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这里将討論承压地下水在半无限非均貭多孔介貭內的空間流动問題。整个孔隙介质的上部为不透水頂板所复盖,而且可以分为两个区域,区域1的渗透系数为c_1,經过某一鉛直分界面,突变到渗透系数为c_2的区域Ⅱ。假如在区域Ⅰ,开凿一口不完全井,当它出水时,在人工造成的水头差的作用下,地下水将經过多孔介貭向井作渗透运动。如果运动是定常的,且遵从达西(Darcy)定律,这意味着渗透速度有势,那么,就有下面的方程:
Here we discuss the spatial flow of confined groundwater in a semi-infinite heterogeneous porous medium. The upper part of the whole pore medium is covered by impervious roof, and can be divided into two regions. The permeability coefficient of region 1 is c_1, and after a certain vertical interface, it changes to region Ⅱ with permeability coefficient c_2. If, in Zone I, an incomplete well is drilled, groundwater will permeate through the porous medium to the well under the artificial head differential caused by its effluent. If the movement is constant and follows Darcy’s law, which means that the infiltration rate is on the order of magnitude, then there is the following equation: