基于GB-DDA方法的岩石细观非均质性对其压缩力学特性影响研究

doi:10.3724/1000-6915.jrme.2024.0919

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摘要非连续变形分析（DDA）方法是一种可模拟变形离散块体系统的隐式离散元方法。为探究矿物晶粒对岩石加载过程中微裂纹萌生、扩展和贯通等破裂过程的影响机制，基于DDA方法建立满足统计规律的Voronoi矿物晶粒模型（GB-DDA）。通过与室内实验结果对比，细观参数标定后的GB-DDA能准确模拟Barre花岗岩在拉压情况下的力学响应，实现晶内和晶间损伤演化过程定量分析；结合准静态单轴压缩实验建立多组不同平均粒径、晶粒圆度、矿物含量的GB-DDA数值模型，探究细观非均质性对Barre花岗岩压缩力学特性影响。研究结果表明：不同因素的Barre花岗岩数值试样在准静态单轴压缩过程中裂纹数量从大到小始终依次为：沿晶拉伸裂纹、穿晶拉伸裂纹、沿晶剪切裂纹、穿晶剪切裂纹。单轴压缩强度、岩石弹性模量、岩石泊松比受平均粒径、晶粒圆度、矿物含量三类因素影响明显；其中平均粒径及晶粒圆度的增大对剪切裂纹的萌生具有促进作用，对沿晶和穿晶裂纹影响较小；黑云母含量的增加对沿晶裂纹的产生具有促进作用，对拉伸和剪切裂纹的影响较小。

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	高善铧1
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	张开雨1
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	杨玫1
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	刘丰4
	朱看远5

关键词 ：岩石力学, 非连续变形分析, 细观非均质性, 晶粒模型, 岩石破坏, 花岗岩

Abstract：Discontinuous deformation analysis (DDA) is an implicit discrete element method used to simulate the deformation of discrete block systems. To investigate the influence of mineral grains on the initiation, propagation, and coalescence of microcracks during rock loading, a Voronoi mineral grain model (GB-DDA) that adheres to statistical laws was established based on the DDA method. Compared to laboratory experiments, the GB-DDA, calibrated by meso parameters, can accurately simulate the mechanical response of Barre granite under tension and compression, enabling the quantitative analysis of intragranular and intergranular damage evolution processes. Using quasi-static uniaxial compression experiments, several GB-DDA numerical models with varying average grain sizes, grain roundness, and mineral content were developed to study the influence of mesoscopic heterogeneity on the compressive mechanical properties of Barre granite. Research findings indicate that during quasi-static uniaxial compression, the number of cracks in the numerical Barre granite samples, generated by different factors, follows the order: intergranular tensile cracks, transgranular tensile cracks, intergranular shear cracks, and transgranular shear cracks. The uniaxial compressive strength, elastic modulus, and Poisson's ratio of the rock are significantly affected by average grain size, grain roundness, and mineral content. An increase in average grain size and grain roundness promotes the initiation of shear cracks but has little effect on intergranular and transgranular cracks. Additionally, an increase in biotite content promotes the generation of intergranular cracks but has minimal impact on tensile and shear cracks.

Key words： rock mechanics discontinuous deformation analysis mesoscopic heterogeneity grain model rock failure granite

引用本文:

高善铧1，2，张开雨1，2，3，杨玫1，2，刘丰4，朱看远5. 基于GB-DDA方法的岩石细观非均质性对其压缩力学特性影响研究[J]. 岩石力学与工程学报, 2025, 44(6): 1612-1623.
GAO Shanhua1, 2, ZHANG Kaiyu1, 2, 3, YANG Mei1, 2, LIU Feng4, ZHU Kanyuan5. Study on the effect of rock mesoscopic heterogeneity on its compressive mechanical properties based on GB-DDA method. , 2025, 44(6): 1612-1623.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.3724/1000-6915.jrme.2024.0919 或 https://rockmech.whrsm.ac.cn/CN/Y2025/V44/I6/1612

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[14]	JIAO Y Y，HUANG G H，ZHAO Z Y，et al. An improved three-dimensional spherical DDA model for simulating rock failure[J]. Chinese Academy of Sciences，2015，58(9)：1 533-1 541.
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[24]	PAN C，LI X，LI J C，et al. Numerical investigation of blast-induced fractures in granite：insights from a hybrid LS-DYNA and UDEC grain-based discrete element method[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources，2021，7(2)：1-18.
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[25]	MORGAN S P，JOHNSON C A，EINSTEIN H H. Cracking processes in Barre granite： fracture process zones and crack coalescence[J]. International Journal of Fracture，2013，180(2)：177-204.
[39]	SAJID M，ARIF M. Reliance of physico-mechanical properties on petrographic characteristics：consequences from the study of Utla granites，north-west Pakistan[J]. Bulletin of Engineering Geology and the Environment，2015，74(4)：1 321-1 330.
[26]	LI B Q，CASANOVA M，EINSTEIN H H. Laboratory study of fracture initiation and propagation in Barre granite under fluid pressure at stress state close to failure[J]. Journal of Rock Mechanics and Geotechnical Engineering，2023，15(3)：538-550.
[27]	陈颙，黄庭芳. 岩石物理学[M]. 北京：北京大学出版社，2001：10-13.(CHEN Yong，HUANG Tingfang. Petrophysics[M]. Beijing：Peking University Press，2001：10-13.(in Chinese))
[28]	BANADAKI M M D. Stress-wave induced fracture in rock due to explosive action[Ph. D. Thesis][D]. Toronto：University of Toronto，2011.
[29]	LAN H X，MARTIN C D，HU B. Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading[J]. Journal of Geophysical Research：Solid Earth，2010，115(B1)：B01202.
[30]	PENG J，WONG L N Y，TEH C L. Effects of grain size-to-particle size ratio on micro-cracking behavior using a bonded-particle grain-based model[J]. International Journal of Rock Mechanics and Mining Sciences，2017，100：207-217.
[31]	张世瑞，邱士利，李邵军，等. 北山花岗岩细观非均质性对单轴压缩力学特性影响的FDEM数值研究[J]. 岩石力学与工程学报，2022，41(增1)：2 658-2 672.(ZHANG Shirui，QIU Shili，LI Shaojun，et al. Study on mechanical properties of Beishan granite meso-heterogeneity under uniaxial compression with FDEM[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(Supp.1)：2 658-2 672.(in Chinese))
[32]	LI L，LEE P K K，TSUI Y，et al. Failure process of granite[J]. International Journal of Geomechanics，2003，3(1)：84-98.
[33]	梁昌玉，吴树仁，李晓. 中低应变率范围内单轴压缩下花岗岩断口细-微观特征研究[J]. 岩石力学与工程学报，2015，34(增1)：2 977-2 985.(LIANG Changyu，WU Shuren，LI Xiao. Research on micro-meso characteristics of granite fracture under uniaxial compression at low and intermediate strain rates[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.1)：2 977-2 985.(in Chinese))
[34]	ZHOU J，ZHANG L Q，YANG D X，et al. Investigation of the quasi-brittle failure of Alashan granite viewed from laboratory experiments and grain-based discrete element modeling[J]. Materials，2017，10(7)：835.
[35]	PENG J，WONG L N Y，TEH C I. Influence of grain size on strength of polymineralic crystalline rock：New insights from DEM grain-based modeling[J]. Journal of Rock Mechanics and Geotechnical Engineering，2021，13(4)：755-766.
[36]	王穗丰，赵先宇，张利平，等. 基于晶粒织构模型的花岗岩矿物晶粒形状及朝向对其力学特性影响研究[J]. 岩石力学与工程学报，2023，42(10)：2 515-2 527.(WANG Suifeng，ZHAO Xianyu，ZHANG Liping，et al. Influence of grain shape and orientation of granite on mechanical property based on the grain texture model[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(10)：2 515-2 527.(in Chinese))
[37]	PAN C，ZHAO G M，MENG X R，et al. Numerical investigation of the influence of mineral mesostructure on quasi-static compressive behaviors of granite using a breakable grain-based model[J]. Frontiers in Ecology and Evolution，2023，11：1288870.
[38]	YESILOGLU-GULTEKIN N，SEZER E A，GOKCEOGLU C，et al. An application of adaptive neuro fuzzy inference system for estimating the uniaxial compressive strength of certain granitic rocks from their mineral contents[J]. Expert Systems with Applications，2013，40(3)：921-928.
[39]	SAJID M，ARIF M. Reliance of physico-mechanical properties on petrographic characteristics：consequences from the study of Utla granites，north-west Pakistan[J]. Bulletin of Engineering Geology and the Environment，2015，74(4)：1 321-1 330.