受潮浪和径流影响滨海承压层抽水数学模型及其解析解

为研究滨海承压含水层地下水在潮浪、抽水井流扰动及径流和越流补给综合影响下的渗流和水位变化，建立了滨海承压水抽水不稳定流的数学模型，并得到其解析解。通过实例计算和分析可知：潮浪的波动作用与抽水的井流作用将相互影响，潮位升高时承压水水位上升，减缓了抽水引起的水位下降量，而潮位降低时承压水水位下降，将加剧抽水引起的水位下降；越流和径流作用可以减缓承压水水位下降；当承压水径流朝向海洋时，径流作用使水位降“漏斗中心”逆着水流而朝远离海岸线方向移动，并且承压水径流补给对减缓地下水水位下降的作用随时间越来越明显，因此径流作用可以减轻井水受潮浪和海水入侵的影响程度；如井设置在距海岸较远处，潮浪对抽水水位降“漏斗”形状改变不明显；受潮浪和抽水共同作用时的地下水水位-时间曲线围绕仅受抽水作用时的地下水水位-时间曲线上下波动。

Mathematical model and its analytical solution for groundwater flow due to pumping in coastal leakage confined aquifer considering the impact of tide and runoff

A mathematical model and its analytical solution are developed to study the flow in coastal confined aquifer subjected to the combined effects of tide,well pumping,leakage and runoff.By the application of the solution to several cases,some conclusions can be attained,mainly including:(1) the water head of confined aquifer arises with the rise of tide,which reduces the drawdown due to pumping,while it drops with the decline of tide,which leads to intensifying the drawdown;(2) the effect of leakage and runoff...