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普通达西定律仅能求解低浓度条件下水体的运动速度。在高浓度条件下,地下水的运动规律发生明显变化,运动方程必须重新推导。本文采用平均化方法,根据对多孔介质的合理和必要的简化,通过求解液相组分宏观动量守恒方程,推导出高浓度条件下的达西定律。分析表明,修正式完善了水体运动的驱动力场,为解决沿海地区卤水入侵、岩盐沉积层中放射性核废物随地下水流的迁移、浅地表高浓度污水运移等环境水文地质问题提供了途径。
Ordinary Darcy’s law can only solve the water velocity under low concentration conditions. Under high concentration conditions, the movement of groundwater changes obviously, and the equation of motion must be deduced again. In this paper, we use the averaging method to obtain the Darcy’s law under high concentration by solving the macroscopic momentum conservation equation of the liquid phase based on the rational and necessary simplification of porous media. The analysis shows that the modified driving force field of water body improves the hydrogeological problems such as brine invasion in the coastal area, the migration of radioactive nuclear waste in groundwater layer with groundwater flow and the transport of shallow and high concentration sewage.