| 基于分形理论的赫巴流体在多孔介质中的渗流模型 |
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| 引用本文： | 杨仙,卢伟,金新,陈娟,冯兴法.基于分形理论的赫巴流体在多孔介质中的渗流模型[J].煤田地质与勘探,2020,48(3):122-127. |
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| 作者姓名： | 杨仙 卢伟 金新 陈娟 冯兴法 |
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| 作者单位： | 湖南科技大学资源环境与安全工程学院,湖南湘潭 411201;中煤科工集团西安研究院有限公司,陕西西安 710077;中南大学地球科学与信息物理学院,湖南长沙 410000;湖南科技大学信息与电气工程学院,湖南湘潭 411201;中煤科工集团重庆设计研究院有限公司,重庆 400016 |
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| 基金项目： | 国家自然科学基金;湖南省自然科学基金 |
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| 摘 要： | 泥浆是一种用途广泛的工程浆液,在工程施工过程中会渗流进入地层,给工程带来一定的影响。为深入研究泥浆的渗流机理,把地层模拟为多孔介质,泥浆模拟为能更全面地反映其流变性能的赫巴流体,基于分形理论,建立赫巴流体在多孔介质中的渗流模型。基于渗流模型计算结果,详细分析压力梯度、流性指数、稠度系数及孔隙率等参数对多孔介质中赫巴流体瞬时平均流速的影响,指出流速变化与压力梯度、流性指数及稠度系数的变化均呈幂指数关系,与孔隙率变化呈二项式关系,且流性指数是一个影响赫巴流体渗流速度的极敏感因素。渗流模型计算结果为相关工程中泥浆方案的设计与施工奠定了一定的理论基础。
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| 关 键 词： | 泥浆 赫巴流体 多孔介质 分形理论 渗流模型 |
| 收稿时间： | 2019-11-11 |
Fractal theory-based seepage model of Hershel-Bulkley fluid in porous medium |
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| YANG Xian,LU Wei,JIN Xin,CHEN Juan,FENG Xingfa.Fractal theory-based seepage model of Hershel-Bulkley fluid in porous medium[J].Coal Geology & Exploration,2020,48(3):122-127. |
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| Authors: | YANG Xian LU Wei JIN Xin CHEN Juan FENG Xingfa |
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| Institution: | (School of Resource,Environment and Safety Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Xi’an Research Institute Co.Ltd.,China Coal Technology and Engineering Group Corp.,Xi’an 710077,China;School of Geosciences and Info-physics,Central South University,Changsha 410000,China;School of Information and Electrical Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Chongqing Engineering Co.Ltd.,China Coal Technology&Engineering Group Crop.,Chongqing 400016,China) |
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| Abstract: | Slurry is a kind of widely-used engineering fluid. Slurry will seeps into the formation in the process of construction, which has a certain impact on the project. In order to make deeper study on the seepage mechanism of slurry, the formation is simulated as porous medium, the slurry is simulated as Hershel-Bulkley fluid which can more comprehensively reflect its rheological properties, and the seepage model of Hershel-Bulkley fluid in porous medium was established based on Fractal theory. Based on the calculation results of seepage model, the effect of pressure gradient, flow index, consistency coefficient and porosity on the instantaneous average velocity of Hershel-Bulkley fluid in porous medium were analyzed in detail. It is pointed out that the change of velocity has a power exponential relation with the change of pressure gradient, flow index and consistency coefficient, and a binomial relation with the change of porosity. The results provide theory basics for design and construction of slurry grouting in relevant projects. |
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| Keywords: | slurry Hershel-Bulkley fluid porous medium fractal theory seepage model |
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