摘要

Based on grey system theory, the basic grey numerical model of groundwater flow system is analyzed, and grey finite difference equation is derived for each discrete node in modeling region. By comparing the results for grey solving method with classical numerical method, the groundwater level value solved by grey finite numerical model is a "grey band" but that from classical numerical solution is precisely included among the "grey band". That proves it has more objective results to model. It is said that the groundwater flow system established by the grey differential is more reasonable. The grey finite differential numerical modeling develops a new field to research the groundwater movement and will play an important role in scientific evaluation and rational utilization of groundwater resources as well as protection of groundwater environment.