潜水含水层底板倾斜情况下排水地段的地下水非稳定流计算

Analytical sloution of unsteady now in a phreatic acquifer over an inclined impermeable bed

本文采用描述潜水面的Ｂｏｕｓｓｉｎｅｓｑ偏微分方程，求解含水层底板倾斜情况下，地下水流向完整沟时一维非稳定流的解析解，计算了含水层底板坡度７０％以内地下水面线最高点地下水位及位置，与Ｌｕｔｈｉｎ和Ｇｕｉｔｊｅｎｓ模型试验结果［１］及Ｓｈｕｋｌａ等的有限差分计算结果［５］比较，认为排水历时较短时，坡度小于４０％解析解计算结果与他们的成果相符合，该文提出了含水层底板水平及倾斜情况下的排水沟距计算公式，供设计部门参考。

The partial differential Boussinesq equation describing the phreatic surface is used to derive the analytical solution of one dimensional unsteady flow in a phreatic acquifer resting on a incined impervious barrier with parallel drainage ditches. The highest water level and its location have been found when the slopeisless than 70%, and the calculated results are compared with the Luthin and Guitjens experimental result and Shukla et al finite difference solution (5). The reasonable agreement is obtained less than 40% slope when drainge time is not long.