时变垂向入渗影响下河渠-潜水非稳定渗流模型的解及应用

在河渠边界控制下的半无限含水层中，对时变垂向入渗影响下的潜水非稳定渗流模型，利用Boussinesq第一线性化方法，通过Laplace变换并结合卷积原理，导出模型的解析解．根据不同水文地质条件下解的数学特征，建立相应的含水层参数求解方法；在此基础上，建立计算河渠与含水层之间水量交换的公式，以及计算潜水蒸发强度的递推公式．以安徽淮北平原某河流-潜水含水层系统为例，阐述上述方法的计算过程与步骤．

Solution and Its Application of Transient Stream/Groundwater Model Subjected to Time-Dependent Vertical Seepage

Based on the first linearized Boussinesq equation,analytical solution of the transient groundwater model,which is used for describing phreatic flow in a semi-infinite aquifer bounded by a linear stream and subjected to time-dependent vertical seepage,is derived out by Laplace transform and the convolution integral.According to the mathematical characteristics of the solution,different methods for estimating aquifer parameters are constructed to satisfy different hydrological conditions.Then,the equation for estimating water exchange between stream and aquifer is proposed.And a recursion equation or estimating the intensity of phreatic evaporation is proposed too.A phreatic aquifer-stream system located in Huaibei Plain,Anhui Province,China,is taken as an example to demonstrate the estimation process of the methods stated above.