| 多孔介质中卡森流体的分形分析 |
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| 引用本文： | 员美娟,郁伯铭,郑伟,袁洁.多孔介质中卡森流体的分形分析[J].物理学报,2011,60(2):24703-024703. |
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| 作者姓名： | 员美娟 郁伯铭 郑伟 袁洁 |
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| 作者单位： | (1)华中科技大学物理学院,武汉 430074; (2)武汉科技大学理学院应用物理系,冶金工业过程系统科学湖北省重点实验室,武汉 430081; (3)中国科学院测量与地球物理研究所动力大地测量学重点实验室,武汉 430077 |
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| 基金项目： | 湖北省耐火材料与高温陶瓷重点实验室-省部共建国家重点实验室培育基地开放基金(批准号:G201009),湖北省自然科学基金(批准号:2009CDB187), 冶金工业过程系统科学湖北省重点实验室开放基金(批准号:C201019),国家自然科学基金重点项目(批准号:10932010)和中国科学院动力大地测量学重点实验室开放基金(批准号:L09-14)资助的课题. |
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| 摘 要： | 研究了非牛顿流体中的卡森流体在多孔介质中的流动特性.基于服从分形分布的弯曲毛细管束模型,运用分形几何理论推导出了该流体在多孔介质中流动的流量、流速、启动压力梯度和有效渗透率的分形解析解.模型中的每一个参数都有明确的物理意义,它将卡森流体在多孔介质中的流动特性与多孔介质的微结构参数有机联系起来.文中给出了卡森流体的流速、启动压力梯度和有效渗透率随着各影响因素的变化趋势,并进行了讨论.所得分形模型可以更深刻地理解卡森流体在多孔介质中流动的内在物理机理.
关键词：
多孔介质
卡森流体
分形
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| 关 键 词： | 多孔介质 卡森流体 分形 |
| 收稿时间： | 2009-12-30 |
Fractal analysis of Casson fluid flow in porous media |
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| Yuan Mei-Juan,Yu Bo-Ming,Zheng Wei,Yuan Jie.Fractal analysis of Casson fluid flow in porous media[J].Acta Physica Sinica,2011,60(2):24703-024703. |
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| Authors: | Yuan Mei-Juan Yu Bo-Ming Zheng Wei Yuan Jie |
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| Institution: | Key Laboratory of Systems Science in Metallurgical Process of Hubei Province, Department of Applied Physics, School of Science, Wuhan University of Science and Technology, Wuhan 430081, China;School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China;Key Laboratory of Dynamic Geodesy, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China;Key Laboratory of Systems Science in Metallurgical Process of Hubei Province, Department of Applied Physics, School of Science, Wuhan University of Science and Technology, Wuhan 430081, China |
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| Abstract: | Fractal models for flow rate, velocity, starting pressure gradient and effective permeability for Casson fluid in porous media are proposed based on the fractal properties of porous media and capillary model. The proposed models are expressed as functions of fractal dimension, porosity, maximum pore size and representative length of porous media. All parameters in the proposed expressions have clear physical meaning, and the proposed models relate the properties of Casson fluid to the structural parameters of porous media. The velocity, starting pressure gradient and effective permeability versus different parameters are discussed, and the analytical expressions reveal the physical principles for flow velocity, starting pressure gradient and effective permeability in porous media. |
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| Keywords: | porous media Casson fluid fractal |
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