【摘要】 对河渠边界控制的半无限含水层,建立垂向入渗与河渠水平渗透共同作用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,给出模型的解析解.证明相关经典公式与模型特定解之间的转换关系,分析经典公式适用范围.根据模型解,逐一定量研究下述变量,如垂向入渗强度、河渠水位变动幅度、含水层结构参数如给水度和导压系数、计算点与边界之间的距离,对渗流过程的影响.这些变量的变化,对潜水位获最大上升速度的时间产生延迟效应;论证一些变量间产生等效延迟效应的条件.根据解的数学特征,讨论其对应的物理意义和潜水位变动规律.更多还原

【Abstract】 In a semi-infinite aquifer bounded by a channel,a transient flow model is constructed for phreatic water subjected to vertical and horizontal seepage.Based on the first linearized Boussinesq equation,the analytical solution of the model is obtained by Laplace transform.Having proven the transformation between the analytical solution and some relevant classic formulas,suitable condition for each of these formulas is demonstrated.According to the analytical solution,the variation of transient flow process caused by the variables,such as vertical infiltration intensity,fluctuation range of river stage,aquifer parameters such as transmissivity and specific yield,and the distance from calculating point to channel boundary,is analyzed quantitatively one by one.Lagging effect will happen to the time,when phreatic water gets its maximum fluctuation velocity,response to the varying of the variables stated above.The condition for some variables that can form equivalent lagging effect is demonstrated.Corresponding to the mathematical characteristics of the analytical solution,the physical implication and the fluctuation rule of groundwater level are discussed.更多还原