Analytical solutions for constant-rate test in bounded confined aquifers with non-Darcian effect |
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| Authors: | Yi-jie Zong Li-hua Chen Jian-jun Liu Yue-hui Liu Yong-xin Xu Fu-wan Gan Liang Xiao |
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| Institution: | 1.College of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China2.Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning 530004, China3.Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, Nanning 530004, China4.Department of Earth Sciences, University of the Western Cape, Cape Town 8000, South Africa |
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| Abstract: | This paper proposes a simplified analytical solution considering non-Darcian and wellbore storage effect to investigate the pumping flow in a confined aquifer with barrier and recharge boundaries. The mathematical modelling for the pumping-induced flow in aquifers with different boundaries is developed by employing image-well theory with the superposition principle, of which the non-Darcian effect is characterized by Izbash’s equation. The solutions are derived by Boltzmann and dimensionless transformations. Then, the non-Darcian effect and wellbore storage are especially investigated according to the proposed solution. The results show that the aquifer boundaries have non-negligible effects on pumping, and ignoring the wellbore storage can lead to an over-estimation of the drawdown in the first 10 minutes of pumping. The higher the degree of non-Darcian, the smaller the drawdown. |
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| Keywords: | Non-Darcian effect Bounded aquifer Wellbore storage Izbash’s equation Analytical solution |
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