考虑裂隙粗糙度的岩体单轴压缩动态损伤模型

刘红岩; 薛雷; 张光雄; 王光兵; 王基禹; 和铁柱; 邹宗山

doi:10.11883/bzycj-2024-0335

考虑裂隙粗糙度的岩体单轴压缩动态损伤模型

doi: 10.11883/bzycj-2024-0335

1.
中国地质大学(北京)工程技术学院，北京 100083
2.
中国科学院地质与地球物理研究所页岩气与地质工程重点实验室，北京 100083
3.
保利民爆哈密有限公司，新疆哈密 839000

基金项目: 北京市自然科学基金项目（8222031）；2024年河南省重点研发与推广专项（科技攻关）（242103220059）；河南省高等学校青年骨干教师培养计划项目（2024GGJS200）；新疆维吾尔自治区“天池英才”领军人才计划项目（2023）

详细信息

作者简介:
刘红岩（1975－　），男，博士、教授，Lhyan1204@126.com

中图分类号: O346
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- 被引次数: 0
出版历程
- 收稿日期: 2024-09-10
- 修回日期: 2024-11-13
- 网络出版日期: 2024-11-13

A uniaxial compressive dynamic damage model for rockmass considering the crack roughness

1.
School of Engineering & Technology, China University of Geosciences (Beijing), Beijing 100083, China
2.
Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
3.
Poly Explosive Hami Co., Ltd., Hami 839000, Xinjiang, China

摘要

摘要: 为了在裂隙岩体动态损伤模型中考虑裂隙粗糙度的影响：首先，基于前人提出的能够同时考虑裂隙几何参数、强度参数及变形参数的岩体宏观损伤变量计算模型，通过引入Barton建立的粗糙裂隙JRC-JCS抗剪强度模型，提出了能够同时考虑裂隙粗糙度的岩体宏观损伤变量计算模型；其次，将该计算模型引入到前人提出的考虑宏细观缺陷耦合的非贯通裂隙岩体单轴压缩动态损伤模型中，建立了能够同时考虑裂隙粗糙度的非贯通裂隙岩体单轴压缩动态损伤模型；最后，通过参数敏感性分析研究了裂隙粗糙度JRC、裂隙面基本摩擦角φ_b、裂隙长度2a对岩体动态力学特性的影响。结果显示，当JRC由0分别增加到10和20时，岩体动态峰值强度由26.42分别增加到27.28和28.37 MPa；当φ_b由0°分别增加到15°和30°时，岩体动态峰值强度由26.24 MPa分别增加到27.28和28.80 MPa；当2a由1 cm分别增加到2和3 cm时，岩体动态峰值强度由31.37 MPa分别降低至27.28和23.90 MPa。同时为了更精确地刻画裂隙面粗糙度的影响，将裂隙面分形维数引入到岩体动态损伤模型中，不但提高了模型计算精度，而且拓宽了其应用范围，更便于实际工程应用。
- 非贯通裂隙岩体 /
- 裂隙粗糙度系数 /
- 应力强度因子 /
- JRC-JCS抗剪强度模型 /
- 单轴压缩动态损伤模型
Abstract: In order to take into account the influence of the crack roughness, first of all, on basis of the calculation model for the rockmass macroscopic damage variable which can take into account the crack geometry parameter, strength parameter and deformation parameter, a calculation model for the rockmass macroscopic damage variable is proposed by introducing the JRC-JCS shear strength model for the rough crack established by Barton, which can consider the crack roughness. Secondly, the proposed calculation model is introduced into the uniaxial compressive dynamic damage model for the rock mass with the non-persistent crack, which both considers the coupling of the macroscopic and microscopic defects, and then a uniaxial compressive dynamic damage model for the rock mass with the non-persistent crack is established which can consider the crack roughness at the same time. Finally, the effect of crack roughness JRC and crack basic friction angle φ_b and crack length 2a on rockmass dynamic mechanical property is studied with the parametric sensitivity analysis. The result shows that the rockmass dynamic climax strength increases from 26.42 MPa to 27.28 and 28.37 MPa with JRC increasing from 0 to 10 and 20 respectively. The rockmass dynamic climax strength increases from 26.42 MPa to 27.28 and 28.80 MPa with φ_b increasing from 0° to 15° and 30° respectively. The rockmass dynamic climax strength decreases from 31.37 MPa to 27.28 and 23.90 MPa with 2a increasing from 1cm to 2 and 3cm respectively. At the same time, in order to describe the influence of the crack roughness more accurately, the crack fractal dimension is introduced into the dynamic damage model for the rock mass, which not only improves the calculation accuracy of the model, but also broadens its application range, which is more convenient for practical engineering application.
- the rockmass with the non-persistent crack /
- crack roughness coefficient /
- stress intensity factor /
- JRC-JCS shear strength model /
- a uniaxial compressive dynamic damage model

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图 1 单轴压缩下含单条非贯通裂隙的岩体

Figure 1. Rockmass with single non-persistent crack under uniaxial compression

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图 2 含单组断续裂隙的岩体模型

Figure 2. The rockmass model with one set of intermittent cracks

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图 3 求解流程示意图

Figure 3. Scheme of the solution flow

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图 4 计算模型及施加的动荷载

Figure 4. The calculation model and applied dynamic load

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图 5 岩体单轴压缩动态应力应变计算曲线

Figure 5. the calculation curve of rock axial compression dynamic stress-strain

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图 6 裂隙粗糙度μ对岩体动态力学特性的影响

Figure 6. Effect of the crack roughness μ on the rockmass dynamic mechanical behavior

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图 7 裂隙面分形维数η对岩体动态力学特性的影响

Figure 7. Effect of the crack fractal dimension η on the rockmasµμs dynamic mechanical behavior

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图 8 裂隙面基本摩擦角φ_b对岩体动态力学特性的影响

Figure 8. Effect of the crack face basic friction angle φ_b on the rockmass dynamic mechanical behavior

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图 9 裂隙长度2a对岩体动态力学特性的影响

Figure 9. Effect of the crack length 2a on the rockmass dynamic mechanical behavior

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表 1 岩块参数

Table 1. Parameters of the intact rock

ρ/(kg·m⁻³)	E/GPa	ν	$ \dot{\varepsilon } $/s⁻¹	k	m	h/mm	w/mm
2270	10.8	0.2	100	5.115×10²²	7	100	50

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表 2 裂隙参数

Table 2. Crack parameters

n	2a/mm	d/mm	b/mm	δ/mm	α/(°)	φ_b/(°)	k_n/(GPa·cm⁻¹)	k_s/(GPa·cm⁻¹)	f_JRC	σ_JCS/MPa
8	20	20	40	10	45	15	20	8	10	30

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表 3 典型粗糙裂隙剖面及其粗糙度系数$ {f}_{\mathrm{J}\mathrm{R}\mathrm{C}} $与分形维数$ \eta $

Table 3. The typical rough crack profile and its JRC ($ {f}_{\mathrm{J}\mathrm{R}\mathrm{C}} $) and fractal dimension ($ \eta $)

编号	典型裂隙剖面	$ {f}_{\mathrm{J}\mathrm{R}\mathrm{C}} $	$ \eta $	编号	典型裂隙剖面	$ {f}_{\mathrm{J}\mathrm{R}\mathrm{C}} $	$ \eta $
1		0～2	1.002	6		10～12	1.036
2		2～4	1.005	7		12～14	1.043
3		4～6	1.011	8		14～16	1.051
4		6～8	1.018	9		16～18	1.062
5		8～10	1.025	10		18～20	1.069

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