College of Civil Engineering and Architecture, Guangxi University, Nanning, 530004, China.
Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning, 530004, China.
Ground Water. 2019 Nov;57(6):962-968. doi: 10.1111/gwat.12886. Epub 2019 May 9.
This paper derives an equivalent of Darcian Theis solution for non-Darcian flow induced by constant rate pumping of a well in a confined aquifer. The derivation, which is valid at later times only, is original. It utilizes Izbash's equation. This introduces an additional parameter to Darcian condition, namely, empirical exponent. The solution is a non-Drcian equivalent of Jacob straight line method for analyzing pumping tests at late times. It can be used to determine aquifer parameters: storativity, analogous hydraulic conductivity, and empirical exponent. However, while the Jacob method requires a minimum of only one pumping test with one observation well, the additional parameter in the present solution means that a minimum of two observation wells in one test or two pumping tests at different rates with one observation well are required. The derived solution is applied to a case study at Plomeur in Brittany, France, and is shown to provide a practical and efficient method for analyzing pumping tests where non-Darcian groundwater flow occurs.
本文推导出了一个承压含水层中定流量抽水引起的非达西流的等效达西解。该推导仅在后期有效，是原创的。它利用了 Izbash 方程。这为达西条件引入了一个附加参数，即经验指数。该解是分析后期抽水试验的 Jacob 直线法的非达西等效解。它可用于确定含水层参数：储容系数、等效水力传导率和经验指数。然而，Jacob 方法仅需要一个抽水试验和一个观测井即可，而当前解中的附加参数意味着在一个测试中需要至少两个观测井，或者在不同速率的两个抽水试验中使用一个观测井。所推导的解应用于法国布列塔尼的 Plomeur 案例研究，并表明它为分析发生非达西地下水流动的抽水试验提供了一种实用且高效的方法。
