Dongsheng，JI Hongguang，YUAN Yongzhong，et al. Influence of rock inhomogeneity degree on the crustal stress results measured by hydraulic fracturing method[J]. Journal of Geomechanics，2023，29(3)：365−374.

[23] 陈浩，何丽华，何应明. 高应变率下大理岩力学特性及损伤规律[J]. 化工矿物与加工，2022，51(9)：56−60.

CHEN Hao，HE Lihua，HE Yingming. Mechanical properties and damage evolution law of marble rock at high strain rate[J]. Industrial Minerals & Processing，2022，51(9)：56−60.

[24] 冯中亮. 基于节理非线性力学响应的岩体损伤力学机制研究[D]. 北京：中国矿业大学(北京)，2023.

FENG Zhongliang. Study on damage mechanism of rock mass based on joint nonlinear mechanical response[D]. Beijing：China University of Mining & Technology (Beijing)，2023.

[25] 杨梦泽. 受压砂岩变形过程中能量演化及断裂机理研究[D]. 阜新：辽宁工程技术大学，2022.

YANG Mengze. Research on energy evolution and fracture mechanism of compressed sandstone during deformation[D]. Fuxin：Liaoning Technical University，2022.

[26] 赵环帅，潘永泰，余超，等. 振动载荷对青砂岩冲击裂纹扩展及能量利用效率的影响[J/OL]. 清华大学学报(自然科学版)，2024：1–11[2024-05-23]. https://doi.org/10.16511/j.cnki.qhdxxb.2024.22.029.

ZHAO Huanshuai，PAN Yongtai，YU Chao，et al. Influence of vibration loading on impact crack propagation andenergy utilization efficiency in green sandstone[J/OL]. Journal of Tsinghua University (Science and Technology)，2024：1–11[2024-05-23]. https://doi.org/10.16511/j.cnki.qhdxxb.2024.22.029.

[27] 丁桐桐，徐建华，李远安，等. 基于离散单元法的立轴冲击破碎机成砂率数值计算[J]. 应用力学学报，2021，38(5)：2018−2024.

DING Tongtong，XU Jianhua，LI Yuan’an，et al. Numerical calculation of sand formation rate of vertical shaft impact crusher based on discrete element method[J]. Chinese Journal of Applied Mechanics，2021，38(5)：2018−2024.

[28] 石崇，张强，王盛年. 颗粒流(PFC5.0)数值模拟技术及应用[M]. 北京：中国建筑工业出版社，2018.