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| Citation: | Zhang Shuai, Wang Xusheng, Han Pengfei, Jing Ming, Chen Weiwei, Chang Buhui, 2026. Water Level Correction and Streamline Tracing in Phreatic Aquifer Pumping Well Flow Simulation Using Finite Difference Method. Earth Science, 51(6): 2152-2160. doi: 10.3799/dqkx.2025.256
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Block-centered finite difference method for simulating water levels and streamlines is the basis of numerous hydrogeological works. To address the simulation error of water levels at pumping wells in a phreatic aquifer and accurately identify streamlines, this study derives a water level correction fomula for pumping wells in the block-centered finite difference method based on complex potential theory. A coupled numerical model is developed to quantitatively analyze the impact of water level correction on the accuracy of streamlines. The results demonstrate that the correction formula significantly improves the simulation accuracy of water levels at pumping wells. Furthermore, it is clarified that when the discrete grid size is approximately 5 times the well radius, both water level and streamline simulation accuracy can be ensured without the need for correction. This study provides a theoretical basis and practical criterion for mitigating simulation errors caused by discretization in numerical modeling.
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