岩石粗糙裂隙大范围雷诺数条件下渗流特性

doi:10.6040/j.issn.1672-3961.0.2018.533

山东大学学报 (工学版) ›› 2019, Vol. 49 ›› Issue (4): 70-77.doi: 10.6040/j.issn.1672-3961.0.2018.533

岩石粗糙裂隙大范围雷诺数条件下渗流特性

刘杰¹(),王者超^2,*(),张宇鹏²,孙华阳³

1. 山东大学岩土与结构工程研究中心, 山东济南 250061
2. 东北大学深部金属矿山安全开采教育部重点实验室, 辽宁沈阳 110004
3. 东北大学资源与土木工程学院, 辽宁沈阳 110004

收稿日期:2018-12-09 出版日期:2019-08-20 发布日期:2019-08-06
通讯作者: 王者超 E-mail:liujiegt@126.com;wang_zhechao@hotmail.com
作者简介:刘杰(1988—)，男，山东高唐人，硕士研究生，主要研究方向为岩体裂隙渗流. E-mail:liujiegt@126.com
基金资助:
国家自然科学基金资助项目(51779045);国家自然科学基金资助项目(51579141)

Flow characteristics of rough rock fractures under wide range of Reynolds numbers

Jie LIU¹(),Zhechao WANG^2,*(),Yupeng ZHANG²,Huayang SUN³

1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan 250061, Shandong, China
2. Key laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110004, Liaoning, China
3. School of Resources and Civil Engineering, Northeastern University, Shenyang 110004, Liaoning, China

Received:2018-12-09 Online:2019-08-20 Published:2019-08-06
Contact: Zhechao WANG E-mail:liujiegt@126.com;wang_zhechao@hotmail.com
Supported by:
国家自然科学基金资助项目(51779045);国家自然科学基金资助项目(51579141)

摘要/Abstract

摘要：

通过试验和理论分析,研究不同几何参数的岩石粗糙裂隙渗流的非达西系数β、临界雷诺数Re_c、非达西效应因子E等变化特性。研制裂隙渗流试验仪器,制作9个不同开度和裂隙粗糙度(joint roughness coefficient, JRC)的单裂隙模型,开展大范围雷诺数Re条件下粗糙裂隙渗流试验。根据渗流试验结果,得到了不同粗糙度(JRC=2~20)单裂隙的渗流特性,显示出粗糙度对裂隙的非线性渗流特性产生显著的影响。结合Forchheimer方程,从理论参数方面,对粗糙度的影响进行量化。研究显示:裂隙粗糙度越大,则越容易引起裂隙渗流的非线性,临界雷诺数越小,非线性作用越强。

关键词: 粗糙裂隙, 渗流试验, 非线性渗流, Forchheimer方程, 临界雷诺数

Abstract:

Through experiments and theoretical analysis, the flow characteristics of rock rough fractures with different geometric parameters were studied, including non-Darcy coefficient β, critical Reynolds number Re_c and non-Darcy effect factor E. Testing equipment for fluid flow in fractures was developed and 9 rough single fracture models with different apertures and Joint Roughness Coefficients (JRC) were prepared. Laboratory tests on flow in rough fractures with Reynolds numbers, i.e., from 2 to 5000 were performed. The characteristics of flow in single fractures with different roughness (JRC=2-20) under wide range of Reynolds numbers were obtained. It was shown that fracture roughness had a significant impact on the nonlinear flow characteristics of the fracture. Based on the Forchheimer equation, the effects of fracture roughness on equation parameters were quantitatively studied. The larger fracture roughness was, the more likely it was to cause the nonlinearity of the fracture flow, the smaller critical Reynolds number was, and the stronger non-linear effect would be.

Key words: rough fracture, flow experiment, nonlinear flow, Forchheimer equation, critical Reynolds number

中图分类号:

刘杰, 王者超, 张宇鹏, 孙华阳. 岩石粗糙裂隙大范围雷诺数条件下渗流特性[J]. 山东大学学报 (工学版), 2019, 49(4): 70-77.

Jie LIU, Zhechao WANG, Yupeng ZHANG, Huayang SUN. Flow characteristics of rough rock fractures under wide range of Reynolds numbers[J]. Journal of Shandong University(Engineering Science), 2019, 49(4): 70-77.

图/表 13

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文献序号	研究方法	模型尺寸/(mm×mm)	开度范围/mm	粗糙度	Re_c范围	模型制作方法
[12]	试验、模拟	20×20	0.15	粗糙	10	树脂模型
[14]	试验	1 000×250	4.00~9.00	光滑	12~86	树脂玻璃板
[16]	试验	6 000×500	3.00~13.00	光滑/粗糙	200~1 000	树脂板粘贴凸起网格
[17]	试验	100×50	0~0.04	JRC=6~12.5	1~15	劈裂花岗岩
[18]	试验	200×100	0.50~2.00	JRC=11.2~14.5		劈裂花岗岩

试验工况	长度L/mm	宽度w/mm	平均开度e_m/mm	水力开度e_h/mm	JRC
1	202	50	0.80	0.775	0~2
2	202	50	1.00	0.956	0~2
3	202	50	1.32	1.365	0~2
4	201	50	0.56	0.596	8~10
5	201	50	0.80	0.811	8~10
6	201	50	1.20	1.182	8~10
7	200	50	0.45	0.393	18~20
8	200	50	0.70	0.697	18~20
9	200	50	0.95	0.885	18~20

试验工况	A	B	R² (公式(6))	β
1	5.86×10⁴	4.59×10⁸	0.998	6.75
2	2.81×10⁴	2.89×10⁸	0.996	6.47
3	9.65×10³	8.38×10⁷	0.998	3.83
4	1.16×10⁵	3.12×10⁹	0.999	27.19
5	4.83×10⁴	1.63×10⁹	0.999	26.26
6	1.48×10⁴	5.44×10⁸	0.999	18.61
7	4.04×10⁵	1.17×10¹⁰	0.997	44.45
8	7.25×10⁴	4.76×10⁹	0.998	56.67
9	3.54×10⁴	1.97×10⁹	0.998	37.76

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岩石粗糙裂隙大范围雷诺数条件下渗流特性

Flow characteristics of rough rock fractures under wide range of Reynolds numbers

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