| Title |
Evaluating Applicability of Hunt's Analytical Solution for Groundwater Pumping from a Leaky Aquifer |
| Authors |
이정우(Lee, Jeongwoo) ; 정일문(Chung, Il-Moon) |
| DOI |
https://doi.org/10.12652/Ksce.2020.40.6.0555 |
| Keywords |
Hunt 해석해;누수대수층;하천수 감소량;지하수 양수 Hunt's analytical solution;Leaky aquifer;Stream depletion;Groundwater pumping;MODFLOW |
| Abstract |
In this study, the applicability of Hunt's analytical solution for a two-layered leaky aquifer system, which was developed to estimate stream depletion due to the groundwater pumping of the upper shallow aquifer, was evaluated. The 5-year averaged stream depletions were estimated using Hunt's analytical solution for various combinations of hydraulic characteristic values such as transmissivity, storage coefficient of the two aquifers, interlayer leakage coefficient, stream-well distance, hydraulic conductivity of the streambed, and stream width. Through comparison with the numerical solution accurately simulated with a MODFLOW groundwater flow model, the analytical solution derived by regarding the stream width as a point was evaluated. It was found that the error in the stream depletion calculated by the analytical solution can be reduced to less than 0.05 when the stream-well distance is greater than the stream width or when the stream depletion factor (SDF) is more than about 3,000 days. In addition, when the streambed hydraulic conductivity is less than 1 m/d, the hydraulic diffusion coefficient of the lower aquifer layer is less than 100 ㎡/d, the hydraulic diffusion coefficient ratio of the upper and lower aquifer layers is 5 or more, and the leakage coefficient between the layers is less than 0.0004 m/d, the overall analytical solutions were overestimated compared with the numerical solutions. |