颗粒配比对岩石力学特征影响的数值模拟研究

叶功勤; 曹函; 高强; 张政; 王天一

doi:10.12090/j.issn.1006-6616.2019.25.06.096

颗粒配比对岩石力学特征影响的数值模拟研究

1.
中南大学地球科学与信息物理学院, 湖南长沙 410083

2.
有色金属成矿预测与地质环境监测教育部重点实验室, 湖南长沙 410083

基金项目:
国家自然科学基金资助项目（41302124）；油气藏地质与开发重点实验室开放资金（201607）

详细信息

作者简介: 叶功勤(1995-), 男, 在读硕士, 主要从事非常规能源与岩石力学的研究工作, E-mail:Yegongqin@csu.edu.cn

通讯作者: 曹函(1982-), 女, 博士, 现任副教授, 主要从事非常规能源与岩石力学的研究工作, E-mail:hancao@csu.edu.cn

中图分类号: TU45

收稿日期: 2019-05-08

修回日期: 2019-11-04

刊出日期: 2019-12-31

NUMERICAL SIMULATION STUDY ON THE INFLUENCE OF PARTICLE PROPORTION ON ROCK MECHANICS CHARACTERISTICS

1.
School of Geosciences and Info-physics, Central South University, Changsha 410083, Hunan, China

2.
Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring(Central South University), Ministry of Education, Changsha 410083, Hunan, China

More Information

Corresponding author: CAO Han, hancao@csu.edu.cn

Received Date: 08 May 2019

Revised Date: 04 November 2019

Publish Date: 31 December 2019

摘要

摘要:
岩石是矿物颗粒的集合体同时也是一种重要的非均质材料，了解它的力学特征对岩土工程及矿产开采都具有重要的指导作用。作为典型的颗粒材料，颗粒单元体的粒径分布配比必然影响着岩石的宏观力学表现。通过设置不同体积配比下的颗粒材料单元体，利用PCF2D软件模拟了相同颗粒材料单元体不同配比下岩石模型的力学特征。模拟结果表明颗粒单元体配比对岩石的力学特征有明显的影响。在模拟过程中大颗粒的配比显著影响着岩石的抗压强度，大颗粒含量相对越高，抗压强度越大。而细颗粒的配比影响着岩石的抗拉强度，细颗粒含量相对越高，抗拉强度越大，但是过多的细颗粒会降低岩石的抗拉强度。考虑岩石压缩过程中裂缝形态的影响。结果表明均匀分布、5：2：3、7：2：1的颗粒配比形成了贯穿裂缝，而1：2：7和3：2：5的颗粒配比未能形成贯穿裂缝，且细颗粒配比越高，裂缝数目出现高值的概率也越大。
- 颗粒配比 /
- 颗粒流 /
- 抗压强度 /
- 抗拉强度 /
- 破坏形态
Abstract:
Rock is a collection of mineral particles and an important heterogeneous material. Understanding its mechanical characteristics plays an important role in guiding geotechnical engineering and mining. As a typical granular material, the proportion of particle size distribution in granular element body certainly affects the macroscopic mechanical behavior of rock. PCF2D software was used to simulate the mechanical characteristics of rock models with different proportions of the same granular material element body by setting the granular material element bodies with different volume proportions. The simulation results show that the proportion of particle elements has obvious influence on the mechanical characteristics of rock. In the simulation process, the proportion of large particles significantly affects the compressive strength of rocks. The higher the content of large particles is, the greater the compressive strength is. The proportion of fine particles affects the tensile strength of rocks. The higher the content of fine particles is, the greater the tensile strength will be; however, excessive fine particles will reduce the tensile strength of rocks. Considering the influence of fracture morphology in the process of rock mass compression, penetrating fractures are formed by rock model with particle proportions of 1:1:1, 5:2:3 and 7:2:1, while those of 1:2:7 and 3:2:5 fail to form penetrating fractures. Moreover, the higher the proportion of fine particles is, the higher the probability of high number of fractures is.
- particle proportion /
- particle flow /
- compressive strength /
- tensile strength /
- failure morphology

HTML全文

图 1 矩形模型生成

Figure 1.

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图 2 平行黏结模型示意图及破坏包络线

Figure 2.

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图 3 单轴压缩和拉伸测试结果

Figure 3.

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图 4 不同颗粒尺寸的接触力分布

Figure 4.

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图 5 不同颗粒配比下压缩和拉伸的应力-应变曲线

Figure 5.

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图 6 岩石单轴压缩破坏形态

Figure 6.

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图 7 颗粒在x轴方向的位移

Figure 7.

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图 8 随时间变化的裂缝数目曲线图

Figure 8.

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表 1 不同颗粒配比试验结果

Table 1. Results of different particle proportion

颗粒配比	均匀分布	1：2：7	3：2：5	5：2：3	7：2：1
颗粒数目/个	3161	2774	3233	3681	4126
接触个数/个	7860	6901	8050	9198	10356
压缩裂缝/条	1145	1199	1383	1920	1318
抗压强度/MPa	26.65	31.12	29.39	29.37	28.31
抗拉强度/MPa	5.89	5.49	5.92	6.30	5.02

下载: 导出CSV

表 2 不同颗粒配比数值模型中颗粒配位数统计图

Table 2. Statistical analysis of particle proportions in numerical model of different particle proportions

颗粒配比	均匀分布	1：2：7	3：2：5	5：2：3	7：2：1
大颗粒配位数	5.84	5.19	5.47	5.68	5.84
中颗粒配位数	5.38	4.78	5.04	5.16	5.38
细颗粒配位数	4.85	4.31	4.51	4.67	4.85

下载: 导出CSV

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