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FORMULAE FOR AVERAGE VELOCITY OF GROUNDWATER FLOW AND EXPERIMENTAL EVIDENCE OF NON-DARCY' S FLOW THROUGH A SINGLE FRACTURE
引用本文:Qian Jia-zhong,Wang Jia-quan,Li Ru-zhongSchool of Resources and Environment Engineering,Hefei University of Technology,Hefei 230009,China,e-mail: gjzy@hfut.edu.cn Liu Yong School of Biology and Food Engineering,Hefei University of Technology,Hefei 230009,China. FORMULAE FOR AVERAGE VELOCITY OF GROUNDWATER FLOW AND EXPERIMENTAL EVIDENCE OF NON-DARCY' S FLOW THROUGH A SINGLE FRACTURE[J]. 水动力学研究与进展(B辑), 2003, 15(6)
作者姓名:Qian Jia-zhong  Wang Jia-quan  Li Ru-zhongSchool of Resources and Environment Engineering  Hefei University of Technology  Hefei 230009  China  e-mail: gjzy@hfut.edu.cn Liu Yong School of Biology and Food Engineering  Hefei University of Technology  Hefei 230009  China
作者单位:Qian Jia-zhong,Wang Jia-quan,Li Ru-zhongSchool of Resources and Environment Engineering,Hefei University of Technology,Hefei 230009,China,e-mail: gjzy@hfut.edu.cn Liu Yong School of Biology and Food Engineering,Hefei University of Technology,Hefei 230009,China
基金项目:Project supported by the National Natural Science Foundation of China.(Grant No:40202027)
摘    要:The formulae for average velocity of groundw-ater flow in a single fracture were derived based on the characteristics of fracture properties and hydraulic methods. The results show that the average velocity is proportional to the square root of the hydraulic gradient. In order to verify the results, a laboratory model was established, and the experimental data were analyzed. Experimental results indicate that the relation between the average velocity and hydraulic gradient is nonlinear, and can be fitted with power functions. And for both the unconfined and confined flows, the value of the exponent of power functions are close to 0. 5. Thus the experimental results agree well with those from the theoretical analysis. By comparing the calculated and measured values of the average velocity under the same conditions, the formulae presented herein are more effective than the traditional formula based on Darcy's Law. These results provide the evidences of non-Dar-cy's flow in single fracture.


FORMULAE FOR AVERAGE VELOCITY OF GROUNDWATER FLOW AND EXPERIMENTAL EVIDENCE OF NON-DARCY''S FLOW THROUGH A SINGLE FRACTURE
Qian Jia-zhong,WANG Jia-quan,LI Ru-zhong,Liu Yong. FORMULAE FOR AVERAGE VELOCITY OF GROUNDWATER FLOW AND EXPERIMENTAL EVIDENCE OF NON-DARCY''S FLOW THROUGH A SINGLE FRACTURE[J]. Journal of Hydrodynamics, 2003, 15(6)
Authors:Qian Jia-zhong  WANG Jia-quan  LI Ru-zhong  Liu Yong
Abstract:The formulae for average velocity of groundw-ater flow in a single fracture were derived based on the characteristics of fracture properties and hydraulic methods. The results show that the average velocity is proportional to the square root of the hydraulic gradient. In order to verify the results, a laboratory model was established, and the experimental data were analyzed. Experimental results indicate that the relation between the average velocity and hydraulic gradient is nonlinear, and can be fitted with power functions. And for both the unconfined and confined flows, the value of the exponent of power functions are close to 0. 5. Thus the experimental results agree well with those from the theoretical analysis. By comparing the calculated and measured values of the average velocity under the same conditions, the formulae presented herein are more effective than the traditional formula based on Darcy's Law. These results provide the evidences of non-Dar-cy's flow in single fracture.
Keywords:single fracture   formulae for average velocity   non-Darcy's flow   experimental verification
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