微凸体形状对砂岩节理摩擦因数的影响研究

doi:10.16265/j.cnki.issn1003-3033.2022.04.006

中国安全科学学报 ›› 2022, Vol. 32 ›› Issue (4): 36-43.doi: 10.16265/j.cnki.issn1003-3033.2022.04.006

微凸体形状对砂岩节理摩擦因数的影响研究

王来贵¹(), 赵国超¹(), 刘向峰¹, 赵娜¹, 李喜林²

¹ 辽宁工程技术大学力学与工程学院,辽宁阜新 123000
² 辽宁工程技术大学土木工程学院,辽宁阜新 123000

收稿日期:2021-12-18 修回日期:2022-03-17 出版日期:2022-04-28
作者简介:
王来贵 (1962—),男,山西闻喜人,工学博士,二级教授,全国优秀教师,主要从事环境与灾害岩石力学研究。E-mail: 1611525041@qq.com。
赵国超 (1986—),男,辽宁朝阳人,博士研究生,研究方向为矿山灾害力学。E-mail: zgc19861202@163.com。
刘向峰, 教授。
赵娜, 副教授。
李喜林, 副教授。
基金资助:
国家自然科学基金资助(2017YFC1503102)

Influence of asperity shapes on friction coefficients of sandstone joints

WANG Laigui¹(), ZHAO Guochao¹(), LIU Xiangfeng¹, ZHAO Na¹, LI Xilin²

¹ College of Mechanics and Engineering, Liaoning Technical University, Fuxin Liaoning 123000, China
² College of Civil Engineering, Liaoning Technical University, Fuxin Liaoning 123000, China

Received:2021-12-18 Revised:2022-03-17 Published:2022-04-28

摘要/Abstract

摘要：

为分析微凸体形状对砂岩滑动稳定性的影响,采用自制摩擦滑动装置对砂岩节理进行滑动摩擦试验,将砂岩表面微凸体形状考虑为规则正多边形,引入微凸体形状系数参数,建立包含微凸体参数的摩擦因数预测模型。结果表明:微凸体长度越大,摩擦因数越小,变化范围越窄。微凸体长度一定时,微凸体形状系数越大,摩擦因数越小;微凸体形状系数不变时,微凸体长度越大摩擦因数越小。当微凸体长度取值在2~5 mm之间时,摩擦因数预测值与试验值吻合较好。

关键词: 微凸体形状, 砂岩节理, 摩擦因数, 剪胀角, 摩擦角

Abstract:

In order to analyze influence of asperity shapes on sliding stability of sandstones, a sliding friction test was performed on a self-made device. With asperity shapes of sandstone surface being considered as a regular polygon and asperity shape coefficient being introduced, a prediction model for friction coefficients of sandstone joints, including asperities, was proposed. The results indicate that along with increase in asperity's length, friction coefficients gradually decrease, and their variation range becomes narrower. When the length is constant, friction coefficients gradually decrease with the increase of asperity shape coefficient. And in the case of constant asperity shape coefficient, friction coefficients gradually decrease with increase of length. The predicted friction coefficient is in good agreement with test value when the length is between 2-5 mm.

Key words: asperity shape, sandstone joint, friction coefficient, dilatancy angle, friction angle

王来贵, 赵国超, 刘向峰, 赵娜, 李喜林. 微凸体形状对砂岩节理摩擦因数的影响研究[J]. 中国安全科学学报, 2022, 32(4): 36-43.

WANG Laigui, ZHAO Guochao, LIU Xiangfeng, ZHAO Na, LI Xilin. Influence of asperity shapes on friction coefficients of sandstone joints[J]. China Safety Science Journal, 2022, 32(4): 36-43.

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微凸体长度λ/mm	1.11	1.25	1.43	1.67	2.0	2.50	3.33	5.0	10.0
正三棱锥	3.391	2.786	2.293	1.884	1.539	1.243	0.988	0.765	0.568
正四棱锥	1.827	1.602	1.399	1.215	1.048	0.895	0.754	0.625	0.505
正五棱锥	1.513	1.348	1.196	1.056	0.925	0.804	0.691	0.586	0.487
正六棱锥	1.386	1.243	1.111	0.988	0.873	0.765	0.664	0.568	0.479
圆锥	1.169	1.063	0.963	0.869	0.779	0.694	0.614	0.537	0.464

c,K值误差	K=1.0	K=1.2	K=1.4	K=1.6	K=1.8	K=2.0	K=2.2	K=2.4	K=2.6	K=2.8
c=1.0	9.18	7.23	5.72	4.94	4.65	4.63	4.80	5.62	7.28	9.04
c=1.2	7.49	5.42	4.39	4.20	4.31	4.56	5.80	7.68	9.56	11.44
c=1.4	5.77	3.99	3.72	4.00	4.38	5.89	7.89	9.88	11.88	14.05
c=1.6	4.04	3.33	3.64	4.22	5.77	7.89	10.01	12.28	14.61	16.94
c=1.8	2.95	3.22	4.01	5.44	7.68	10.02	12.48	14.95	17.41	19.87
c=2.0	2.75	3.70	5.05	7.26	9.86	12.46	15.06	17.66	20.26	22.86

微凸体形状	正三棱锥	正四棱锥	正五棱锥	正六棱锥	圆锥
微凸体长度/mm	5.0	3.33	3.33	2.5	2.0
第一次滑动初始剪胀角/(°)	15.91	15.52	13.15	15.91	16.42
基础摩擦角/(°)	21.5	21.5	21.5	21.5	21.5
K=1.0时误差/%	9.89	10.43	13.56	9.89	9.18
误差最小时c、K的取值	c=2.0,K=1.0	c=2.0,K=1.0	c=2.0,K=1.4	c=2.0,K=1.0	c=2.0,K=1.0
最小误差/%	2.74	2.85	3.30	2.74	2.75

微凸体形状对砂岩节理摩擦因数的影响研究

Influence of asperity shapes on friction coefficients of sandstone joints

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