| 粗糙岩石裂隙低速非线性渗流模型及试验验证 |
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| 引用本文： | 熊峰,孙昊,姜清辉,叶祖洋,薛道锐,刘乳燕.粗糙岩石裂隙低速非线性渗流模型及试验验证[J].岩土力学,2018,39(9):3294-3302. |
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| 作者姓名： | 熊峰 孙昊 姜清辉 叶祖洋 薛道锐 刘乳燕 |
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| 作者单位： | 1. 武汉大学 土木建筑工程学院，湖北 武汉 430072；2. 武汉科技大学 资源与环境工程学院，湖北 武汉 430081 |
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| 基金项目： | 国家自然科学基金（No.51679173， No.51709207）；湖北省自然科学基金（No.2016CFA083）。 |
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| 摘 要： | 岩体粗糙裂隙非线性渗透特性是岩体渗流研究的重要课题。针对Javadi所提T模型中亚裂隙中速度恒定这一假设的不足，将其修正为速度与开度成正比的经验关系，考虑黏性压降和局部压降，提出了新的低速下粗糙裂隙非线性渗流模型（MT模型）。为了验证MT模型的正确性，对5种不同粗糙裂隙进行了低流量的饱和渗流试验，将现有模型及MT模型的预测值与试验结果进行对比，分析表明MT模型与试验结果更为吻合，且模型适用于粗糙性系数JRC≤10的低粗糙度裂隙，雷诺数小于1 000的低流速情况。对MT模型进行分析，初步揭露了粗糙裂隙的非线性渗流机制，即小雷诺数下的Darcy流和大雷诺数下的Forchheimer流，并用临界雷诺数区分两种流动行为。分析了裂隙的粗糙度和开度对非线性渗流特性的影响，表明裂隙越粗糙或开度越小，则临界雷诺数越小，非线性作用将越强。提出了临界雷诺数与水力开度和绝对粗糙度的经验关系式，同时指出该关系式适用于JRC≤10的低粗糙度裂隙。
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| 关 键 词： | 岩石裂隙 非线性流动模型 渗流试验 开度 粗糙度 临界雷诺数 |
| 收稿时间： | 2016-11-08 |
Theoretical model and experimental verification on non-linear flow at low velocity through rough-walled rock fracture |
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| XIONG Feng,SUN Hao,JIANG Qing-hui,YE Zu-yang,XUE Dao-rui,LIU Ru-yan.Theoretical model and experimental verification on non-linear flow at low velocity through rough-walled rock fracture[J].Rock and Soil Mechanics,2018,39(9):3294-3302. |
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| Authors: | XIONG Feng SUN Hao JIANG Qing-hui YE Zu-yang XUE Dao-rui LIU Ru-yan |
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| Institution: | 1. School of Civil Engineering, Wuhan University, Wuhan, Hubei 430072, China; 2. School of Resources and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, Hubei 430081, China |
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| Abstract: | Non-linear flow in rough-walled rock fracture is one of significant issues of rock mass seepage properties. Based on viscous pressure drop and local pressure drop, a novel non-linear flow model (MT model) at the low velocity though rough-walled rock fracture is proposed for the assumption of velocity proportional to an aperture in sub-fracture which takes place assumption of equal velocity in Javadi’s T model. Saturated seepage experiments of five rock fracture replicas at the low flow rate are carried out. The results show that MT model is preferable to fit experimental data compared with preceding others, so the MT model is more exact in describing non-linear flow. Furthermore, the MT model is applicable to the case: the fractures with JRC less than or equal to 10 and Reynolds number lower than 1 000. After a thorough study of MT model, it is discovered that there are two flow regimes in rough-walled rock fractures: Darcy flow in small Reynolds number and Forchheimer flow in large Reynolds number, and a critical Reynolds number is defined to differentiate between them. The effects of fracture roughness and aperture on non-linear flow are discussed. The rougher and smaller aperture of fracture is, the smaller critical Reynolds number is, and the stronger non-linear effect is. A formulation of the critical Reynolds number, hydraulic aperture and absolute roughness is developed. In addition, the formulation is reasonable in rough-walled fracture with JRC less than or equal to 10. |
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| Keywords: | rock fracture non-linear flow model seepage experiment aperture roughness critical reynolds number |
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