本文建立了咸/卤水入侵条件下考虑越流的地下水数学模型.该模型能同时考虑地下水密度与动力粘滞系数非线性变化的影响,高浓度梯度存在对水流运动造成的影响,水岩间的阳离子交换和越流作用.此外,为了提高计算速度,还设计了特征后退点的快速搜索算法并引用了对数Kriging插值方法,效果显著.本文提出的模型应用于描述莱州湾南岸多层含水层的咸淡水界面运移特征,模拟效果良好.还应用与求逆问题时不同的数据对模型进行了验证.拟合与验证结果均表明,该数学模型是可靠的,合理的。
A mathematical model for salt/brine water intrusion into leaky aquifer system has been developed to simulate the spatial and temporal evolution of hydraulic heads and ion concentrations of the groundwater near the east--northern coast in Laizhou Bay, Shandong Province. One important issue in developing mathematical model is to accommodate the nonlinear connection of the hydraulic head with the density and the viscosity of groundwater, intercrossed effect caused by apparent concentration difference, positive ion exchange between water and soil, leaky actions. Also, log Kriging interpolation and rapid searching arithmetic of characteristic back points is shown to be computationally efficient. The mathematical model is numerically solved to describe the motion of interface between salt water and fresh water in the southern beach of Laizhou Bay, the simulated values of the hydraulic head and the ion concentration of groundwater agree very well with the field data, model is also verified by the data that is different from the calibration situation, results show that developing mathematical model is available.